id sid tid token lemma pos iajs-3060 1 1 ihjpas ihjpas PROPN iajs-3060 1 2 . . PUNCT iajs-3060 2 1 36(2)2023 36(2)2023 NUM iajs-3060 2 2 420 420 NUM iajs-3060 2 3 this this DET iajs-3060 2 4 work work NOUN iajs-3060 2 5 is be AUX iajs-3060 2 6 licensed license VERB iajs-3060 2 7 under under ADP iajs-3060 2 8 a a DET iajs-3060 2 9 creative creative ADJ iajs-3060 2 10 commons common NOUN iajs-3060 2 11 attribution attribution NOUN iajs-3060 2 12 4.0 4.0 NUM iajs-3060 2 13 international international ADJ iajs-3060 2 14 license license NOUN iajs-3060 2 15 abstract abstract ADJ iajs-3060 2 16 time time NOUN iajs-3060 2 17 series series PROPN iajs-3060 2 18 analysis analysis NOUN iajs-3060 2 19 is be AUX iajs-3060 2 20 the the DET iajs-3060 2 21 statistical statistical ADJ iajs-3060 2 22 approach approach NOUN iajs-3060 2 23 used use VERB iajs-3060 2 24 to to PART iajs-3060 2 25 analyze analyze VERB iajs-3060 2 26 a a DET iajs-3060 2 27 series series NOUN iajs-3060 2 28 of of ADP iajs-3060 2 29 data data PROPN iajs-3060 2 30 . . PUNCT iajs-3060 3 1 time time PROPN iajs-3060 3 2 series series PROPN iajs-3060 3 3 is be AUX iajs-3060 3 4 the the DET iajs-3060 3 5 most most ADV iajs-3060 3 6 popular popular ADJ iajs-3060 3 7 statistical statistical ADJ iajs-3060 3 8 method method NOUN iajs-3060 3 9 for for ADP iajs-3060 3 10 forecasting forecasting NOUN iajs-3060 3 11 , , PUNCT iajs-3060 3 12 which which PRON iajs-3060 3 13 is be AUX iajs-3060 3 14 widely widely ADV iajs-3060 3 15 used use VERB iajs-3060 3 16 in in ADP iajs-3060 3 17 several several ADJ iajs-3060 3 18 statistical statistical ADJ iajs-3060 3 19 and and CCONJ iajs-3060 3 20 economic economic ADJ iajs-3060 3 21 applications application NOUN iajs-3060 3 22 . . PUNCT iajs-3060 4 1 the the DET iajs-3060 4 2 wavelet wavelet NOUN iajs-3060 4 3 transform transform NOUN iajs-3060 4 4 is be AUX iajs-3060 4 5 a a DET iajs-3060 4 6 powerful powerful ADJ iajs-3060 4 7 mathematical mathematical ADJ iajs-3060 4 8 technique technique NOUN iajs-3060 4 9 that that PRON iajs-3060 4 10 converts convert VERB iajs-3060 4 11 an an DET iajs-3060 4 12 analyzed analyze VERB iajs-3060 4 13 signal signal NOUN iajs-3060 4 14 into into ADP iajs-3060 4 15 a a DET iajs-3060 4 16 time time NOUN iajs-3060 4 17 - - PUNCT iajs-3060 4 18 frequency frequency NOUN iajs-3060 4 19 representation representation NOUN iajs-3060 4 20 . . PUNCT iajs-3060 5 1 the the DET iajs-3060 5 2 wavelet wavelet NOUN iajs-3060 5 3 transform transform NOUN iajs-3060 5 4 method method NOUN iajs-3060 5 5 provides provide VERB iajs-3060 5 6 signal signal ADJ iajs-3060 5 7 information information NOUN iajs-3060 5 8 in in ADP iajs-3060 5 9 both both CCONJ iajs-3060 5 10 the the DET iajs-3060 5 11 time time NOUN iajs-3060 5 12 domain domain NOUN iajs-3060 5 13 and and CCONJ iajs-3060 5 14 frequency frequency NOUN iajs-3060 5 15 domain domain NOUN iajs-3060 5 16 . . PUNCT iajs-3060 6 1 the the DET iajs-3060 6 2 aims aim NOUN iajs-3060 6 3 of of ADP iajs-3060 6 4 this this DET iajs-3060 6 5 study study NOUN iajs-3060 6 6 are be AUX iajs-3060 6 7 to to PART iajs-3060 6 8 propose propose VERB iajs-3060 6 9 a a DET iajs-3060 6 10 wavelet wavelet NOUN iajs-3060 6 11 function function NOUN iajs-3060 6 12 by by ADP iajs-3060 6 13 derivation derivation NOUN iajs-3060 6 14 of of ADP iajs-3060 6 15 a a DET iajs-3060 6 16 quotient quotient NOUN iajs-3060 6 17 from from ADP iajs-3060 6 18 two two NUM iajs-3060 6 19 different different ADJ iajs-3060 6 20 fibonacci fibonacci NOUN iajs-3060 6 21 coefficient coefficient NOUN iajs-3060 6 22 polynomials polynomial NOUN iajs-3060 6 23 , , PUNCT iajs-3060 6 24 as as ADV iajs-3060 6 25 well well ADV iajs-3060 6 26 as as ADP iajs-3060 6 27 a a DET iajs-3060 6 28 comparison comparison NOUN iajs-3060 6 29 between between ADP iajs-3060 6 30 arima arima PROPN iajs-3060 6 31 and and CCONJ iajs-3060 6 32 wavelet wavelet NOUN iajs-3060 6 33 - - PUNCT iajs-3060 6 34 arima arima NOUN iajs-3060 6 35 . . PUNCT iajs-3060 7 1 the the DET iajs-3060 7 2 time time NOUN iajs-3060 7 3 series series PROPN iajs-3060 7 4 data data PROPN iajs-3060 7 5 for for ADP iajs-3060 7 6 daily daily ADJ iajs-3060 7 7 wind wind NOUN iajs-3060 7 8 speed speed NOUN iajs-3060 7 9 is be AUX iajs-3060 7 10 used use VERB iajs-3060 7 11 for for ADP iajs-3060 7 12 this this DET iajs-3060 7 13 study study NOUN iajs-3060 7 14 . . PUNCT iajs-3060 8 1 from from ADP iajs-3060 8 2 the the DET iajs-3060 8 3 obtained obtain VERB iajs-3060 8 4 results result NOUN iajs-3060 8 5 , , PUNCT iajs-3060 8 6 the the DET iajs-3060 8 7 proposed propose VERB iajs-3060 8 8 waveletarima waveletarima NOUN iajs-3060 8 9 is be AUX iajs-3060 8 10 the the DET iajs-3060 8 11 most most ADV iajs-3060 8 12 appropriate appropriate ADJ iajs-3060 8 13 wavelet wavelet NOUN iajs-3060 8 14 for for ADP iajs-3060 8 15 wind wind NOUN iajs-3060 8 16 speed speed NOUN iajs-3060 8 17 . . PUNCT iajs-3060 9 1 as as SCONJ iajs-3060 9 2 compared compare VERB iajs-3060 9 3 to to ADP iajs-3060 9 4 wavelets wavelet NOUN iajs-3060 9 5 the the DET iajs-3060 9 6 proposed propose VERB iajs-3060 9 7 wavelet wavelet NOUN iajs-3060 9 8 is be AUX iajs-3060 9 9 the the DET iajs-3060 9 10 most most ADV iajs-3060 9 11 appropriate appropriate ADJ iajs-3060 9 12 wavelet wavelet NOUN iajs-3060 9 13 for for ADP iajs-3060 9 14 wind wind NOUN iajs-3060 9 15 speed speed NOUN iajs-3060 9 16 forecasting forecasting NOUN iajs-3060 9 17 , , PUNCT iajs-3060 9 18 it it PRON iajs-3060 9 19 gives give VERB iajs-3060 9 20 us we PRON iajs-3060 9 21 less less ADJ iajs-3060 9 22 value value NOUN iajs-3060 9 23 of of ADP iajs-3060 9 24 mae mae PROPN iajs-3060 9 25 and and CCONJ iajs-3060 9 26 rmse rmse NOUN iajs-3060 9 27 . . PUNCT iajs-3060 10 1 keywords keyword NOUN iajs-3060 10 2 : : PUNCT iajs-3060 10 3 arima arima PROPN iajs-3060 10 4 , , PUNCT iajs-3060 10 5 fibonacci fibonacci PROPN iajs-3060 10 6 coefficient coefficient NOUN iajs-3060 10 7 polynomials polynomial NOUN iajs-3060 10 8 , , PUNCT iajs-3060 10 9 proposed propose VERB iajs-3060 10 10 wavelet wavelet NOUN iajs-3060 10 11 , , PUNCT iajs-3060 10 12 time time NOUN iajs-3060 10 13 series series NOUN iajs-3060 10 14 , , PUNCT iajs-3060 10 15 wavelet wavelet NOUN iajs-3060 10 16 transform transform NOUN iajs-3060 10 17 . . PUNCT iajs-3060 11 1 1 1 X iajs-3060 11 2 . . X iajs-3060 11 3 introduction introduction NOUN iajs-3060 11 4 wavelet wavelet NOUN iajs-3060 11 5 analysis analysis NOUN iajs-3060 11 6 is be AUX iajs-3060 11 7 an an DET iajs-3060 11 8 approach approach NOUN iajs-3060 11 9 for for ADP iajs-3060 11 10 resolving resolve VERB iajs-3060 11 11 difficult difficult ADJ iajs-3060 11 12 issues issue NOUN iajs-3060 11 13 in in ADP iajs-3060 11 14 mathematics mathematic NOUN iajs-3060 11 15 , , PUNCT iajs-3060 11 16 physics physics NOUN iajs-3060 11 17 , , PUNCT iajs-3060 11 18 and and CCONJ iajs-3060 11 19 engineering engineering NOUN iajs-3060 11 20 . . PUNCT iajs-3060 12 1 wavelet wavelet NOUN iajs-3060 12 2 transform transform NOUN iajs-3060 12 3 is be AUX iajs-3060 12 4 the the DET iajs-3060 12 5 improved improved ADJ iajs-3060 12 6 form form NOUN iajs-3060 12 7 of of ADP iajs-3060 12 8 fourier fourier NOUN iajs-3060 12 9 transform transform NOUN iajs-3060 12 10 since since SCONJ iajs-3060 12 11 the the DET iajs-3060 12 12 fourier fourier NOUN iajs-3060 12 13 transform transform NOUN iajs-3060 12 14 is be AUX iajs-3060 12 15 a a DET iajs-3060 12 16 helpful helpful ADJ iajs-3060 12 17 tool tool NOUN iajs-3060 12 18 for for ADP iajs-3060 12 19 studding stud VERB iajs-3060 12 20 the the DET iajs-3060 12 21 component component NOUN iajs-3060 12 22 of of ADP iajs-3060 12 23 a a DET iajs-3060 12 24 stationary stationary ADJ iajs-3060 12 25 data datum NOUN iajs-3060 12 26 . . PUNCT iajs-3060 13 1 however however ADV iajs-3060 13 2 , , PUNCT iajs-3060 13 3 it it PRON iajs-3060 13 4 is be AUX iajs-3060 13 5 incapable incapable ADJ iajs-3060 13 6 to to PART iajs-3060 13 7 analyse analyse VERB iajs-3060 13 8 non non ADJ iajs-3060 13 9 - - ADJ iajs-3060 13 10 stationary stationary ADJ iajs-3060 13 11 signals signal NOUN iajs-3060 13 12 , , PUNCT iajs-3060 13 13 whereas whereas SCONJ iajs-3060 13 14 wavelet wavelet NOUN iajs-3060 13 15 transform transform NOUN iajs-3060 13 16 allows allow VERB iajs-3060 13 17 for for ADP iajs-3060 13 18 the the DET iajs-3060 13 19 analysis analysis NOUN iajs-3060 13 20 of of ADP iajs-3060 13 21 nonstationary nonstationary ADJ iajs-3060 13 22 signal signal ADJ iajs-3060 13 23 components component NOUN iajs-3060 14 1 [ [ X iajs-3060 14 2 1 1 NUM iajs-3060 14 3 ] ] PUNCT iajs-3060 14 4 . . PUNCT iajs-3060 15 1 morlet morlet PROPN iajs-3060 15 2 , , PUNCT iajs-3060 15 3 arens arens PROPN iajs-3060 15 4 , , PUNCT iajs-3060 15 5 fourgeau fourgeau PROPN iajs-3060 15 6 , , PUNCT iajs-3060 15 7 giard giard NOUN iajs-3060 15 8 , , PUNCT iajs-3060 15 9 and and CCONJ iajs-3060 15 10 grossman grossman NOUN iajs-3060 16 1 [ [ X iajs-3060 16 2 2 2 X iajs-3060 16 3 ] ] PUNCT iajs-3060 16 4 were be AUX iajs-3060 16 5 the the DET iajs-3060 16 6 first first ADJ iajs-3060 16 7 to to PART iajs-3060 16 8 use use VERB iajs-3060 16 9 the the DET iajs-3060 16 10 name name NOUN iajs-3060 16 11 wavelet wavelet NOUN iajs-3060 16 12 in in ADP iajs-3060 16 13 their their PRON iajs-3060 16 14 work work NOUN iajs-3060 16 15 in in ADP iajs-3060 16 16 the the DET iajs-3060 16 17 early early ADJ iajs-3060 16 18 1980s 1980s NUM iajs-3060 16 19 . . PUNCT iajs-3060 17 1 jean jean PROPN iajs-3060 17 2 morlet morlet PROPN iajs-3060 17 3 and and CCONJ iajs-3060 17 4 alex alex PROPN iajs-3060 17 5 grossman grossman PROPN iajs-3060 17 6 introduced introduce VERB iajs-3060 17 7 the the DET iajs-3060 17 8 concept concept NOUN iajs-3060 17 9 of of ADP iajs-3060 17 10 wavelets wavelet NOUN iajs-3060 17 11 in in ADP iajs-3060 17 12 1982 1982 NUM iajs-3060 17 13 . . PUNCT iajs-3060 18 1 the the DET iajs-3060 18 2 mother mother NOUN iajs-3060 18 3 wavelet wavelet NOUN iajs-3060 18 4 is be AUX iajs-3060 18 5 a a DET iajs-3060 18 6 family family NOUN iajs-3060 18 7 of of ADP iajs-3060 18 8 functions function NOUN iajs-3060 18 9 formed form VERB iajs-3060 18 10 by by ADP iajs-3060 18 11 translating translate VERB iajs-3060 18 12 and and CCONJ iajs-3060 18 13 dilation dilation NOUN iajs-3060 18 14 of of ADP iajs-3060 18 15 a a DET iajs-3060 18 16 single single ADJ iajs-3060 18 17 function function NOUN iajs-3060 18 18 . . PUNCT iajs-3060 19 1 wavelets wavelet NOUN iajs-3060 19 2 are be AUX iajs-3060 19 3 mathematical mathematical ADJ iajs-3060 19 4 functions function NOUN iajs-3060 19 5 that that PRON iajs-3060 19 6 divide divide VERB iajs-3060 19 7 data datum NOUN iajs-3060 19 8 into into ADP iajs-3060 19 9 distinct distinct ADJ iajs-3060 19 10 frequency frequency NOUN iajs-3060 19 11 components component NOUN iajs-3060 19 12 and and CCONJ iajs-3060 19 13 analyse analyse VERB iajs-3060 19 14 each each DET iajs-3060 19 15 component component NOUN iajs-3060 19 16 with with ADP iajs-3060 19 17 a a DET iajs-3060 19 18 resolution resolution NOUN iajs-3060 19 19 that that PRON iajs-3060 19 20 doi.org/10.30526/36.2.3060 doi.org/10.30526/36.2.3060 NOUN iajs-3060 19 21 article article NOUN iajs-3060 19 22 history history NOUN iajs-3060 19 23 : : PUNCT iajs-3060 19 24 received receive VERB iajs-3060 19 25 16 16 NUM iajs-3060 19 26 september september PROPN iajs-3060 19 27 2022 2022 NUM iajs-3060 19 28 , , PUNCT iajs-3060 19 29 accepted accept VERB iajs-3060 19 30 6 6 NUM iajs-3060 19 31 november november PROPN iajs-3060 19 32 2022 2022 NUM iajs-3060 19 33 , , PUNCT iajs-3060 19 34 published publish VERB iajs-3060 19 35 in in ADP iajs-3060 19 36 april april PROPN iajs-3060 19 37 2023 2023 NUM iajs-3060 19 38 . . PUNCT iajs-3060 20 1 ibn ibn PROPN iajs-3060 20 2 al al PROPN iajs-3060 20 3 - - PUNCT iajs-3060 20 4 haitham haitham PROPN iajs-3060 20 5 journal journal PROPN iajs-3060 20 6 for for ADP iajs-3060 20 7 pure pure ADJ iajs-3060 20 8 and and CCONJ iajs-3060 20 9 applied applied ADJ iajs-3060 20 10 sciences sciences PROPN iajs-3060 20 11 journal journal PROPN iajs-3060 20 12 homepage homepage NOUN iajs-3060 20 13 : : PUNCT iajs-3060 20 14 jih.uobaghdad.edu.iq jih.uobaghdad.edu.iq VERB iajs-3060 20 15 a a DET iajs-3060 20 16 proposed propose VERB iajs-3060 20 17 wavelet wavelet NOUN iajs-3060 20 18 and and CCONJ iajs-3060 20 19 forecasting forecasting NOUN iajs-3060 20 20 wind wind NOUN iajs-3060 20 21 speed speed NOUN iajs-3060 20 22 with with ADP iajs-3060 20 23 application application NOUN iajs-3060 20 24 monem monem PROPN iajs-3060 20 25 a. a. PROPN iajs-3060 20 26 mohammed mohammed PROPN iajs-3060 20 27 department department PROPN iajs-3060 20 28 of of ADP iajs-3060 20 29 statistics statistic NOUN iajs-3060 20 30 and and CCONJ iajs-3060 20 31 informatics informatic NOUN iajs-3060 20 32 , , PUNCT iajs-3060 20 33 college college NOUN iajs-3060 20 34 of of ADP iajs-3060 20 35 administration administration NOUN iajs-3060 20 36 and and CCONJ iajs-3060 20 37 economics economic NOUN iajs-3060 20 38 , , PUNCT iajs-3060 20 39 university university NOUN iajs-3060 20 40 of of ADP iajs-3060 20 41 sulaimani sulaimani PROPN iajs-3060 20 42 , , PUNCT iajs-3060 20 43 kurdistan kurdistan PROPN iajs-3060 20 44 region region NOUN iajs-3060 20 45 , , PUNCT iajs-3060 20 46 iraq iraq PROPN iajs-3060 20 47 monem.mohammed@uivsul.edu.iq monem.mohammed@uivsul.edu.iq PROPN iajs-3060 20 48 layla layla PROPN iajs-3060 20 49 a. a. PROPN iajs-3060 20 50 ahmed ahmed PROPN iajs-3060 20 51 department department PROPN iajs-3060 20 52 of of ADP iajs-3060 20 53 statistics statistic NOUN iajs-3060 20 54 and and CCONJ iajs-3060 20 55 informatics informatic NOUN iajs-3060 20 56 , , PUNCT iajs-3060 20 57 college college NOUN iajs-3060 20 58 of of ADP iajs-3060 20 59 administration administration NOUN iajs-3060 20 60 and and CCONJ iajs-3060 20 61 economics economic NOUN iajs-3060 20 62 , , PUNCT iajs-3060 20 63 university university NOUN iajs-3060 20 64 of of ADP iajs-3060 20 65 sulaimani sulaimani PROPN iajs-3060 20 66 , , PUNCT iajs-3060 20 67 kurdistan kurdistan PROPN iajs-3060 20 68 region region NOUN iajs-3060 20 69 , , PUNCT iajs-3060 20 70 iraq iraq PROPN iajs-3060 20 71 , , PUNCT iajs-3060 20 72 department department NOUN iajs-3060 20 73 of of ADP iajs-3060 20 74 mathematics mathematics PROPN iajs-3060 20 75 , , PUNCT iajs-3060 20 76 college college NOUN iajs-3060 20 77 of of ADP iajs-3060 20 78 education education NOUN iajs-3060 20 79 , , PUNCT iajs-3060 20 80 university university NOUN iajs-3060 20 81 of of ADP iajs-3060 20 82 garmian garmian PROPN iajs-3060 20 83 , , PUNCT iajs-3060 20 84 kurdistan kurdistan ADJ iajs-3060 20 85 region region NOUN iajs-3060 20 86 , , PUNCT iajs-3060 20 87 iraq iraq PROPN iajs-3060 20 88 layla.aziz@garmian.edu.krd layla.aziz@garmian.edu.krd PROPN iajs-3060 20 89 https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ PROPN iajs-3060 20 90 mailto:monem.mohammed@uivsul.edu.iq mailto:monem.mohammed@uivsul.edu.iq PROPN iajs-3060 20 91 mailto:layla.aziz@garmian.edu.krd mailto:layla.aziz@garmian.edu.krd NOUN iajs-3060 20 92 ihjpas ihjpa VERB iajs-3060 20 93 . . PUNCT iajs-3060 21 1 36(2)2023 36(2)2023 NUM iajs-3060 21 2 421 421 NUM iajs-3060 21 3 matches match NOUN iajs-3060 21 4 to to ADP iajs-3060 21 5 its its PRON iajs-3060 21 6 scale scale NOUN iajs-3060 21 7 [ [ X iajs-3060 21 8 3 3 NUM iajs-3060 21 9 , , PUNCT iajs-3060 21 10 4 4 NUM iajs-3060 21 11 ] ] PUNCT iajs-3060 21 12 . . PUNCT iajs-3060 22 1 wavelets wavelet NOUN iajs-3060 22 2 are be AUX iajs-3060 22 3 commonly commonly ADV iajs-3060 22 4 used use VERB iajs-3060 22 5 in in ADP iajs-3060 22 6 time time NOUN iajs-3060 22 7 series series NOUN iajs-3060 22 8 analysis analysis NOUN iajs-3060 22 9 [ [ X iajs-3060 22 10 5 5 NUM iajs-3060 22 11 , , PUNCT iajs-3060 22 12 6 6 NUM iajs-3060 22 13 ] ] PUNCT iajs-3060 22 14 . . PUNCT iajs-3060 23 1 in in ADP iajs-3060 23 2 ( ( PUNCT iajs-3060 23 3 2013 2013 NUM iajs-3060 23 4 ) ) PUNCT iajs-3060 23 5 ramesh ramesh NOUN iajs-3060 23 6 and and CCONJ iajs-3060 23 7 pachiyappan pachiyappan NOUN iajs-3060 23 8 [ [ X iajs-3060 23 9 7 7 NUM iajs-3060 23 10 ] ] PUNCT iajs-3060 23 11 proposed propose VERB iajs-3060 23 12 a a DET iajs-3060 23 13 hybrid hybrid ADJ iajs-3060 23 14 predicts predict NOUN iajs-3060 23 15 approach approach NOUN iajs-3060 23 16 consisting consist VERB iajs-3060 23 17 of of ADP iajs-3060 23 18 wavelet wavelet NOUN iajs-3060 23 19 transforms transform VERB iajs-3060 23 20 and and CCONJ iajs-3060 23 21 ann ann PROPN iajs-3060 23 22 to to PART iajs-3060 23 23 predict predict VERB iajs-3060 23 24 the the DET iajs-3060 23 25 wind wind NOUN iajs-3060 23 26 speed speed NOUN iajs-3060 23 27 . . PUNCT iajs-3060 24 1 study study NOUN iajs-3060 24 2 shows show VERB iajs-3060 24 3 that that SCONJ iajs-3060 24 4 the the DET iajs-3060 24 5 proposed propose VERB iajs-3060 24 6 method method NOUN iajs-3060 24 7 improves improve VERB iajs-3060 24 8 the the DET iajs-3060 24 9 predict predict ADJ iajs-3060 24 10 accuracy accuracy NOUN iajs-3060 24 11 of of ADP iajs-3060 24 12 wind wind NOUN iajs-3060 24 13 speed speed NOUN iajs-3060 24 14 and and CCONJ iajs-3060 24 15 justifies justify VERB iajs-3060 24 16 the the DET iajs-3060 24 17 application application NOUN iajs-3060 24 18 's 's PART iajs-3060 24 19 ability ability NOUN iajs-3060 24 20 to to PART iajs-3060 24 21 predict predict VERB iajs-3060 24 22 short short ADJ iajs-3060 24 23 - - PUNCT iajs-3060 24 24 term term NOUN iajs-3060 24 25 wind wind NOUN iajs-3060 24 26 speed speed NOUN iajs-3060 24 27 . . PUNCT iajs-3060 25 1 in in ADP iajs-3060 25 2 ( ( PUNCT iajs-3060 25 3 2013 2013 NUM iajs-3060 25 4 ) ) PUNCT iajs-3060 25 5 ramana ramana PROPN iajs-3060 25 6 et et PROPN iajs-3060 25 7 al al PROPN iajs-3060 25 8 . . PUNCT iajs-3060 26 1 [ [ X iajs-3060 26 2 8 8 NUM iajs-3060 26 3 ] ] PUNCT iajs-3060 26 4 introduced introduce VERB iajs-3060 26 5 a a DET iajs-3060 26 6 wavelet wavelet NOUN iajs-3060 26 7 neural neural ADJ iajs-3060 26 8 networks network NOUN iajs-3060 26 9 , , PUNCT iajs-3060 26 10 that that PRON iajs-3060 26 11 is be AUX iajs-3060 26 12 the the DET iajs-3060 26 13 mixture mixture NOUN iajs-3060 26 14 of of ADP iajs-3060 26 15 wavelets wavelet NOUN iajs-3060 26 16 analysis analysis NOUN iajs-3060 26 17 and and CCONJ iajs-3060 26 18 neural neural ADJ iajs-3060 26 19 networks network NOUN iajs-3060 26 20 for for ADP iajs-3060 26 21 rainfall rainfall NOUN iajs-3060 26 22 forecast forecast NOUN iajs-3060 26 23 darjeeling darjeeling NOUN iajs-3060 26 24 station station NOUN iajs-3060 26 25 , , PUNCT iajs-3060 26 26 india india PROPN iajs-3060 26 27 . . PROPN iajs-3060 27 1 used use VERB iajs-3060 27 2 discrete discrete ADJ iajs-3060 27 3 wavelet wavelet NOUN iajs-3060 27 4 transforms transform VERB iajs-3060 27 5 . . PUNCT iajs-3060 28 1 in in ADP iajs-3060 28 2 ( ( PUNCT iajs-3060 28 3 2013 2013 NUM iajs-3060 28 4 ) ) PUNCT iajs-3060 28 5 al al PROPN iajs-3060 28 6 wadi wadi PROPN iajs-3060 28 7 et et PROPN iajs-3060 28 8 al al PROPN iajs-3060 28 9 . . PUNCT iajs-3060 29 1 [ [ X iajs-3060 29 2 9 9 NUM iajs-3060 29 3 ] ] PUNCT iajs-3060 29 4 used use VERB iajs-3060 29 5 a a DET iajs-3060 29 6 maximal maximal ADJ iajs-3060 29 7 overlaps overlap NOUN iajs-3060 29 8 discrete discrete ADJ iajs-3060 29 9 wavelet wavelet NOUN iajs-3060 29 10 transform transform NOUN iajs-3060 29 11 ( ( PUNCT iajs-3060 29 12 modwt modwt NOUN iajs-3060 29 13 ) ) PUNCT iajs-3060 29 14 to to PART iajs-3060 29 15 improve improve VERB iajs-3060 29 16 the the DET iajs-3060 29 17 accuracy accuracy NOUN iajs-3060 29 18 of of ADP iajs-3060 29 19 time time NOUN iajs-3060 29 20 series series PROPN iajs-3060 29 21 data data PROPN iajs-3060 29 22 forecasting forecasting NOUN iajs-3060 29 23 . . PUNCT iajs-3060 30 1 the the DET iajs-3060 30 2 findings finding NOUN iajs-3060 30 3 demonstrate demonstrate VERB iajs-3060 30 4 that that SCONJ iajs-3060 30 5 combining combine VERB iajs-3060 30 6 modwt modwt NOUN iajs-3060 30 7 with with ADP iajs-3060 30 8 the the DET iajs-3060 30 9 arima arima PROPN iajs-3060 30 10 model model NOUN iajs-3060 30 11 improves improve VERB iajs-3060 30 12 predicting predict VERB iajs-3060 30 13 accuracy accuracy NOUN iajs-3060 30 14 . . PUNCT iajs-3060 31 1 in in ADP iajs-3060 31 2 ( ( PUNCT iajs-3060 31 3 2014 2014 NUM iajs-3060 31 4 ) ) PUNCT iajs-3060 31 5 chandra chandra PROPN iajs-3060 31 6 et et PROPN iajs-3060 31 7 al al PROPN iajs-3060 31 8 . . PUNCT iajs-3060 32 1 [ [ X iajs-3060 32 2 10 10 NUM iajs-3060 32 3 ] ] PUNCT iajs-3060 32 4 used use VERB iajs-3060 32 5 morlet morlet NOUN iajs-3060 32 6 and and CCONJ iajs-3060 32 7 mexican mexican ADJ iajs-3060 32 8 hat hat NOUN iajs-3060 32 9 wavelets wavelet NOUN iajs-3060 32 10 for for ADP iajs-3060 32 11 wind wind NOUN iajs-3060 32 12 speed speed NOUN iajs-3060 32 13 predicting predict VERB iajs-3060 32 14 based base VERB iajs-3060 32 15 on on ADP iajs-3060 32 16 adaptive adaptive ADJ iajs-3060 32 17 wavelet wavelet NOUN iajs-3060 32 18 neural neural ADJ iajs-3060 32 19 networks network NOUN iajs-3060 32 20 . . PUNCT iajs-3060 33 1 the the DET iajs-3060 33 2 results result NOUN iajs-3060 33 3 of of ADP iajs-3060 33 4 morlet morlet ADJ iajs-3060 33 5 wavelet wavelet NOUN iajs-3060 33 6 wind wind NOUN iajs-3060 33 7 forecasting forecasting NOUN iajs-3060 33 8 were be AUX iajs-3060 33 9 the the DET iajs-3060 33 10 most most ADV iajs-3060 33 11 accurate accurate ADJ iajs-3060 33 12 of of ADP iajs-3060 33 13 all all PRON iajs-3060 33 14 of of ADP iajs-3060 33 15 these these DET iajs-3060 33 16 methods method NOUN iajs-3060 33 17 . . PUNCT iajs-3060 34 1 in in ADP iajs-3060 34 2 ( ( PUNCT iajs-3060 34 3 2015 2015 NUM iajs-3060 34 4 ) ) PUNCT iajs-3060 34 5 kumar kumar PROPN iajs-3060 34 6 et et PROPN iajs-3060 34 7 al al PROPN iajs-3060 34 8 . . PUNCT iajs-3060 35 1 [ [ X iajs-3060 35 2 11 11 NUM iajs-3060 35 3 ] ] PUNCT iajs-3060 35 4 proposed propose VERB iajs-3060 35 5 a a DET iajs-3060 35 6 new new ADJ iajs-3060 35 7 technique technique NOUN iajs-3060 35 8 for for ADP iajs-3060 35 9 forecasting forecasting NOUN iajs-3060 35 10 time time NOUN iajs-3060 35 11 series series PROPN iajs-3060 35 12 data datum NOUN iajs-3060 35 13 based base VERB iajs-3060 35 14 on on ADP iajs-3060 35 15 arima arima PROPN iajs-3060 35 16 model model NOUN iajs-3060 35 17 and and CCONJ iajs-3060 35 18 wavelet wavelet NOUN iajs-3060 35 19 transform transform NOUN iajs-3060 35 20 . . PUNCT iajs-3060 36 1 as as ADP iajs-3060 36 2 a a DET iajs-3060 36 3 result result NOUN iajs-3060 36 4 , , PUNCT iajs-3060 36 5 the the DET iajs-3060 36 6 results result NOUN iajs-3060 36 7 demonstrated demonstrate VERB iajs-3060 36 8 that that SCONJ iajs-3060 36 9 combining combine VERB iajs-3060 36 10 arima arima PROPN iajs-3060 36 11 with with ADP iajs-3060 36 12 wavelet wavelet NOUN iajs-3060 36 13 is be AUX iajs-3060 36 14 effective effective ADJ iajs-3060 36 15 and and CCONJ iajs-3060 36 16 efficient efficient ADJ iajs-3060 36 17 . . PUNCT iajs-3060 37 1 in in ADP iajs-3060 37 2 ( ( PUNCT iajs-3060 37 3 2015 2015 NUM iajs-3060 37 4 ) ) PUNCT iajs-3060 37 5 ji ji PROPN iajs-3060 37 6 , , PUNCT iajs-3060 37 7 cai cai X iajs-3060 37 8 , , PUNCT iajs-3060 37 9 and and CCONJ iajs-3060 37 10 zhang zhang PROPN iajs-3060 38 1 [ [ X iajs-3060 38 2 12 12 NUM iajs-3060 38 3 ] ] PUNCT iajs-3060 38 4 identified identify VERB iajs-3060 38 5 a a DET iajs-3060 38 6 wavelet wavelet NOUN iajs-3060 38 7 transform transform NOUN iajs-3060 38 8 in in ADP iajs-3060 38 9 combination combination NOUN iajs-3060 38 10 with with ADP iajs-3060 38 11 a a DET iajs-3060 38 12 neuron neuron NOUN iajs-3060 38 13 fuzzy fuzzy ADJ iajs-3060 38 14 network network NOUN iajs-3060 38 15 to to PART iajs-3060 38 16 prediction prediction VERB iajs-3060 38 17 the the DET iajs-3060 38 18 wind wind NOUN iajs-3060 38 19 power power NOUN iajs-3060 38 20 interval interval NOUN iajs-3060 38 21 . . PUNCT iajs-3060 39 1 the the DET iajs-3060 39 2 efficacy efficacy NOUN iajs-3060 39 3 of of ADP iajs-3060 39 4 the the DET iajs-3060 39 5 neuron neuron NOUN iajs-3060 39 6 fuzzy fuzzy ADJ iajs-3060 39 7 network network NOUN iajs-3060 39 8 structure structure NOUN iajs-3060 39 9 is be AUX iajs-3060 39 10 demonstrated demonstrate VERB iajs-3060 39 11 by by ADP iajs-3060 39 12 the the DET iajs-3060 39 13 creation creation NOUN iajs-3060 39 14 of of ADP iajs-3060 39 15 prediction prediction NOUN iajs-3060 39 16 intervals interval NOUN iajs-3060 39 17 based base VERB iajs-3060 39 18 on on ADP iajs-3060 39 19 wind wind NOUN iajs-3060 39 20 power power NOUN iajs-3060 39 21 data datum NOUN iajs-3060 39 22 . . PUNCT iajs-3060 40 1 in in ADP iajs-3060 40 2 ( ( PUNCT iajs-3060 40 3 2016 2016 NUM iajs-3060 40 4 ) ) PUNCT iajs-3060 40 5 lamben lamben NOUN iajs-3060 40 6 et et NOUN iajs-3060 40 7 al al PROPN iajs-3060 40 8 . . PUNCT iajs-3060 41 1 [ [ X iajs-3060 41 2 13 13 NUM iajs-3060 41 3 ] ] PUNCT iajs-3060 41 4 proposed propose VERB iajs-3060 41 5 a a DET iajs-3060 41 6 new new ADJ iajs-3060 41 7 wavelet wavelet NOUN iajs-3060 41 8 function function NOUN iajs-3060 41 9 named name VERB iajs-3060 41 10 golden golden ADJ iajs-3060 41 11 wavelet wavelet NOUN iajs-3060 41 12 generated generate VERB iajs-3060 41 13 by by ADP iajs-3060 41 14 fourth fourth ADJ iajs-3060 41 15 derivation derivation NOUN iajs-3060 41 16 of of ADP iajs-3060 41 17 a a DET iajs-3060 41 18 quotient quotient NOUN iajs-3060 41 19 from from ADP iajs-3060 41 20 two two NUM iajs-3060 41 21 different different ADJ iajs-3060 41 22 fibonacci fibonacci NOUN iajs-3060 41 23 coefficient coefficient NOUN iajs-3060 41 24 polynomials polynomial VERB iajs-3060 41 25 distinct distinct ADJ iajs-3060 41 26 . . PUNCT iajs-3060 42 1 the the DET iajs-3060 42 2 golden golden ADJ iajs-3060 42 3 wavelet wavelet NOUN iajs-3060 42 4 was be AUX iajs-3060 42 5 applied apply VERB iajs-3060 42 6 the the DET iajs-3060 42 7 cardiac cardiac ADJ iajs-3060 42 8 arrhythmia arrhythmia NOUN iajs-3060 42 9 classification classification NOUN iajs-3060 42 10 in in ADP iajs-3060 42 11 ecg ecg PROPN iajs-3060 42 12 signals signal NOUN iajs-3060 42 13 . . PUNCT iajs-3060 43 1 the the DET iajs-3060 43 2 obtained obtain VERB iajs-3060 43 3 results result NOUN iajs-3060 43 4 using use VERB iajs-3060 43 5 the the DET iajs-3060 43 6 golden golden ADJ iajs-3060 43 7 wavelet wavelet NOUN iajs-3060 43 8 are be AUX iajs-3060 43 9 better well ADJ iajs-3060 43 10 than than ADP iajs-3060 43 11 these these PRON iajs-3060 43 12 using use VERB iajs-3060 43 13 other other ADJ iajs-3060 43 14 wavelet wavelet NOUN iajs-3060 43 15 functions function NOUN iajs-3060 43 16 . . PUNCT iajs-3060 44 1 in in ADP iajs-3060 44 2 ( ( PUNCT iajs-3060 44 3 2016 2016 NUM iajs-3060 44 4 ) ) PUNCT iajs-3060 44 5 sang sing VERB iajs-3060 44 6 et et NOUN iajs-3060 44 7 al al PROPN iajs-3060 44 8 . . PUNCT iajs-3060 45 1 [ [ X iajs-3060 45 2 14 14 NUM iajs-3060 45 3 ] ] PUNCT iajs-3060 45 4 discussed discuss VERB iajs-3060 45 5 four four NUM iajs-3060 45 6 main main ADJ iajs-3060 45 7 problems problem NOUN iajs-3060 45 8 in in ADP iajs-3060 45 9 wavelet wavelet NOUN iajs-3060 45 10 transform transform NOUN iajs-3060 45 11 : : PUNCT iajs-3060 45 12 inconsistent inconsistent ADJ iajs-3060 45 13 usage usage NOUN iajs-3060 45 14 of of ADP iajs-3060 45 15 continuous continuous ADJ iajs-3060 45 16 and and CCONJ iajs-3060 45 17 discrete discrete ADJ iajs-3060 45 18 wavelet wavelet NOUN iajs-3060 45 19 techniques technique NOUN iajs-3060 45 20 , , PUNCT iajs-3060 45 21 mother mother NOUN iajs-3060 45 22 wavelet wavelet NOUN iajs-3060 45 23 selection selection NOUN iajs-3060 45 24 , , PUNCT iajs-3060 45 25 temporal temporal ADJ iajs-3060 45 26 scale scale NOUN iajs-3060 45 27 selection selection NOUN iajs-3060 45 28 , , PUNCT iajs-3060 45 29 and and CCONJ iajs-3060 45 30 uncertain uncertain ADJ iajs-3060 45 31 evaluation evaluation NOUN iajs-3060 45 32 in in ADP iajs-3060 45 33 wavelet wavelet NOUN iajs-3060 45 34 - - PUNCT iajs-3060 45 35 aided aid VERB iajs-3060 45 36 predicting predicting NOUN iajs-3060 45 37 . . PUNCT iajs-3060 46 1 finally finally ADV iajs-3060 46 2 , , PUNCT iajs-3060 46 3 wavelet wavelet NOUN iajs-3060 46 4 models model NOUN iajs-3060 46 5 have have VERB iajs-3060 46 6 the the DET iajs-3060 46 7 potential potential NOUN iajs-3060 46 8 to to PART iajs-3060 46 9 improve improve VERB iajs-3060 46 10 hydrological hydrological ADJ iajs-3060 46 11 data datum NOUN iajs-3060 46 12 set set VERB iajs-3060 46 13 forecasting forecasting NOUN iajs-3060 46 14 . . PUNCT iajs-3060 47 1 in in ADP iajs-3060 47 2 ( ( PUNCT iajs-3060 47 3 2017 2017 NUM iajs-3060 47 4 ) ) PUNCT iajs-3060 47 5 saini saini PROPN iajs-3060 47 6 and and CCONJ iajs-3060 47 7 ahja ahja PROPN iajs-3060 47 8 [ [ X iajs-3060 47 9 15 15 NUM iajs-3060 47 10 ] ] X iajs-3060 47 11 used use VERB iajs-3060 47 12 propagation propagation NOUN iajs-3060 47 13 trained train VERB iajs-3060 47 14 artificial artificial ADJ iajs-3060 47 15 neural neural ADJ iajs-3060 47 16 network network NOUN iajs-3060 47 17 and and CCONJ iajs-3060 47 18 wavelet wavelet NOUN iajs-3060 47 19 transform transform NOUN iajs-3060 47 20 to to PART iajs-3060 47 21 predict predict VERB iajs-3060 47 22 wind wind NOUN iajs-3060 47 23 speed speed NOUN iajs-3060 47 24 . . PUNCT iajs-3060 48 1 the the DET iajs-3060 48 2 results result NOUN iajs-3060 48 3 of of ADP iajs-3060 48 4 this this DET iajs-3060 48 5 study study NOUN iajs-3060 48 6 show show VERB iajs-3060 48 7 the the DET iajs-3060 48 8 low low ADJ iajs-3060 48 9 value value NOUN iajs-3060 48 10 of of ADP iajs-3060 48 11 root root NOUN iajs-3060 48 12 mean mean NOUN iajs-3060 48 13 square square NOUN iajs-3060 48 14 of of ADP iajs-3060 48 15 error error NOUN iajs-3060 48 16 and and CCONJ iajs-3060 48 17 mean mean VERB iajs-3060 48 18 absolute absolute ADJ iajs-3060 48 19 of of ADP iajs-3060 48 20 error error NOUN iajs-3060 48 21 , , PUNCT iajs-3060 48 22 suggest suggest VERB iajs-3060 48 23 that that SCONJ iajs-3060 48 24 the the DET iajs-3060 48 25 proposed propose VERB iajs-3060 48 26 scheme scheme NOUN iajs-3060 48 27 can can AUX iajs-3060 48 28 be be AUX iajs-3060 48 29 used use VERB iajs-3060 48 30 effectively effectively ADV iajs-3060 48 31 to to PART iajs-3060 48 32 predict predict VERB iajs-3060 48 33 wind wind NOUN iajs-3060 48 34 speed speed NOUN iajs-3060 48 35 for for ADP iajs-3060 48 36 a a DET iajs-3060 48 37 short short ADJ iajs-3060 48 38 period period NOUN iajs-3060 48 39 , , PUNCT iajs-3060 48 40 i.e. i.e. X iajs-3060 48 41 one one NUM iajs-3060 48 42 hour hour NOUN iajs-3060 48 43 ahead ahead ADV iajs-3060 48 44 of of ADP iajs-3060 48 45 the the DET iajs-3060 48 46 forecast forecast NOUN iajs-3060 48 47 . . PUNCT iajs-3060 49 1 in in ADP iajs-3060 49 2 ( ( PUNCT iajs-3060 49 3 2018 2018 NUM iajs-3060 49 4 ) ) PUNCT iajs-3060 49 5 , , PUNCT iajs-3060 49 6 bunrit bunrit NOUN iajs-3060 49 7 et et PROPN iajs-3060 49 8 al al PROPN iajs-3060 49 9 . . PUNCT iajs-3060 50 1 [ [ X iajs-3060 50 2 16 16 NUM iajs-3060 50 3 ] ] X iajs-3060 50 4 we we PRON iajs-3060 50 5 applied apply VERB iajs-3060 50 6 multiresolution multiresolution NOUN iajs-3060 50 7 analysis analysis NOUN iajs-3060 50 8 of of ADP iajs-3060 50 9 wavelet wavelet NOUN iajs-3060 50 10 transform transform NOUN iajs-3060 50 11 for for ADP iajs-3060 50 12 commodities commodity NOUN iajs-3060 50 13 prices price NOUN iajs-3060 50 14 time time NOUN iajs-3060 50 15 series series PROPN iajs-3060 50 16 forecasting forecasting PROPN iajs-3060 50 17 . . PUNCT iajs-3060 51 1 the the DET iajs-3060 51 2 variances variance NOUN iajs-3060 51 3 of of ADP iajs-3060 51 4 errors error NOUN iajs-3060 51 5 from from ADP iajs-3060 51 6 the the DET iajs-3060 51 7 proposed propose VERB iajs-3060 51 8 method method NOUN iajs-3060 51 9 of of ADP iajs-3060 51 10 data datum NOUN iajs-3060 51 11 sets set NOUN iajs-3060 51 12 are be AUX iajs-3060 51 13 much much ADV iajs-3060 51 14 less less ADJ iajs-3060 51 15 than than ADP iajs-3060 51 16 the the DET iajs-3060 51 17 direct direct ADJ iajs-3060 51 18 use use NOUN iajs-3060 51 19 of of ADP iajs-3060 51 20 the the DET iajs-3060 51 21 actual actual ADJ iajs-3060 51 22 series series NOUN iajs-3060 51 23 data datum NOUN iajs-3060 51 24 for for ADP iajs-3060 51 25 forecasting forecasting NOUN iajs-3060 51 26 . . PUNCT iajs-3060 52 1 gossler gossler NOUN iajs-3060 52 2 et et PROPN iajs-3060 52 3 al al PROPN iajs-3060 52 4 . . PROPN iajs-3060 53 1 ( ( PUNCT iajs-3060 53 2 2018 2018 NUM iajs-3060 53 3 ) ) PUNCT iajs-3060 54 1 [ [ X iajs-3060 54 2 17 17 NUM iajs-3060 54 3 ] ] PUNCT iajs-3060 54 4 published publish VERB iajs-3060 54 5 a a DET iajs-3060 54 6 comparison comparison NOUN iajs-3060 54 7 of of ADP iajs-3060 54 8 golden golden ADJ iajs-3060 54 9 and and CCONJ iajs-3060 54 10 mexican mexican ADJ iajs-3060 54 11 hat hat NOUN iajs-3060 54 12 wavelets wavelet NOUN iajs-3060 54 13 , , PUNCT iajs-3060 54 14 finding find VERB iajs-3060 54 15 that that SCONJ iajs-3060 54 16 golden golden ADJ iajs-3060 54 17 hat hat NOUN iajs-3060 54 18 wavelets wavelet NOUN iajs-3060 54 19 have have AUX iajs-3060 54 20 double double DET iajs-3060 54 21 that that PRON iajs-3060 54 22 much much ADJ iajs-3060 54 23 vanishing vanishing ADJ iajs-3060 54 24 moment moment NOUN iajs-3060 54 25 than than ADP iajs-3060 54 26 mexican mexican ADJ iajs-3060 54 27 hat hat NOUN iajs-3060 54 28 wavelets wavelet NOUN iajs-3060 54 29 . . PUNCT iajs-3060 55 1 in in ADP iajs-3060 55 2 ( ( PUNCT iajs-3060 55 3 2021 2021 NUM iajs-3060 55 4 ) ) PUNCT iajs-3060 55 5 gossler gossler NOUN iajs-3060 55 6 et et NOUN iajs-3060 55 7 al al PROPN iajs-3060 55 8 . . PUNCT iajs-3060 56 1 [ [ X iajs-3060 56 2 18 18 NUM iajs-3060 56 3 ] ] PUNCT iajs-3060 56 4 comparison comparison NOUN iajs-3060 56 5 of of ADP iajs-3060 56 6 gaussian gaussian ADJ iajs-3060 56 7 and and CCONJ iajs-3060 56 8 golden golden ADJ iajs-3060 56 9 wavelets wavelet NOUN iajs-3060 56 10 were be AUX iajs-3060 56 11 performed perform VERB iajs-3060 56 12 . . PUNCT iajs-3060 57 1 the the DET iajs-3060 57 2 derivative derivative NOUN iajs-3060 57 3 of of ADP iajs-3060 57 4 specified specified ADJ iajs-3060 57 5 basis basis NOUN iajs-3060 57 6 functions function NOUN iajs-3060 57 7 generates generate VERB iajs-3060 57 8 these these DET iajs-3060 57 9 wavelets wavelet NOUN iajs-3060 57 10 . . PUNCT iajs-3060 58 1 the the DET iajs-3060 58 2 aims aim NOUN iajs-3060 58 3 of of ADP iajs-3060 58 4 this this DET iajs-3060 58 5 study study NOUN iajs-3060 58 6 are be AUX iajs-3060 58 7 to to PART iajs-3060 58 8 propose propose VERB iajs-3060 58 9 a a DET iajs-3060 58 10 wavelet wavelet NOUN iajs-3060 58 11 function function NOUN iajs-3060 58 12 by by ADP iajs-3060 58 13 sixth sixth ADJ iajs-3060 58 14 derivation derivation NOUN iajs-3060 58 15 of of ADP iajs-3060 58 16 a a DET iajs-3060 58 17 quotient quotient NOUN iajs-3060 58 18 from from ADP iajs-3060 58 19 two two NUM iajs-3060 58 20 different different ADJ iajs-3060 58 21 fibonacci fibonacci NOUN iajs-3060 58 22 coefficient coefficient NOUN iajs-3060 58 23 polynomials polynomial NOUN iajs-3060 58 24 , , PUNCT iajs-3060 58 25 as as ADV iajs-3060 58 26 well well ADV iajs-3060 58 27 as as ADP iajs-3060 58 28 to to PART iajs-3060 58 29 compare compare VERB iajs-3060 58 30 arima arima NOUN iajs-3060 58 31 and and CCONJ iajs-3060 58 32 waveletarima waveletarima NOUN iajs-3060 58 33 to to PART iajs-3060 58 34 determine determine VERB iajs-3060 58 35 the the DET iajs-3060 58 36 best well ADV iajs-3060 58 37 - - PUNCT iajs-3060 58 38 fitted fit VERB iajs-3060 58 39 model model NOUN iajs-3060 58 40 . . PUNCT iajs-3060 59 1 in in ADP iajs-3060 59 2 this this DET iajs-3060 59 3 study study NOUN iajs-3060 59 4 , , PUNCT iajs-3060 59 5 introduction introduction NOUN iajs-3060 59 6 , , PUNCT iajs-3060 59 7 autoregressive autoregressive ADJ iajs-3060 59 8 integrated integrated ADJ iajs-3060 59 9 moving move VERB iajs-3060 59 10 average average ADJ iajs-3060 59 11 model model NOUN iajs-3060 59 12 , , PUNCT iajs-3060 59 13 wavelet wavelet NOUN iajs-3060 59 14 transform transform NOUN iajs-3060 59 15 and and CCONJ iajs-3060 59 16 some some PRON iajs-3060 59 17 of of ADP iajs-3060 59 18 mother mother NOUN iajs-3060 59 19 wavelets wavelet NOUN iajs-3060 59 20 are be AUX iajs-3060 59 21 introduced introduce VERB iajs-3060 59 22 . . PUNCT iajs-3060 60 1 next next ADV iajs-3060 60 2 , , PUNCT iajs-3060 60 3 the the DET iajs-3060 60 4 proposed propose VERB iajs-3060 60 5 wavelet wavelet NOUN iajs-3060 60 6 is be AUX iajs-3060 60 7 introduced introduce VERB iajs-3060 60 8 and and CCONJ iajs-3060 60 9 then then ADV iajs-3060 60 10 the the DET iajs-3060 60 11 results result NOUN iajs-3060 60 12 of of ADP iajs-3060 60 13 these these DET iajs-3060 60 14 models model NOUN iajs-3060 60 15 are be AUX iajs-3060 60 16 compared compare VERB iajs-3060 60 17 . . PUNCT iajs-3060 61 1 finally finally ADV iajs-3060 61 2 , , PUNCT iajs-3060 61 3 conclusions conclusion NOUN iajs-3060 61 4 are be AUX iajs-3060 61 5 given give VERB iajs-3060 61 6 . . PUNCT iajs-3060 62 1 ihjpas ihjpas PROPN iajs-3060 62 2 . . PUNCT iajs-3060 63 1 36(2)2023 36(2)2023 NUM iajs-3060 63 2 422 422 NUM iajs-3060 63 3 2 2 NUM iajs-3060 63 4 . . PUNCT iajs-3060 63 5 methodology methodology NOUN iajs-3060 63 6 2.1 2.1 NUM iajs-3060 63 7 autoregressive autoregressive ADJ iajs-3060 63 8 integrated integrated ADJ iajs-3060 63 9 moving move VERB iajs-3060 63 10 average average ADJ iajs-3060 63 11 model model NOUN iajs-3060 63 12 ( ( PUNCT iajs-3060 63 13 arima arima PROPN iajs-3060 63 14 ) ) PUNCT iajs-3060 63 15 the the DET iajs-3060 63 16 ( ( PUNCT iajs-3060 63 17 arima arima NOUN iajs-3060 63 18 ) ) PUNCT iajs-3060 63 19 is be AUX iajs-3060 63 20 an an DET iajs-3060 63 21 appropriate appropriate ADJ iajs-3060 63 22 model model NOUN iajs-3060 63 23 for for ADP iajs-3060 63 24 the the DET iajs-3060 63 25 stationary stationary ADJ iajs-3060 63 26 time time NOUN iajs-3060 63 27 - - PUNCT iajs-3060 63 28 series series NOUN iajs-3060 63 29 data datum NOUN iajs-3060 63 30 . . PUNCT iajs-3060 64 1 it it PRON iajs-3060 64 2 is be AUX iajs-3060 64 3 denoted denote VERB iajs-3060 64 4 by by ADP iajs-3060 64 5 𝐴𝑅𝐼𝑀𝐴(𝑝 𝐴𝑅𝐼𝑀𝐴(𝑝 NOUN iajs-3060 64 6 , , PUNCT iajs-3060 64 7 𝑑 𝑑 PROPN iajs-3060 64 8 , , PUNCT iajs-3060 64 9 π‘ž π‘ž NOUN iajs-3060 64 10 ) ) PUNCT iajs-3060 64 11 , , PUNCT iajs-3060 64 12 𝑝 𝑝 PROPN iajs-3060 64 13 is be AUX iajs-3060 64 14 the the DET iajs-3060 64 15 autoregressive autoregressive ADJ iajs-3060 64 16 order order NOUN iajs-3060 64 17 , , PUNCT iajs-3060 64 18 π‘ž π‘ž X iajs-3060 64 19 is be AUX iajs-3060 64 20 the the DET iajs-3060 64 21 moving move VERB iajs-3060 64 22 average average ADJ iajs-3060 64 23 order order NOUN iajs-3060 64 24 , , PUNCT iajs-3060 64 25 and and CCONJ iajs-3060 64 26 𝑑 𝑑 NOUN iajs-3060 64 27 is be AUX iajs-3060 64 28 the the DET iajs-3060 64 29 differencing difference VERB iajs-3060 64 30 order order NOUN iajs-3060 64 31 . . PUNCT iajs-3060 65 1 box box PROPN iajs-3060 65 2 and and CCONJ iajs-3060 65 3 jenkins jenkins PROPN iajs-3060 65 4 generalized generalize VERB iajs-3060 65 5 this this DET iajs-3060 65 6 model model NOUN iajs-3060 65 7 in in ADP iajs-3060 65 8 1970 1970 NUM iajs-3060 65 9 [ [ X iajs-3060 65 10 19 19 NUM iajs-3060 65 11 ] ] PUNCT iajs-3060 65 12 . . PUNCT iajs-3060 66 1 the the DET iajs-3060 66 2 general general ADJ iajs-3060 66 3 mathematical mathematical ADJ iajs-3060 66 4 arima arima PROPN iajs-3060 66 5 model model NOUN iajs-3060 66 6 for for ADP iajs-3060 66 7 non non ADJ iajs-3060 66 8 - - ADJ iajs-3060 66 9 stationary stationary ADJ iajs-3060 66 10 time time NOUN iajs-3060 66 11 series series NOUN iajs-3060 66 12 can can AUX iajs-3060 66 13 be be AUX iajs-3060 66 14 defined define VERB iajs-3060 66 15 as as ADP iajs-3060 66 16 [ [ X iajs-3060 66 17 4 4 NUM iajs-3060 66 18 ] ] PUNCT iajs-3060 66 19 : : PUNCT iajs-3060 66 20 πœ™(𝐡)(1 πœ™(𝐡)(1 ADP iajs-3060 66 21 βˆ’ βˆ’ PROPN iajs-3060 66 22 𝐡)𝑑π‘₯𝑑 𝐡)𝑑π‘₯𝑑 SYM iajs-3060 66 23 = = SYM iajs-3060 66 24 πœ‡ πœ‡ ADP iajs-3060 66 25 + + CCONJ iajs-3060 66 26 πœƒ(𝐡)π‘Žπ‘‘ πœƒ(𝐡)π‘Žπ‘‘ PROPN iajs-3060 66 27 ( ( PUNCT iajs-3060 66 28 1 1 NUM iajs-3060 66 29 ) ) PUNCT iajs-3060 66 30 where where SCONJ iajs-3060 66 31 : : PUNCT iajs-3060 66 32 𝑑 𝑑 NUM iajs-3060 66 33 : : PUNCT iajs-3060 66 34 indexes index NOUN iajs-3060 66 35 time time NOUN iajs-3060 66 36 . . PUNCT iajs-3060 67 1 b b X iajs-3060 67 2 : : PUNCT iajs-3060 67 3 the the DET iajs-3060 67 4 backshift backshift NOUN iajs-3060 67 5 operator operator NOUN iajs-3060 67 6 . . PUNCT iajs-3060 68 1 πœ™(𝐡 πœ™(𝐡 VERB iajs-3060 68 2 ) ) PUNCT iajs-3060 69 1 = = SYM iajs-3060 69 2 1 1 NUM iajs-3060 69 3 βˆ’ βˆ’ NOUN iajs-3060 69 4 πœ™1𝐡 πœ™1𝐡 NOUN iajs-3060 69 5 βˆ’ βˆ’ PROPN iajs-3060 69 6 πœ™2𝐡2 πœ™2𝐡2 NUM iajs-3060 69 7 … … PUNCT iajs-3060 69 8 . . PUNCT iajs-3060 70 1 βˆ’πœ™π‘π΅π‘ βˆ’πœ™π‘π΅π‘ NOUN iajs-3060 70 2 is be AUX iajs-3060 70 3 the the DET iajs-3060 70 4 p p ADJ iajs-3060 70 5 - - PUNCT iajs-3060 70 6 order order NOUN iajs-3060 70 7 autoregressive autoregressive ADJ iajs-3060 70 8 operator operator NOUN iajs-3060 70 9 . . PUNCT iajs-3060 71 1 πœƒ(𝐡 πœƒ(𝐡 NUM iajs-3060 71 2 ) ) PUNCT iajs-3060 71 3 = = SYM iajs-3060 71 4 1 1 NUM iajs-3060 71 5 βˆ’ βˆ’ NOUN iajs-3060 71 6 πœƒ1𝐡 πœƒ1𝐡 X iajs-3060 71 7 βˆ’ βˆ’ PROPN iajs-3060 71 8 πœƒ2𝐡2 πœƒ2𝐡2 NUM iajs-3060 71 9 … … PUNCT iajs-3060 71 10 . . PUNCT iajs-3060 72 1 βˆ’πœƒπ‘žπ΅π‘ž βˆ’πœƒπ‘žπ΅π‘ž NOUN iajs-3060 72 2 is be AUX iajs-3060 72 3 the the DET iajs-3060 72 4 q q ADJ iajs-3060 72 5 - - PUNCT iajs-3060 72 6 order order NOUN iajs-3060 72 7 moving move VERB iajs-3060 72 8 average average ADJ iajs-3060 72 9 operator operator NOUN iajs-3060 72 10 . . PUNCT iajs-3060 73 1 π‘Žπ‘‘ π‘Žπ‘‘ INTJ iajs-3060 73 2 : : PUNCT iajs-3060 73 3 error error NOUN iajs-3060 73 4 term term NOUN iajs-3060 73 5 at at ADP iajs-3060 73 6 time time NOUN iajs-3060 73 7 t. t. PROPN iajs-3060 73 8 π‘Žπ‘‘ π‘Žπ‘‘ PROPN iajs-3060 73 9 = = PUNCT iajs-3060 73 10 𝑁𝐼𝐷(0 𝑁𝐼𝐷(0 NOUN iajs-3060 73 11 , , PUNCT iajs-3060 73 12 πœŽπ‘Ž πœŽπ‘Ž NOUN iajs-3060 73 13 2 2 NUM iajs-3060 73 14 ) ) PUNCT iajs-3060 73 15 ( ( PUNCT iajs-3060 73 16 2 2 X iajs-3060 73 17 ) ) PUNCT iajs-3060 73 18 identification identification NOUN iajs-3060 73 19 , , PUNCT iajs-3060 73 20 parameter parameter NOUN iajs-3060 73 21 estimate estimate NOUN iajs-3060 73 22 , , PUNCT iajs-3060 73 23 diagnostic diagnostic ADJ iajs-3060 73 24 checking checking NOUN iajs-3060 73 25 , , PUNCT iajs-3060 73 26 and and CCONJ iajs-3060 73 27 forecasting forecasting NOUN iajs-3060 73 28 are be AUX iajs-3060 73 29 the the DET iajs-3060 73 30 four four NUM iajs-3060 73 31 stages stage NOUN iajs-3060 73 32 of of ADP iajs-3060 73 33 the the DET iajs-3060 73 34 model model NOUN iajs-3060 73 35 building building NOUN iajs-3060 73 36 process process NOUN iajs-3060 73 37 . . PUNCT iajs-3060 74 1 2.2 2.2 NUM iajs-3060 74 2 wavelet wavelet NOUN iajs-3060 74 3 transform transform VERB iajs-3060 74 4 a a DET iajs-3060 74 5 wave wave NOUN iajs-3060 74 6 is be AUX iajs-3060 74 7 typically typically ADV iajs-3060 74 8 characterized characterize VERB iajs-3060 74 9 as as ADP iajs-3060 74 10 a a DET iajs-3060 74 11 time time NOUN iajs-3060 74 12 - - PUNCT iajs-3060 74 13 varying vary VERB iajs-3060 74 14 oscillating oscillate VERB iajs-3060 74 15 function function NOUN iajs-3060 74 16 , , PUNCT iajs-3060 74 17 such such ADJ iajs-3060 74 18 as as ADP iajs-3060 74 19 a a DET iajs-3060 74 20 sinusoid sinusoid NOUN iajs-3060 74 21 . . PUNCT iajs-3060 75 1 the the DET iajs-3060 75 2 term term NOUN iajs-3060 75 3 wavelet wavelet NOUN iajs-3060 75 4 refers refer VERB iajs-3060 75 5 to to ADP iajs-3060 75 6 a a DET iajs-3060 75 7 small small ADJ iajs-3060 75 8 oscillation oscillation NOUN iajs-3060 75 9 that that PRON iajs-3060 75 10 decays decay VERB iajs-3060 75 11 quickly quickly ADV iajs-3060 75 12 . . PUNCT iajs-3060 76 1 the the DET iajs-3060 76 2 wavelets wavelet NOUN iajs-3060 76 3 transform transform VERB iajs-3060 76 4 is be AUX iajs-3060 76 5 first first ADV iajs-3060 76 6 introduced introduce VERB iajs-3060 76 7 for for ADP iajs-3060 76 8 transient transient ADJ iajs-3060 76 9 continuous continuous ADJ iajs-3060 76 10 signal signal NOUN iajs-3060 76 11 time time NOUN iajs-3060 76 12 frequency frequency NOUN iajs-3060 76 13 domain domain NOUN iajs-3060 76 14 analysis analysis NOUN iajs-3060 76 15 , , PUNCT iajs-3060 76 16 and and CCONJ iajs-3060 76 17 subsequently subsequently ADV iajs-3060 76 18 expanded expand VERB iajs-3060 76 19 to to ADP iajs-3060 76 20 the the DET iajs-3060 76 21 concept concept NOUN iajs-3060 76 22 for for ADP iajs-3060 76 23 multi multi ADJ iajs-3060 76 24 - - ADJ iajs-3060 76 25 resolution resolution ADJ iajs-3060 76 26 wavelet wavelet NOUN iajs-3060 76 27 transform transform NOUN iajs-3060 76 28 utilizing utilize VERB iajs-3060 76 29 filtering filter VERB iajs-3060 76 30 approximations approximation NOUN iajs-3060 77 1 [ [ X iajs-3060 77 2 20 20 NUM iajs-3060 77 3 ] ] PUNCT iajs-3060 77 4 . . PUNCT iajs-3060 78 1 a a DET iajs-3060 78 2 signal signal NOUN iajs-3060 78 3 is be AUX iajs-3060 78 4 represented represent VERB iajs-3060 78 5 by by ADP iajs-3060 78 6 a a DET iajs-3060 78 7 wavelet wavelet NOUN iajs-3060 78 8 transform transform NOUN iajs-3060 78 9 in in ADP iajs-3060 78 10 the the DET iajs-3060 78 11 form form NOUN iajs-3060 78 12 of of ADP iajs-3060 78 13 specific specific ADJ iajs-3060 78 14 short short ADJ iajs-3060 78 15 time time NOUN iajs-3060 78 16 intervals interval NOUN iajs-3060 78 17 [ [ X iajs-3060 78 18 2123 2123 NUM iajs-3060 78 19 ] ] SYM iajs-3060 78 20 : : PUNCT iajs-3060 78 21 πœ“π‘Ž,𝑏(𝑑 πœ“π‘Ž,𝑏(𝑑 NOUN iajs-3060 78 22 ) ) PUNCT iajs-3060 78 23 = = SYM iajs-3060 78 24 1 1 NUM iajs-3060 78 25 √|π‘Ž| √|π‘Ž| PROPN iajs-3060 78 26 πœ“(π‘‘βˆ’π‘ πœ“(π‘‘βˆ’π‘ PROPN iajs-3060 78 27 π‘Ž π‘Ž NOUN iajs-3060 78 28 ) ) PUNCT iajs-3060 78 29 ( ( PUNCT iajs-3060 78 30 3 3 X iajs-3060 78 31 ) ) PUNCT iajs-3060 78 32 where where SCONJ iajs-3060 78 33 : : PUNCT iajs-3060 78 34 πœ“(π‘‘βˆ’π‘ πœ“(π‘‘βˆ’π‘ ADJ iajs-3060 78 35 π‘Ž π‘Ž NOUN iajs-3060 78 36 ) ) PUNCT iajs-3060 78 37 function function NOUN iajs-3060 78 38 parent parent NOUN iajs-3060 78 39 , , PUNCT iajs-3060 78 40 π‘Ž π‘Ž DET iajs-3060 78 41 scale scale NOUN iajs-3060 78 42 factor factor NOUN iajs-3060 78 43 , , PUNCT iajs-3060 78 44 𝑏 𝑏 DET iajs-3060 78 45 time time NOUN iajs-3060 78 46 shift shift NOUN iajs-3060 78 47 . . PUNCT iajs-3060 79 1 continuous continuous ADJ iajs-3060 79 2 and and CCONJ iajs-3060 79 3 discrete discrete ADJ iajs-3060 79 4 wavelet wavelet NOUN iajs-3060 79 5 transforms transform NOUN iajs-3060 79 6 are be AUX iajs-3060 79 7 the the DET iajs-3060 79 8 two two NUM iajs-3060 79 9 types type NOUN iajs-3060 79 10 of of ADP iajs-3060 79 11 wavelet wavelet NOUN iajs-3060 79 12 transforms transform VERB iajs-3060 79 13 : : PUNCT iajs-3060 79 14 continuous continuous ADJ iajs-3060 79 15 wavelet wavelet NOUN iajs-3060 79 16 transform transform NOUN iajs-3060 79 17 is be AUX iajs-3060 79 18 defined define VERB iajs-3060 79 19 as as SCONJ iajs-3060 79 20 follows follow VERB iajs-3060 79 21 : : PUNCT iajs-3060 79 22 π‘Šπ‘Ž,𝑏(𝑑 π‘Šπ‘Ž,𝑏(𝑑 NOUN iajs-3060 79 23 ) ) PUNCT iajs-3060 79 24 = = SYM iajs-3060 79 25 1 1 NUM iajs-3060 79 26 √|π‘Ž| √|π‘Ž| PROPN iajs-3060 79 27 ∫ ∫ NOUN iajs-3060 79 28 π‘₯(𝑑)πœ“(π‘‘βˆ’π‘ π‘₯(𝑑)πœ“(π‘‘βˆ’π‘ NOUN iajs-3060 79 29 π‘Ž π‘Ž NOUN iajs-3060 79 30 ) ) PUNCT iajs-3060 79 31 𝑑𝑑 𝑑𝑑 ADP iajs-3060 79 32 ∞ ∞ PROPN iajs-3060 79 33 βˆ’βˆž βˆ’βˆž X iajs-3060 79 34 ( ( PUNCT iajs-3060 79 35 4 4 X iajs-3060 79 36 ) ) PUNCT iajs-3060 79 37 the the DET iajs-3060 79 38 transmitted transmit VERB iajs-3060 79 39 signal signal NOUN iajs-3060 79 40 evaluated evaluate VERB iajs-3060 79 41 by by ADP iajs-3060 79 42 the the DET iajs-3060 79 43 signal signal ADJ iajs-3060 79 44 analysis analysis NOUN iajs-3060 79 45 that that PRON iajs-3060 79 46 is be AUX iajs-3060 79 47 scaled scale VERB iajs-3060 79 48 in in ADP iajs-3060 79 49 the the DET iajs-3060 79 50 time time NOUN iajs-3060 79 51 domain domain NOUN iajs-3060 79 52 coefficients coefficient NOUN iajs-3060 79 53 . . PUNCT iajs-3060 80 1 this this DET iajs-3060 80 2 signal signal NOUN iajs-3060 80 3 is be AUX iajs-3060 80 4 " " PUNCT iajs-3060 80 5 compressed compress VERB iajs-3060 80 6 " " PUNCT iajs-3060 80 7 for for ADP iajs-3060 80 8 ( ( PUNCT iajs-3060 80 9 π‘Ž π‘Ž X iajs-3060 80 10 < < X iajs-3060 80 11 1 1 NUM iajs-3060 80 12 ) ) PUNCT iajs-3060 80 13 and and CCONJ iajs-3060 80 14 " " PUNCT iajs-3060 80 15 stretched stretch VERB iajs-3060 80 16 " " PUNCT iajs-3060 80 17 for for ADP iajs-3060 80 18 ( ( PUNCT iajs-3060 80 19 π‘Ž π‘Ž NOUN iajs-3060 80 20 > > X iajs-3060 80 21 1 1 NUM iajs-3060 80 22 ) ) PUNCT iajs-3060 80 23 . . PUNCT iajs-3060 81 1 discrete discrete ADJ iajs-3060 81 2 wavelet wavelet NOUN iajs-3060 81 3 transforms transform VERB iajs-3060 81 4 is be AUX iajs-3060 81 5 defined define VERB iajs-3060 81 6 as as SCONJ iajs-3060 81 7 follows follow VERB iajs-3060 81 8 [ [ X iajs-3060 81 9 16 16 NUM iajs-3060 81 10 ] ] SYM iajs-3060 81 11 π‘Šπ‘Ž,𝑏(𝑑 π‘Šπ‘Ž,𝑏(𝑑 NOUN iajs-3060 81 12 ) ) PUNCT iajs-3060 81 13 = = SYM iajs-3060 82 1 1 1 NUM iajs-3060 82 2 √|π‘Ž| √|π‘Ž| PROPN iajs-3060 82 3 βˆ‘ βˆ‘ PUNCT iajs-3060 82 4 πœ“(π‘‘βˆ’π‘ πœ“(π‘‘βˆ’π‘ PROPN iajs-3060 82 5 π‘Ž π‘Ž NOUN iajs-3060 82 6 ) ) PUNCT iajs-3060 82 7 π‘₯(𝑑)𝑁 π‘₯(𝑑)𝑁 PROPN iajs-3060 82 8 π‘˜=1 π‘˜=1 PROPN iajs-3060 82 9 ( ( PUNCT iajs-3060 82 10 5 5 NUM iajs-3060 82 11 ) ) PUNCT iajs-3060 82 12 where where SCONJ iajs-3060 82 13 , , PUNCT iajs-3060 82 14 𝑁 𝑁 PROPN iajs-3060 82 15 is be AUX iajs-3060 82 16 normalization normalization NOUN iajs-3060 82 17 constant constant ADJ iajs-3060 82 18 . . PUNCT iajs-3060 83 1 the the DET iajs-3060 83 2 wavelet wavelet NOUN iajs-3060 83 3 transform transform NOUN iajs-3060 83 4 is be AUX iajs-3060 83 5 based base VERB iajs-3060 83 6 on on ADP iajs-3060 83 7 the the DET iajs-3060 83 8 πœ“ πœ“ PROPN iajs-3060 83 9 ∈ ∈ PROPN iajs-3060 83 10 𝐿2(𝑅 𝐿2(𝑅 PROPN iajs-3060 83 11 ) ) PUNCT iajs-3060 83 12 function function NOUN iajs-3060 83 13 , , PUNCT iajs-3060 83 14 often often ADV iajs-3060 83 15 known know VERB iajs-3060 83 16 as as ADP iajs-3060 83 17 the the DET iajs-3060 83 18 mother mother NOUN iajs-3060 83 19 wavelet wavelet NOUN iajs-3060 83 20 or or CCONJ iajs-3060 83 21 wavelet wavelet NOUN iajs-3060 83 22 . . PUNCT iajs-3060 84 1 the the DET iajs-3060 84 2 following follow VERB iajs-3060 84 3 conditions condition NOUN iajs-3060 84 4 are be AUX iajs-3060 84 5 met meet VERB iajs-3060 84 6 by by ADP iajs-3060 84 7 this this DET iajs-3060 84 8 function function NOUN iajs-3060 84 9 [ [ X iajs-3060 84 10 1 1 NUM iajs-3060 84 11 , , PUNCT iajs-3060 84 12 5 5 NUM iajs-3060 84 13 , , PUNCT iajs-3060 84 14 11 11 NUM iajs-3060 84 15 ] ] NUM iajs-3060 84 16 : : PUNCT iajs-3060 84 17 i. i. NOUN iajs-3060 84 18 πΆπœ“ πΆπœ“ NOUN iajs-3060 84 19 = = PUNCT iajs-3060 84 20 ∫ ∫ PROPN iajs-3060 84 21 | | NOUN iajs-3060 84 22 οΏ½ οΏ½ PROPN iajs-3060 84 23 Μ‚ Μ‚ NOUN iajs-3060 84 24 οΏ½ οΏ½ NOUN iajs-3060 84 25 (πœ”)| (πœ”)| PUNCT iajs-3060 84 26 2 2 NUM iajs-3060 84 27 |πœ”| |πœ”| NOUN iajs-3060 84 28 ∞ ∞ NUM iajs-3060 84 29 0 0 NUM iajs-3060 85 1 π‘‘πœ” π‘‘πœ” ADP iajs-3060 85 2 < < X iajs-3060 85 3 ∞ ∞ PROPN iajs-3060 85 4 ( ( PUNCT iajs-3060 85 5 6 6 NUM iajs-3060 85 6 ) ) PUNCT iajs-3060 85 7 where where SCONJ iajs-3060 85 8 , , PUNCT iajs-3060 85 9 οΏ½ οΏ½ PROPN iajs-3060 85 10 Μ‚ Μ‚ SYM iajs-3060 85 11 οΏ½ οΏ½ PROPN iajs-3060 85 12 ( ( PUNCT iajs-3060 85 13 πœ” πœ” NUM iajs-3060 85 14 ) ) PUNCT iajs-3060 85 15 is be AUX iajs-3060 85 16 the the DET iajs-3060 85 17 fourier fourier ADJ iajs-3060 85 18 transform transform NOUN iajs-3060 85 19 of of ADP iajs-3060 85 20 πœ“(𝑑 πœ“(𝑑 NOUN iajs-3060 85 21 ) ) PUNCT iajs-3060 85 22 . . PUNCT iajs-3060 86 1 the the DET iajs-3060 86 2 admissibility admissibility NOUN iajs-3060 86 3 condition condition NOUN iajs-3060 86 4 assures assure VERB iajs-3060 86 5 that that SCONJ iajs-3060 86 6 οΏ½ οΏ½ PROPN iajs-3060 86 7 Μ‚ Μ‚ SYM iajs-3060 86 8 οΏ½ οΏ½ PROPN iajs-3060 86 9 ( ( PUNCT iajs-3060 86 10 πœ” πœ” NOUN iajs-3060 86 11 ) ) PUNCT iajs-3060 86 12 decrease decrease NOUN iajs-3060 86 13 to to ADP iajs-3060 86 14 zero zero NUM iajs-3060 86 15 quickly quickly ADV iajs-3060 86 16 as as ADP iajs-3060 86 17 ( ( PUNCT iajs-3060 86 18 πœ” πœ” X iajs-3060 86 19 β†’ β†’ SYM iajs-3060 86 20 0 0 NUM iajs-3060 86 21 ) ) PUNCT iajs-3060 86 22 . . PUNCT iajs-3060 87 1 it it PRON iajs-3060 87 2 is be AUX iajs-3060 87 3 necessary necessary ADJ iajs-3060 87 4 οΏ½ οΏ½ PROPN iajs-3060 87 5 Μ‚ Μ‚ SYM iajs-3060 87 6 οΏ½ οΏ½ PROPN iajs-3060 87 7 ( ( PUNCT iajs-3060 87 8 0 0 NUM iajs-3060 87 9 ) ) PUNCT iajs-3060 87 10 = = SYM iajs-3060 87 11 0 0 PUNCT iajs-3060 87 12 to to PART iajs-3060 87 13 verify verify VERB iajs-3060 87 14 that that SCONJ iajs-3060 88 1 πΆπœ“ πΆπœ“ ADP iajs-3060 88 2 < < X iajs-3060 88 3 ∞ ∞ NUM iajs-3060 88 4 . . PUNCT iajs-3060 89 1 ihjpas ihjpas PROPN iajs-3060 89 2 . . PUNCT iajs-3060 90 1 36(2)2023 36(2)2023 NUM iajs-3060 90 2 423 423 NUM iajs-3060 90 3 ∫ ∫ NUM iajs-3060 90 4 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 90 5 ) ) PUNCT iajs-3060 90 6 ∞ ∞ PROPN iajs-3060 90 7 βˆ’βˆž βˆ’βˆž X iajs-3060 90 8 𝑑𝑑 𝑑𝑑 ADP iajs-3060 90 9 = = SYM iajs-3060 90 10 0 0 PROPN iajs-3060 90 11 ( ( PUNCT iajs-3060 90 12 7 7 NUM iajs-3060 90 13 ) ) PUNCT iajs-3060 90 14 ii ii PROPN iajs-3060 90 15 . . PUNCT iajs-3060 91 1 wavelet wavelet NOUN iajs-3060 91 2 function function PROPN iajs-3060 91 3 is be AUX iajs-3060 91 4 that that PRON iajs-3060 91 5 have have VERB iajs-3060 91 6 unit unit NOUN iajs-3060 91 7 energy energy NOUN iajs-3060 91 8 [ [ X iajs-3060 91 9 13 13 NUM iajs-3060 91 10 , , PUNCT iajs-3060 91 11 24 24 NUM iajs-3060 91 12 ] ] PUNCT iajs-3060 91 13 . . PUNCT iajs-3060 92 1 that that PRON iajs-3060 92 2 is be AUX iajs-3060 92 3 ∫ ∫ PROPN iajs-3060 92 4 |πœ“(𝑑)|2∞ |πœ“(𝑑)|2∞ NOUN iajs-3060 92 5 βˆ’βˆž βˆ’βˆž PUNCT iajs-3060 92 6 𝑑𝑑 𝑑𝑑 ADP iajs-3060 92 7 < < X iajs-3060 92 8 ∞ ∞ PROPN iajs-3060 92 9 ( ( PUNCT iajs-3060 92 10 8) 8) NUM iajs-3060 92 11 2.3 2.3 NUM iajs-3060 92 12 haar haar NOUN iajs-3060 92 13 wavelet wavelet NOUN iajs-3060 92 14 the the DET iajs-3060 92 15 haar haar PROPN iajs-3060 92 16 wavelet wavelet PROPN iajs-3060 92 17 was be AUX iajs-3060 92 18 the the DET iajs-3060 92 19 first first ADJ iajs-3060 92 20 mother mother NOUN iajs-3060 92 21 wavelet wavelet NOUN iajs-3060 92 22 introduced introduce VERB iajs-3060 92 23 by by ADP iajs-3060 92 24 hungarian hungarian ADJ iajs-3060 92 25 mathematician mathematician NOUN iajs-3060 92 26 alfred alfred PROPN iajs-3060 92 27 haar haar PROPN iajs-3060 92 28 in in ADP iajs-3060 92 29 1909 1909 NUM iajs-3060 93 1 [ [ X iajs-3060 93 2 3 3 NUM iajs-3060 93 3 , , PUNCT iajs-3060 93 4 9 9 NUM iajs-3060 93 5 , , PUNCT iajs-3060 93 6 25 25 NUM iajs-3060 93 7 ] ] PUNCT iajs-3060 93 8 . . PUNCT iajs-3060 94 1 it it PRON iajs-3060 94 2 is be AUX iajs-3060 94 3 an an DET iajs-3060 94 4 orthogonal orthogonal ADJ iajs-3060 94 5 wavelet wavelet NOUN iajs-3060 94 6 and and CCONJ iajs-3060 94 7 only only ADV iajs-3060 94 8 has have VERB iajs-3060 94 9 one one NUM iajs-3060 94 10 vanishing vanish VERB iajs-3060 94 11 moment moment NOUN iajs-3060 94 12 , , PUNCT iajs-3060 94 13 making make VERB iajs-3060 94 14 it it PRON iajs-3060 94 15 inappropriate inappropriate ADJ iajs-3060 94 16 for for ADP iajs-3060 94 17 smooth smooth ADJ iajs-3060 94 18 function function NOUN iajs-3060 94 19 reconstruction reconstruction NOUN iajs-3060 94 20 . . PUNCT iajs-3060 95 1 the the DET iajs-3060 95 2 haar haar PROPN iajs-3060 95 3 wavelet wavelet PROPN iajs-3060 95 4 function function PROPN iajs-3060 95 5 ψ(𝑑 ψ(𝑑 PROPN iajs-3060 95 6 ) ) PUNCT iajs-3060 95 7 can can AUX iajs-3060 95 8 be be AUX iajs-3060 95 9 described describe VERB iajs-3060 95 10 as as ADP iajs-3060 95 11 [ [ X iajs-3060 95 12 1 1 NUM iajs-3060 95 13 , , PUNCT iajs-3060 95 14 26 26 NUM iajs-3060 95 15 ] ] X iajs-3060 95 16 : : PUNCT iajs-3060 95 17 ψ(𝑑 ψ(𝑑 NUM iajs-3060 95 18 ) ) PUNCT iajs-3060 96 1 = = PRON iajs-3060 96 2 { { PUNCT iajs-3060 96 3 1 1 NUM iajs-3060 96 4 0 0 NUM iajs-3060 96 5 ≀ ≀ NUM iajs-3060 96 6 𝑑 𝑑 X iajs-3060 96 7 < < X iajs-3060 96 8 1 1 NUM iajs-3060 96 9 2 2 NUM iajs-3060 96 10 βˆ’1 βˆ’1 NOUN iajs-3060 96 11 1 1 NUM iajs-3060 96 12 2 2 NUM iajs-3060 96 13 ≀𝑑≀1 ≀𝑑≀1 NOUN iajs-3060 96 14 0 0 NUM iajs-3060 96 15 π‘‚π‘‘β„Žπ‘’π‘Ÿπ‘€π‘–π‘ π‘’ π‘‚π‘‘β„Žπ‘’π‘Ÿπ‘€π‘–π‘ π‘’ PROPN iajs-3060 96 16 ( ( PUNCT iajs-3060 96 17 9 9 NUM iajs-3060 96 18 ) ) PUNCT iajs-3060 96 19 so so ADV iajs-3060 96 20 , , PUNCT iajs-3060 96 21 we we PRON iajs-3060 96 22 get get VERB iajs-3060 96 23 only only ADV iajs-3060 96 24 two two NUM iajs-3060 96 25 conditions condition NOUN iajs-3060 96 26 and and CCONJ iajs-3060 96 27 two two NUM iajs-3060 96 28 equations equation NOUN iajs-3060 96 29 β„Ž0 β„Ž0 NOUN iajs-3060 97 1 + + CCONJ iajs-3060 98 1 β„Ž1 β„Ž1 PROPN iajs-3060 98 2 = = PROPN iajs-3060 98 3 √2 √2 PROPN iajs-3060 98 4 ( ( PUNCT iajs-3060 98 5 10 10 NUM iajs-3060 98 6 ) ) PUNCT iajs-3060 98 7 β„Ž0 β„Ž0 NOUN iajs-3060 98 8 2 2 NUM iajs-3060 99 1 + + CCONJ iajs-3060 99 2 β„Ž1 β„Ž1 PROPN iajs-3060 99 3 2 2 NUM iajs-3060 99 4 = = SYM iajs-3060 99 5 1 1 NUM iajs-3060 99 6 ( ( PUNCT iajs-3060 99 7 11 11 NUM iajs-3060 99 8 ) ) PUNCT iajs-3060 99 9 the the DET iajs-3060 99 10 solution solution NOUN iajs-3060 99 11 to to ADP iajs-3060 99 12 these these DET iajs-3060 99 13 equations equation NOUN iajs-3060 99 14 is be AUX iajs-3060 99 15 β„Ž0 β„Ž0 NOUN iajs-3060 99 16 = = PUNCT iajs-3060 100 1 β„Ž1 β„Ž1 PROPN iajs-3060 100 2 = = NOUN iajs-3060 100 3 1 1 NUM iajs-3060 100 4 √2 √2 PROPN iajs-3060 100 5 ( ( PUNCT iajs-3060 100 6 12 12 NUM iajs-3060 100 7 ) ) PUNCT iajs-3060 100 8 2.4 2.4 NUM iajs-3060 100 9 daubechies daubechie NOUN iajs-3060 100 10 wavelet wavelet VERB iajs-3060 100 11 the the DET iajs-3060 100 12 daubechies daubechie NOUN iajs-3060 100 13 wavelet wavelet NOUN iajs-3060 100 14 is be AUX iajs-3060 100 15 a a DET iajs-3060 100 16 discrete discrete ADJ iajs-3060 100 17 wavelet wavelet NOUN iajs-3060 100 18 named name VERB iajs-3060 100 19 by by ADP iajs-3060 100 20 belgian belgian ADJ iajs-3060 100 21 physicist physicist NOUN iajs-3060 100 22 ingrid ingrid PROPN iajs-3060 100 23 daubechies daubechies PROPN iajs-3060 101 1 [ [ X iajs-3060 101 2 3 3 NUM iajs-3060 101 3 , , PUNCT iajs-3060 101 4 27 27 NUM iajs-3060 101 5 ] ] PUNCT iajs-3060 101 6 . . PUNCT iajs-3060 102 1 the the DET iajs-3060 102 2 most most ADV iajs-3060 102 3 commonly commonly ADV iajs-3060 102 4 used use VERB iajs-3060 102 5 daubechies daubechie NOUN iajs-3060 102 6 in in ADP iajs-3060 102 7 practical practical ADJ iajs-3060 102 8 applications application NOUN iajs-3060 102 9 are be AUX iajs-3060 102 10 db2 db2 PROPN iajs-3060 102 11 - - PROPN iajs-3060 102 12 db20 db20 PROPN iajs-3060 102 13 ( ( PUNCT iajs-3060 102 14 even even ADV iajs-3060 102 15 index index NOUN iajs-3060 102 16 only only ADV iajs-3060 102 17 ) ) PUNCT iajs-3060 102 18 a a DET iajs-3060 102 19 db2 db2 NOUN iajs-3060 102 20 is be AUX iajs-3060 102 21 also also ADV iajs-3060 102 22 called call VERB iajs-3060 102 23 haar haar PROPN iajs-3060 102 24 wavelet wavelet NOUN iajs-3060 102 25 . . PUNCT iajs-3060 103 1 it it PRON iajs-3060 103 2 is be AUX iajs-3060 103 3 an an DET iajs-3060 103 4 orthogonal orthogonal ADJ iajs-3060 103 5 wavelet wavelet NOUN iajs-3060 103 6 family family NOUN iajs-3060 103 7 and and CCONJ iajs-3060 103 8 the the DET iajs-3060 103 9 number number NOUN iajs-3060 103 10 of of ADP iajs-3060 103 11 moments moment NOUN iajs-3060 103 12 is be AUX iajs-3060 103 13 equal equal ADJ iajs-3060 103 14 to to ADP iajs-3060 103 15 half half DET iajs-3060 103 16 the the DET iajs-3060 103 17 length length NOUN iajs-3060 103 18 of of ADP iajs-3060 103 19 the the DET iajs-3060 103 20 support support NOUN iajs-3060 103 21 [ [ X iajs-3060 103 22 28 28 NUM iajs-3060 103 23 ] ] PUNCT iajs-3060 103 24 . . PUNCT iajs-3060 104 1 the the DET iajs-3060 104 2 conditions condition NOUN iajs-3060 104 3 for for ADP iajs-3060 104 4 daubechies daubechie NOUN iajs-3060 104 5 db4 db4 VERB iajs-3060 104 6 wavelet wavelet NOUN iajs-3060 104 7 lead lead NOUN iajs-3060 104 8 for for ADP iajs-3060 104 9 the the DET iajs-3060 104 10 following follow VERB iajs-3060 104 11 set set NOUN iajs-3060 104 12 of of ADP iajs-3060 104 13 equations equation NOUN iajs-3060 104 14 : : PUNCT iajs-3060 104 15 β„Ž0 β„Ž0 NOUN iajs-3060 104 16 + + CCONJ iajs-3060 105 1 β„Ž1 β„Ž1 PROPN iajs-3060 105 2 + + CCONJ iajs-3060 105 3 β„Ž2 β„Ž2 ADJ iajs-3060 105 4 + + CCONJ iajs-3060 105 5 β„Ž3 β„Ž3 NOUN iajs-3060 105 6 = = SYM iajs-3060 105 7 √2 √2 PROPN iajs-3060 105 8 ( ( PUNCT iajs-3060 105 9 13 13 NUM iajs-3060 105 10 ) ) PUNCT iajs-3060 105 11 β„Ž1 β„Ž1 PROPN iajs-3060 105 12 + + NOUN iajs-3060 105 13 2β„Ž2 2β„Ž2 NUM iajs-3060 105 14 + + CCONJ iajs-3060 105 15 3β„Ž3 3β„Ž3 NUM iajs-3060 105 16 = = SYM iajs-3060 105 17 0 0 NUM iajs-3060 105 18 ( ( PUNCT iajs-3060 105 19 14 14 NUM iajs-3060 105 20 ) ) PUNCT iajs-3060 105 21 β„Ž0 β„Ž0 NOUN iajs-3060 105 22 2 2 NUM iajs-3060 106 1 + + CCONJ iajs-3060 106 2 β„Ž1 β„Ž1 PROPN iajs-3060 106 3 2 2 NUM iajs-3060 106 4 + + NOUN iajs-3060 106 5 β„Ž2 β„Ž2 ADJ iajs-3060 106 6 2 2 NUM iajs-3060 106 7 + + NUM iajs-3060 106 8 β„Ž3 β„Ž3 NOUN iajs-3060 106 9 2 2 NUM iajs-3060 106 10 = = SYM iajs-3060 106 11 1 1 NUM iajs-3060 106 12 ( ( PUNCT iajs-3060 106 13 15 15 NUM iajs-3060 106 14 ) ) PUNCT iajs-3060 106 15 β„Ž0β„Ž2 β„Ž0β„Ž2 VERB iajs-3060 107 1 + + X iajs-3060 107 2 β„Ž1β„Ž3 β„Ž1β„Ž3 VERB iajs-3060 107 3 = = SYM iajs-3060 107 4 0 0 NUM iajs-3060 107 5 ( ( PUNCT iajs-3060 107 6 16 16 NUM iajs-3060 107 7 ) ) PUNCT iajs-3060 107 8 2.5 2.5 NUM iajs-3060 107 9 coiflet coiflet NOUN iajs-3060 107 10 wavelets wavelet NOUN iajs-3060 107 11 the the DET iajs-3060 107 12 coiflet coiflet NOUN iajs-3060 107 13 wavelet wavelet NOUN iajs-3060 107 14 is be AUX iajs-3060 107 15 a a DET iajs-3060 107 16 discrete discrete ADJ iajs-3060 107 17 wavelet wavelet NOUN iajs-3060 107 18 proposed propose VERB iajs-3060 107 19 by by ADP iajs-3060 107 20 ingrid ingrid PROPN iajs-3060 107 21 daubechies daubechie NOUN iajs-3060 107 22 at at ADP iajs-3060 107 23 ronald ronald PROPN iajs-3060 107 24 coifman coifman PROPN iajs-3060 107 25 's 's PART iajs-3060 107 26 request request NOUN iajs-3060 107 27 to to PART iajs-3060 107 28 have have AUX iajs-3060 107 29 vanishing vanish VERB iajs-3060 107 30 moment moment NOUN iajs-3060 107 31 scaling scale VERB iajs-3060 107 32 functions function NOUN iajs-3060 107 33 . . PUNCT iajs-3060 108 1 it it PRON iajs-3060 108 2 is be AUX iajs-3060 108 3 an an DET iajs-3060 108 4 orthogonal orthogonal ADJ iajs-3060 108 5 wavelet wavelet NOUN iajs-3060 108 6 . . PUNCT iajs-3060 109 1 this this DET iajs-3060 109 2 wavelet wavelet NOUN iajs-3060 109 3 is be AUX iajs-3060 109 4 not not PART iajs-3060 109 5 symmetric symmetric ADJ iajs-3060 109 6 but but CCONJ iajs-3060 109 7 near near ADP iajs-3060 109 8 symmetric symmetric ADJ iajs-3060 109 9 [ [ X iajs-3060 109 10 3 3 NUM iajs-3060 109 11 ] ] PUNCT iajs-3060 109 12 . . PUNCT iajs-3060 110 1 its its PRON iajs-3060 110 2 nature nature NOUN iajs-3060 110 3 is be AUX iajs-3060 110 4 more more ADV iajs-3060 110 5 symmetric symmetric ADJ iajs-3060 110 6 than than ADP iajs-3060 110 7 the the DET iajs-3060 110 8 daubechies daubechie NOUN iajs-3060 110 9 wavelet wavelet NOUN iajs-3060 111 1 [ [ X iajs-3060 111 2 27].this 27].this PROPN iajs-3060 111 3 wavelet wavelet NOUN iajs-3060 111 4 function function NOUN iajs-3060 111 5 has have AUX iajs-3060 111 6 ( ( PUNCT iajs-3060 111 7 2𝑁 2𝑁 NOUN iajs-3060 111 8 ) ) PUNCT iajs-3060 111 9 vanishing vanish VERB iajs-3060 111 10 moments moment NOUN iajs-3060 111 11 and and CCONJ iajs-3060 111 12 its its PRON iajs-3060 111 13 scaling scaling NOUN iajs-3060 111 14 function function NOUN iajs-3060 111 15 has have VERB iajs-3060 111 16 ( ( PUNCT iajs-3060 111 17 2𝑁 2𝑁 ADJ iajs-3060 111 18 βˆ’ βˆ’ NOUN iajs-3060 111 19 1 1 NUM iajs-3060 111 20 ) ) PUNCT iajs-3060 111 21 vanishing vanish VERB iajs-3060 111 22 moments moment NOUN iajs-3060 111 23 . . PUNCT iajs-3060 112 1 the the DET iajs-3060 112 2 set set NOUN iajs-3060 112 3 of of ADP iajs-3060 112 4 equations equation NOUN iajs-3060 112 5 for for ADP iajs-3060 112 6 coefficients coefficient NOUN iajs-3060 112 7 for for ADP iajs-3060 112 8 coifet2 coifet2 NOUN iajs-3060 112 9 is be AUX iajs-3060 112 10 : : PUNCT iajs-3060 112 11 β„Žβˆ’2 β„Žβˆ’2 PROPN iajs-3060 112 12 + + CCONJ iajs-3060 112 13 β„Žβˆ’1 β„Žβˆ’1 PROPN iajs-3060 112 14 + + CCONJ iajs-3060 112 15 β„Ž0 β„Ž0 PROPN iajs-3060 112 16 + + CCONJ iajs-3060 112 17 β„Ž1 β„Ž1 PROPN iajs-3060 112 18 + + CCONJ iajs-3060 112 19 β„Ž2 β„Ž2 ADJ iajs-3060 112 20 + + CCONJ iajs-3060 112 21 β„Ž3 β„Ž3 NOUN iajs-3060 112 22 = = SYM iajs-3060 112 23 √2 √2 PROPN iajs-3060 112 24 ( ( PUNCT iajs-3060 112 25 17 17 NUM iajs-3060 112 26 ) ) PUNCT iajs-3060 112 27 βˆ’2β„Žβˆ’2 βˆ’2β„Žβˆ’2 PROPN iajs-3060 112 28 βˆ’ βˆ’ PROPN iajs-3060 113 1 β„Žβˆ’1 β„Žβˆ’1 PROPN iajs-3060 113 2 + + NUM iajs-3060 113 3 β„Ž1 β„Ž1 PROPN iajs-3060 113 4 + + NUM iajs-3060 113 5 2β„Ž2 2β„Ž2 NUM iajs-3060 113 6 + + CCONJ iajs-3060 113 7 3β„Ž3 3β„Ž3 NUM iajs-3060 113 8 = = SYM iajs-3060 113 9 0 0 NUM iajs-3060 113 10 ( ( PUNCT iajs-3060 113 11 18 18 NUM iajs-3060 113 12 ) ) PUNCT iajs-3060 113 13 β„Žβˆ’2 β„Žβˆ’2 NOUN iajs-3060 113 14 2 2 NUM iajs-3060 113 15 + + CCONJ iajs-3060 113 16 β„Žβˆ’1 β„Žβˆ’1 PROPN iajs-3060 113 17 2 2 NUM iajs-3060 113 18 + + SYM iajs-3060 113 19 β„Ž0 β„Ž0 PROPN iajs-3060 113 20 2 2 NUM iajs-3060 114 1 + + CCONJ iajs-3060 114 2 β„Ž1 β„Ž1 PROPN iajs-3060 114 3 2 2 NUM iajs-3060 114 4 + + NOUN iajs-3060 114 5 β„Ž2 β„Ž2 ADJ iajs-3060 114 6 2 2 NUM iajs-3060 114 7 + + NUM iajs-3060 114 8 β„Ž3 β„Ž3 NOUN iajs-3060 114 9 2 2 NUM iajs-3060 114 10 = = SYM iajs-3060 114 11 1 1 NUM iajs-3060 114 12 ( ( PUNCT iajs-3060 114 13 19 19 NUM iajs-3060 114 14 ) ) PUNCT iajs-3060 114 15 β„Žβˆ’2β„Ž0 β„Žβˆ’2β„Ž0 NOUN iajs-3060 115 1 + + CCONJ iajs-3060 115 2 β„Žβˆ’1β„Ž1 β„Žβˆ’1β„Ž1 NOUN iajs-3060 115 3 + + X iajs-3060 115 4 β„Ž0β„Ž2 β„Ž0β„Ž2 ADP iajs-3060 115 5 + + CCONJ iajs-3060 115 6 β„Ž1β„Ž3 β„Ž1β„Ž3 VERB iajs-3060 115 7 = = SYM iajs-3060 115 8 0 0 NUM iajs-3060 115 9 ( ( PUNCT iajs-3060 115 10 20 20 NUM iajs-3060 115 11 ) ) PUNCT iajs-3060 115 12 β„Žβˆ’2β„Ž2 β„Žβˆ’2β„Ž2 NOUN iajs-3060 115 13 + + PUNCT iajs-3060 115 14 β„Žβˆ’1β„Ž3 β„Žβˆ’1β„Ž3 NUM iajs-3060 115 15 = = SYM iajs-3060 115 16 0 0 NUM iajs-3060 115 17 ( ( PUNCT iajs-3060 115 18 21 21 NUM iajs-3060 115 19 ) ) PUNCT iajs-3060 115 20 ihjpas ihjpa NOUN iajs-3060 115 21 . . PUNCT iajs-3060 116 1 36(2)2023 36(2)2023 NUM iajs-3060 116 2 424 424 NUM iajs-3060 116 3 2.6 2.6 NUM iajs-3060 116 4 mexican mexican ADJ iajs-3060 116 5 hat hat NOUN iajs-3060 116 6 wavelet wavelet NOUN iajs-3060 116 7 the the DET iajs-3060 116 8 mexican mexican ADJ iajs-3060 116 9 wavelet wavelet NOUN iajs-3060 116 10 is be AUX iajs-3060 116 11 obtained obtain VERB iajs-3060 116 12 after after ADP iajs-3060 116 13 the the DET iajs-3060 116 14 second second ADJ iajs-3060 116 15 derivative derivative NOUN iajs-3060 116 16 of of ADP iajs-3060 116 17 a a DET iajs-3060 116 18 gaussian gaussian ADJ iajs-3060 116 19 function function NOUN iajs-3060 116 20 . . PUNCT iajs-3060 117 1 this this DET iajs-3060 117 2 wavelet wavelet NOUN iajs-3060 117 3 is be AUX iajs-3060 117 4 non non ADJ iajs-3060 117 5 - - ADJ iajs-3060 117 6 orthogonal orthogonal ADJ iajs-3060 117 7 and and CCONJ iajs-3060 117 8 infinite infinite ADJ iajs-3060 117 9 support support NOUN iajs-3060 117 10 . . PUNCT iajs-3060 118 1 this this DET iajs-3060 118 2 wavelet wavelet NOUN iajs-3060 118 3 is be AUX iajs-3060 118 4 symmetric symmetric ADJ iajs-3060 118 5 and and CCONJ iajs-3060 118 6 explicit explicit ADJ iajs-3060 118 7 expression expression NOUN iajs-3060 118 8 of of ADP iajs-3060 118 9 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 118 10 ) ) PUNCT iajs-3060 118 11 . . PUNCT iajs-3060 119 1 the the DET iajs-3060 119 2 analytic analytic ADJ iajs-3060 119 3 formula formula NOUN iajs-3060 119 4 of of ADP iajs-3060 119 5 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 119 6 ) ) PUNCT iajs-3060 119 7 for for ADP iajs-3060 119 8 mexican mexican ADJ iajs-3060 119 9 hat hat NOUN iajs-3060 119 10 wavelet wavelet NOUN iajs-3060 119 11 [ [ X iajs-3060 119 12 3 3 NUM iajs-3060 119 13 , , PUNCT iajs-3060 119 14 10 10 NUM iajs-3060 119 15 ] ] PUNCT iajs-3060 119 16 as as SCONJ iajs-3060 119 17 follows follow VERB iajs-3060 119 18 : : PUNCT iajs-3060 119 19 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 119 20 ) ) PUNCT iajs-3060 119 21 = = SYM iajs-3060 119 22 ( ( PUNCT iajs-3060 119 23 1 1 NUM iajs-3060 119 24 βˆ’ βˆ’ PROPN iajs-3060 119 25 𝑑2)π‘’βˆ’0.5𝑑2 𝑑2)π‘’βˆ’0.5𝑑2 SYM iajs-3060 119 26 ( ( PUNCT iajs-3060 119 27 22 22 NUM iajs-3060 119 28 ) ) PUNCT iajs-3060 119 29 2.7 2.7 NUM iajs-3060 119 30 golden golden ADJ iajs-3060 119 31 hat hat NOUN iajs-3060 119 32 wavelet wavelet NOUN iajs-3060 119 33 gossler gossler PROPN iajs-3060 119 34 et et PROPN iajs-3060 119 35 al al PROPN iajs-3060 119 36 ( ( PUNCT iajs-3060 119 37 2018 2018 NUM iajs-3060 119 38 ) ) PUNCT iajs-3060 120 1 [ [ X iajs-3060 120 2 17 17 NUM iajs-3060 120 3 ] ] PUNCT iajs-3060 120 4 , , PUNCT iajs-3060 120 5 proposed propose VERB iajs-3060 120 6 a a DET iajs-3060 120 7 golden golden ADJ iajs-3060 120 8 hat hat NOUN iajs-3060 120 9 function function NOUN iajs-3060 120 10 generated generate VERB iajs-3060 120 11 by by ADP iajs-3060 120 12 fcps fcps PROPN iajs-3060 120 13 as as ADP iajs-3060 120 14 the the DET iajs-3060 120 15 fourth fourth ADJ iajs-3060 120 16 derivative derivative NOUN iajs-3060 120 17 of of ADP iajs-3060 120 18 the the DET iajs-3060 120 19 quotient quotient NOUN iajs-3060 120 20 between between ADP iajs-3060 120 21 𝑝0(𝑑 𝑝0(𝑑 PROPN iajs-3060 120 22 ) ) PUNCT iajs-3060 120 23 = = SYM iajs-3060 120 24 1 1 NUM iajs-3060 120 25 and and CCONJ iajs-3060 120 26 𝑝2(𝑑 𝑝2(𝑑 NOUN iajs-3060 120 27 ) ) PUNCT iajs-3060 120 28 = = SYM iajs-3060 120 29 𝑑2 𝑑2 PROPN iajs-3060 120 30 + + CCONJ iajs-3060 120 31 𝑑 𝑑 PROPN iajs-3060 120 32 + + NOUN iajs-3060 120 33 2 2 NUM iajs-3060 120 34 , , PUNCT iajs-3060 120 35 expressed express VERB iajs-3060 120 36 by by ADP iajs-3060 120 37 the the DET iajs-3060 120 38 equation equation NOUN iajs-3060 120 39 : : PUNCT iajs-3060 120 40 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 120 41 ) ) PUNCT iajs-3060 120 42 = = SYM iajs-3060 121 1 24(5𝑑4 24(5𝑑4 NUM iajs-3060 121 2 + + NOUN iajs-3060 121 3 10𝑑3βˆ’10𝑑2βˆ’15π‘‘βˆ’1 10𝑑3βˆ’10𝑑2βˆ’15π‘‘βˆ’1 NUM iajs-3060 121 4 ) ) PUNCT iajs-3060 121 5 ( ( PUNCT iajs-3060 121 6 𝑑2+𝑑+2)5 𝑑2+𝑑+2)5 NOUN iajs-3060 121 7 ( ( PUNCT iajs-3060 121 8 23 23 NUM iajs-3060 121 9 ) ) PUNCT iajs-3060 121 10 the the DET iajs-3060 121 11 researcher researcher NOUN iajs-3060 121 12 named name VERB iajs-3060 121 13 the the DET iajs-3060 121 14 new new ADJ iajs-3060 121 15 wavelet wavelet NOUN iajs-3060 121 16 function function NOUN iajs-3060 121 17 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 121 18 ) ) PUNCT iajs-3060 121 19 as as ADP iajs-3060 121 20 golden golden ADJ iajs-3060 121 21 wavelet wavelet NOUN iajs-3060 121 22 , , PUNCT iajs-3060 121 23 because because SCONJ iajs-3060 121 24 of of ADP iajs-3060 121 25 the the DET iajs-3060 121 26 relation relation NOUN iajs-3060 121 27 between between ADP iajs-3060 121 28 fibonacci fibonacci NOUN iajs-3060 121 29 sequences sequence NOUN iajs-3060 121 30 and and CCONJ iajs-3060 121 31 the the DET iajs-3060 121 32 golden golden ADJ iajs-3060 121 33 ratio ratio NOUN iajs-3060 121 34 . . PUNCT iajs-3060 122 1 2.8 2.8 NUM iajs-3060 122 2 proposed propose VERB iajs-3060 122 3 a a DET iajs-3060 122 4 new new ADJ iajs-3060 122 5 wavelet wavelet NOUN iajs-3060 122 6 function function NOUN iajs-3060 122 7 the the DET iajs-3060 122 8 researcher researcher NOUN iajs-3060 122 9 proposed propose VERB iajs-3060 122 10 a a DET iajs-3060 122 11 new new ADJ iajs-3060 122 12 wavelet wavelet NOUN iajs-3060 122 13 function function NOUN iajs-3060 122 14 generated generate VERB iajs-3060 122 15 by by ADP iajs-3060 122 16 fibonacci fibonacci NOUN iajs-3060 122 17 coefficient coefficient PROPN iajs-3060 122 18 polynomials polynomial NOUN iajs-3060 122 19 ( ( PUNCT iajs-3060 122 20 fcps fcps PROPN iajs-3060 122 21 ) ) PUNCT iajs-3060 122 22 . . PUNCT iajs-3060 123 1 2.8.1 2.8.1 NUM iajs-3060 123 2 fibonacci fibonacci NOUN iajs-3060 123 3 coefficient coefficient PROPN iajs-3060 123 4 polynomials polynomial NOUN iajs-3060 123 5 fibonacci fibonacci PROPN iajs-3060 123 6 coefficient coefficient PROPN iajs-3060 123 7 polynomials polynomial NOUN iajs-3060 123 8 ( ( PUNCT iajs-3060 123 9 fcps fcps PROPN iajs-3060 123 10 ) ) PUNCT iajs-3060 123 11 introduced introduce VERB iajs-3060 123 12 by by ADP iajs-3060 123 13 garth garth PROPN iajs-3060 123 14 mills mills PROPN iajs-3060 123 15 and and CCONJ iajs-3060 123 16 mitchell mitchell PROPN iajs-3060 123 17 ( ( PUNCT iajs-3060 123 18 2007 2007 NUM iajs-3060 123 19 ) ) PUNCT iajs-3060 123 20 , , PUNCT iajs-3060 123 21 and and CCONJ iajs-3060 123 22 they they PRON iajs-3060 123 23 are be AUX iajs-3060 123 24 building build VERB iajs-3060 123 25 by by ADP iajs-3060 123 26 fibonacci fibonacci NOUN iajs-3060 123 27 sequences sequence NOUN iajs-3060 123 28 . . PUNCT iajs-3060 124 1 the the DET iajs-3060 124 2 fibonacci fibonacci NOUN iajs-3060 124 3 sequence sequence NOUN iajs-3060 124 4 one one NUM iajs-3060 124 5 of of ADP iajs-3060 124 6 the the DET iajs-3060 124 7 most most ADV iajs-3060 124 8 well well ADV iajs-3060 124 9 - - PUNCT iajs-3060 124 10 known know VERB iajs-3060 124 11 mathematical mathematical ADJ iajs-3060 124 12 formulas formula NOUN iajs-3060 124 13 . . PUNCT iajs-3060 125 1 the the DET iajs-3060 125 2 sum sum NOUN iajs-3060 125 3 of of ADP iajs-3060 125 4 the the DET iajs-3060 125 5 two two NUM iajs-3060 125 6 numbers number NOUN iajs-3060 125 7 that that PRON iajs-3060 125 8 precede precede VERB iajs-3060 125 9 it it PRON iajs-3060 125 10 determines determine VERB iajs-3060 125 11 the the DET iajs-3060 125 12 next next ADJ iajs-3060 125 13 number number NOUN iajs-3060 125 14 in in ADP iajs-3060 125 15 the the DET iajs-3060 125 16 sequence sequence NOUN iajs-3060 125 17 . . PUNCT iajs-3060 126 1 the the DET iajs-3060 126 2 sequence sequence NOUN iajs-3060 126 3 is be AUX iajs-3060 126 4 0 0 NUM iajs-3060 126 5 , , PUNCT iajs-3060 126 6 1 1 NUM iajs-3060 126 7 , , PUNCT iajs-3060 126 8 1 1 NUM iajs-3060 126 9 , , PUNCT iajs-3060 126 10 2 2 NUM iajs-3060 126 11 , , PUNCT iajs-3060 126 12 3 3 NUM iajs-3060 126 13 , , PUNCT iajs-3060 126 14 5 5 NUM iajs-3060 126 15 , , PUNCT iajs-3060 126 16 8 8 NUM iajs-3060 126 17 , , PUNCT iajs-3060 126 18 13 13 NUM iajs-3060 126 19 , , PUNCT iajs-3060 126 20 21 21 NUM iajs-3060 126 21 , , PUNCT iajs-3060 126 22 34 34 NUM iajs-3060 126 23 , , PUNCT iajs-3060 126 24 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ iajs-3060 126 25 π‘ π‘œ π‘ π‘œ ADP iajs-3060 126 26 π‘œπ‘› π‘œπ‘› PROPN iajs-3060 127 1 [ [ X iajs-3060 127 2 29 29 NUM iajs-3060 127 3 ] ] PUNCT iajs-3060 127 4 . . PUNCT iajs-3060 128 1 we we PRON iajs-3060 128 2 define define VERB iajs-3060 128 3 polynomial polynomial ADJ iajs-3060 128 4 sequence sequence NOUN iajs-3060 128 5 { { PUNCT iajs-3060 128 6 𝑝𝑛(𝑑)}𝑛=0 𝑝𝑛(𝑑)}𝑛=0 VERB iajs-3060 128 7 ∞ ∞ NUM iajs-3060 128 8 by by ADP iajs-3060 128 9 setting set VERB iajs-3060 128 10 𝑝0(𝑑 𝑝0(𝑑 PART iajs-3060 128 11 ) ) PUNCT iajs-3060 128 12 = = SYM iajs-3060 128 13 1 1 NUM iajs-3060 128 14 and and CCONJ iajs-3060 128 15 𝑝𝑛(𝑑 𝑝𝑛(𝑑 PROPN iajs-3060 128 16 ) ) PUNCT iajs-3060 129 1 = = PUNCT iajs-3060 129 2 βˆ‘ βˆ‘ PUNCT iajs-3060 129 3 πΉπ‘˜+1π‘‘π‘›βˆ’π‘˜π‘› πΉπ‘˜+1π‘‘π‘›βˆ’π‘˜π‘› PROPN iajs-3060 129 4 π‘˜=0 π‘˜=0 PROPN iajs-3060 129 5 , , PUNCT iajs-3060 129 6 𝑛 𝑛 DET iajs-3060 129 7 β‰₯ β‰₯ NUM iajs-3060 129 8 1 1 NUM iajs-3060 129 9 ( ( PUNCT iajs-3060 129 10 24 24 NUM iajs-3060 129 11 ) ) PUNCT iajs-3060 129 12 𝑝𝑛(𝑑 𝑝𝑛(𝑑 PROPN iajs-3060 129 13 ) ) PUNCT iajs-3060 129 14 is be AUX iajs-3060 129 15 called call VERB iajs-3060 129 16 fibonacci fibonacci NOUN iajs-3060 129 17 coefficient coefficient PROPN iajs-3060 129 18 polynomial polynomial ADJ iajs-3060 129 19 ( ( PUNCT iajs-3060 129 20 fcp fcp PROPN iajs-3060 129 21 ) ) PUNCT iajs-3060 129 22 of of ADP iajs-3060 129 23 order order NOUN iajs-3060 129 24 𝑛 𝑛 PRON iajs-3060 129 25 [ [ X iajs-3060 129 26 30 30 NUM iajs-3060 129 27 , , PUNCT iajs-3060 129 28 31 31 NUM iajs-3060 129 29 ] ] PUNCT iajs-3060 129 30 . . PUNCT iajs-3060 130 1 the the DET iajs-3060 130 2 fibonacci fibonacci NOUN iajs-3060 130 3 numbers number NOUN iajs-3060 130 4 πΉπ‘˜ πΉπ‘˜ PRON iajs-3060 130 5 are be AUX iajs-3060 130 6 the the DET iajs-3060 130 7 terms term NOUN iajs-3060 130 8 of of ADP iajs-3060 130 9 the the DET iajs-3060 130 10 sequence sequence NOUN iajs-3060 130 11 πΉπ‘˜ πΉπ‘˜ PROPN iajs-3060 130 12 = = SYM iajs-3060 130 13 πΉπ‘˜βˆ’1 πΉπ‘˜βˆ’1 PROPN iajs-3060 130 14 + + CCONJ iajs-3060 130 15 πΉπ‘˜βˆ’2 πΉπ‘˜βˆ’2 PROPN iajs-3060 130 16 , , PUNCT iajs-3060 130 17 π‘˜ π‘˜ DET iajs-3060 130 18 β‰₯ β‰₯ NOUN iajs-3060 130 19 2 2 NUM iajs-3060 130 20 ( ( PUNCT iajs-3060 130 21 25 25 NUM iajs-3060 130 22 ) ) PUNCT iajs-3060 130 23 with with ADP iajs-3060 130 24 initial initial ADJ iajs-3060 130 25 terms term NOUN iajs-3060 130 26 are be AUX iajs-3060 130 27 𝐹0 𝐹0 NOUN iajs-3060 130 28 = = SYM iajs-3060 130 29 0 0 NUM iajs-3060 130 30 and and CCONJ iajs-3060 130 31 𝐹1 𝐹1 NOUN iajs-3060 130 32 = = NOUN iajs-3060 130 33 1 1 X iajs-3060 130 34 . . X iajs-3060 130 35 2.8.2 2.8.2 NUM iajs-3060 130 36 proposed propose VERB iajs-3060 130 37 wavelet wavelet NOUN iajs-3060 130 38 the the DET iajs-3060 130 39 researcher researcher NOUN iajs-3060 130 40 proposed propose VERB iajs-3060 130 41 a a DET iajs-3060 130 42 new new ADJ iajs-3060 130 43 wavelet wavelet NOUN iajs-3060 130 44 function function NOUN iajs-3060 130 45 generated generate VERB iajs-3060 130 46 by by ADP iajs-3060 130 47 ( ( PUNCT iajs-3060 130 48 fcps fcps PROPN iajs-3060 130 49 ) ) PUNCT iajs-3060 130 50 by by ADP iajs-3060 130 51 the the DET iajs-3060 130 52 sixth sixth ADJ iajs-3060 130 53 derivative derivative NOUN iajs-3060 130 54 of of ADP iajs-3060 130 55 the the DET iajs-3060 130 56 quotient quotient NOUN iajs-3060 130 57 between between ADP iajs-3060 130 58 𝑝0(𝑑 𝑝0(𝑑 PROPN iajs-3060 130 59 ) ) PUNCT iajs-3060 130 60 and and CCONJ iajs-3060 130 61 𝑝2(𝑑 𝑝2(𝑑 PROPN iajs-3060 130 62 ) ) PUNCT iajs-3060 130 63 . . PUNCT iajs-3060 131 1 the the DET iajs-3060 131 2 proposed propose VERB iajs-3060 131 3 wavelet wavelet NOUN iajs-3060 131 4 is be AUX iajs-3060 131 5 : : PUNCT iajs-3060 131 6 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 131 7 ) ) PUNCT iajs-3060 131 8 = = SYM iajs-3060 131 9 5040𝐴+25200𝐡 5040𝐴+25200𝐡 NUM iajs-3060 131 10 𝐢7 𝐢7 X iajs-3060 131 11 ( ( PUNCT iajs-3060 131 12 26 26 NUM iajs-3060 131 13 ) ) PUNCT iajs-3060 131 14 where where SCONJ iajs-3060 131 15 𝐴 𝐴 NOUN iajs-3060 131 16 = = SYM iajs-3060 131 17 βˆ’ βˆ’ PROPN iajs-3060 131 18 𝑑6 𝑑6 PROPN iajs-3060 131 19 + + CCONJ iajs-3060 131 20 3𝑑5 3𝑑5 NUM iajs-3060 131 21 + + NUM iajs-3060 131 22 3𝑑2 3𝑑2 NUM iajs-3060 131 23 βˆ’ βˆ’ NOUN iajs-3060 131 24 1 1 NUM iajs-3060 131 25 ( ( PUNCT iajs-3060 131 26 27 27 NUM iajs-3060 131 27 ) ) PUNCT iajs-3060 131 28 𝐡 𝐡 NOUN iajs-3060 131 29 = = SYM iajs-3060 131 30 𝑑4 𝑑4 PROPN iajs-3060 131 31 + + CCONJ iajs-3060 131 32 3 3 NUM iajs-3060 131 33 𝑑3 𝑑3 PROPN iajs-3060 131 34 βˆ’ βˆ’ PROPN iajs-3060 131 35 𝑑 𝑑 PROPN iajs-3060 131 36 ( ( PUNCT iajs-3060 131 37 28 28 NUM iajs-3060 131 38 ) ) PUNCT iajs-3060 131 39 𝐢 𝐢 PROPN iajs-3060 131 40 = = PROPN iajs-3060 131 41 𝑑2 𝑑2 PROPN iajs-3060 131 42 + + CCONJ iajs-3060 131 43 𝑑 𝑑 PROPN iajs-3060 131 44 + + ADJ iajs-3060 131 45 2 2 NUM iajs-3060 131 46 ( ( PUNCT iajs-3060 131 47 29 29 NUM iajs-3060 131 48 ) ) PUNCT iajs-3060 131 49 a a DET iajs-3060 131 50 wavelet wavelet NOUN iajs-3060 131 51 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 131 52 ) ) PUNCT iajs-3060 131 53 has have VERB iajs-3060 131 54 𝑁 𝑁 PROPN iajs-3060 131 55 vanishing vanish VERB iajs-3060 131 56 moments moment NOUN iajs-3060 131 57 with with ADP iajs-3060 131 58 a a DET iajs-3060 131 59 fast fast ADJ iajs-3060 131 60 decay decay NOUN iajs-3060 131 61 if if SCONJ iajs-3060 132 1 and and CCONJ iajs-3060 132 2 only only ADV iajs-3060 132 3 if if SCONJ iajs-3060 132 4 there there PRON iajs-3060 132 5 exists exist VERB iajs-3060 132 6 𝑔(𝑑 𝑔(𝑑 PROPN iajs-3060 132 7 ) ) PUNCT iajs-3060 132 8 with with ADP iajs-3060 132 9 a a DET iajs-3060 132 10 fast fast ADJ iajs-3060 132 11 decay decay NOUN iajs-3060 132 12 such such ADJ iajs-3060 132 13 that that SCONJ iajs-3060 132 14 [ [ X iajs-3060 132 15 17 17 NUM iajs-3060 132 16 ] ] SYM iajs-3060 132 17 : : PUNCT iajs-3060 132 18 ihjpas ihjpas PROPN iajs-3060 132 19 . . PUNCT iajs-3060 133 1 36(2)2023 36(2)2023 NUM iajs-3060 133 2 425 425 NUM iajs-3060 133 3 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 133 4 ) ) PUNCT iajs-3060 133 5 = = SYM iajs-3060 133 6 ( ( PUNCT iajs-3060 133 7 βˆ’1)𝑁 βˆ’1)𝑁 PROPN iajs-3060 133 8 𝑑𝑁 𝑑𝑁 PROPN iajs-3060 133 9 𝑑𝑑𝑁 𝑑𝑑𝑁 PROPN iajs-3060 133 10 𝑔(𝑑 𝑔(𝑑 PROPN iajs-3060 133 11 ) ) PUNCT iajs-3060 133 12 ( ( PUNCT iajs-3060 133 13 30 30 NUM iajs-3060 133 14 ) ) PUNCT iajs-3060 133 15 where where SCONJ iajs-3060 133 16 𝑔(𝑑 𝑔(𝑑 PROPN iajs-3060 133 17 ) ) PUNCT iajs-3060 133 18 is be AUX iajs-3060 133 19 a a DET iajs-3060 133 20 function function NOUN iajs-3060 133 21 of of ADP iajs-3060 133 22 quotient quotient NOUN iajs-3060 133 23 between between ADP iajs-3060 133 24 𝑝0(𝑑 𝑝0(𝑑 PROPN iajs-3060 133 25 ) ) PUNCT iajs-3060 133 26 and and CCONJ iajs-3060 133 27 𝑝2(𝑑 𝑝2(𝑑 PROPN iajs-3060 133 28 ) ) PUNCT iajs-3060 133 29 . . PUNCT iajs-3060 134 1 2.8.3 2.8.3 NUM iajs-3060 134 2 conditions condition NOUN iajs-3060 134 3 of of ADP iajs-3060 134 4 proposed propose VERB iajs-3060 134 5 wavelet wavelet NOUN iajs-3060 134 6 in in ADP iajs-3060 134 7 order order NOUN iajs-3060 134 8 to to PART iajs-3060 134 9 show show VERB iajs-3060 134 10 that that SCONJ iajs-3060 134 11 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 134 12 ) ) PUNCT iajs-3060 134 13 defied defy VERB iajs-3060 134 14 in in ADP iajs-3060 134 15 ( ( PUNCT iajs-3060 134 16 26 26 NUM iajs-3060 134 17 ) ) PUNCT iajs-3060 134 18 is be AUX iajs-3060 134 19 a a DET iajs-3060 134 20 wavelet wavelet NOUN iajs-3060 134 21 , , PUNCT iajs-3060 134 22 it it PRON iajs-3060 134 23 must must AUX iajs-3060 134 24 satisfy satisfy VERB iajs-3060 134 25 the the DET iajs-3060 134 26 following follow VERB iajs-3060 134 27 conditions condition NOUN iajs-3060 134 28 : : PUNCT iajs-3060 134 29 1 1 X iajs-3060 134 30 . . X iajs-3060 134 31 admissibility admissibility NOUN iajs-3060 134 32 condition condition NOUN iajs-3060 134 33 . . PUNCT iajs-3060 135 1 to to PART iajs-3060 135 2 verify verify VERB iajs-3060 135 3 this this DET iajs-3060 135 4 condition condition NOUN iajs-3060 135 5 , , PUNCT iajs-3060 135 6 we we PRON iajs-3060 135 7 use use VERB iajs-3060 135 8 the the DET iajs-3060 135 9 fourier fourier NOUN iajs-3060 135 10 transform transform NOUN iajs-3060 135 11 ( ( PUNCT iajs-3060 135 12 ft ft NOUN iajs-3060 135 13 ) ) PUNCT iajs-3060 135 14 time time NOUN iajs-3060 135 15 derivatives derivative NOUN iajs-3060 135 16 property property NOUN iajs-3060 135 17 : : PUNCT iajs-3060 135 18 οΏ½ οΏ½ PROPN iajs-3060 135 19 Μ‚ Μ‚ VERB iajs-3060 135 20 οΏ½ οΏ½ NOUN iajs-3060 135 21 (πœ” (πœ” NUM iajs-3060 135 22 ) ) PUNCT iajs-3060 135 23 = = SYM iajs-3060 135 24 ( ( PUNCT iajs-3060 135 25 π‘–πœ”)6𝐺(π‘–πœ” π‘–πœ”)6𝐺(π‘–πœ” INTJ iajs-3060 135 26 ) ) PUNCT iajs-3060 135 27 ( ( PUNCT iajs-3060 135 28 31 31 NUM iajs-3060 135 29 ) ) PUNCT iajs-3060 135 30 where where SCONJ iajs-3060 135 31 𝐺(π‘–πœ” 𝐺(π‘–πœ” NOUN iajs-3060 135 32 ) ) PUNCT iajs-3060 135 33 is be AUX iajs-3060 135 34 the the DET iajs-3060 135 35 ft ft NOUN iajs-3060 135 36 of of ADP iajs-3060 135 37 the the DET iajs-3060 135 38 𝑔(𝑑 𝑔(𝑑 PROPN iajs-3060 135 39 ) ) PUNCT iajs-3060 135 40 , , PUNCT iajs-3060 135 41 thus thus ADV iajs-3060 135 42 can can AUX iajs-3060 135 43 be be AUX iajs-3060 135 44 given give VERB iajs-3060 135 45 by by ADP iajs-3060 135 46 𝐺(π‘–πœ” 𝐺(π‘–πœ” ADJ iajs-3060 135 47 ) ) PUNCT iajs-3060 136 1 = = SYM iajs-3060 136 2 ∫ ∫ PROPN iajs-3060 136 3 𝑔(𝑑)π‘’βˆ’π‘–πœ”π‘‘π‘‘π‘‘ 𝑔(𝑑)π‘’βˆ’π‘–πœ”π‘‘π‘‘π‘‘ NOUN iajs-3060 136 4 ∞ ∞ PROPN iajs-3060 137 1 βˆ’βˆž βˆ’βˆž X iajs-3060 137 2 = = SYM iajs-3060 137 3 2πœ‹ 2πœ‹ NUM iajs-3060 137 4 √7 √7 PROPN iajs-3060 137 5 𝑒0.5(π‘–πœ”βˆ’βˆš7|πœ”| 𝑒0.5(π‘–πœ”βˆ’βˆš7|πœ”| NOUN iajs-3060 137 6 ) ) PUNCT iajs-3060 137 7 ( ( PUNCT iajs-3060 137 8 32 32 NUM iajs-3060 137 9 ) ) PUNCT iajs-3060 137 10 οΏ½ οΏ½ PROPN iajs-3060 137 11 Μ‚ Μ‚ VERB iajs-3060 137 12 οΏ½ οΏ½ NOUN iajs-3060 137 13 (πœ” (πœ” NUM iajs-3060 137 14 ) ) PUNCT iajs-3060 137 15 = = SYM iajs-3060 138 1 ( ( PUNCT iajs-3060 138 2 π‘–πœ”)6 π‘–πœ”)6 PROPN iajs-3060 138 3 2πœ‹ 2πœ‹ NOUN iajs-3060 138 4 √7 √7 PROPN iajs-3060 138 5 𝑒0.5(π‘–πœ”βˆ’βˆš7|πœ”| 𝑒0.5(π‘–πœ”βˆ’βˆš7|πœ”| NOUN iajs-3060 138 6 ) ) PUNCT iajs-3060 138 7 ( ( PUNCT iajs-3060 138 8 33 33 NUM iajs-3060 138 9 ) ) PUNCT iajs-3060 138 10 the the DET iajs-3060 138 11 obtained obtain VERB iajs-3060 138 12 result result NOUN iajs-3060 138 13 was be AUX iajs-3060 138 14 πΆπœ“ πΆπœ“ PROPN iajs-3060 138 15 = = PUNCT iajs-3060 138 16 ∫ ∫ PROPN iajs-3060 138 17 | | NOUN iajs-3060 138 18 οΏ½ οΏ½ PROPN iajs-3060 138 19 Μ‚ Μ‚ NOUN iajs-3060 138 20 οΏ½ οΏ½ NOUN iajs-3060 138 21 (πœ”)| (πœ”)| PUNCT iajs-3060 138 22 2 2 NUM iajs-3060 138 23 |πœ”| |πœ”| NOUN iajs-3060 138 24 ∞ ∞ NUM iajs-3060 138 25 βˆ’βˆž βˆ’βˆž X iajs-3060 138 26 π‘‘πœ” π‘‘πœ” NOUN iajs-3060 138 27 = = SYM iajs-3060 138 28 2714.2976πœ‹2 2714.2976πœ‹2 PROPN iajs-3060 138 29 117649 117649 NUM iajs-3060 138 30 < < X iajs-3060 138 31 ∞ ∞ PROPN iajs-3060 138 32 ( ( PUNCT iajs-3060 138 33 34 34 NUM iajs-3060 138 34 ) ) PUNCT iajs-3060 138 35 2 2 NUM iajs-3060 138 36 . . PUNCT iajs-3060 139 1 the the DET iajs-3060 139 2 second second ADJ iajs-3060 139 3 step step NOUN iajs-3060 139 4 , , PUNCT iajs-3060 139 5 was be AUX iajs-3060 139 6 verify verify VERB iajs-3060 139 7 the the DET iajs-3060 139 8 condition condition NOUN iajs-3060 139 9 of of ADP iajs-3060 139 10 ( ( PUNCT iajs-3060 139 11 8) 8) NUM iajs-3060 139 12 . . PUNCT iajs-3060 140 1 the the DET iajs-3060 140 2 obtained obtain VERB iajs-3060 140 3 result result NOUN iajs-3060 140 4 was be AUX iajs-3060 140 5 ∫ ∫ PROPN iajs-3060 140 6 |πœ“(𝑑)|2∞ |πœ“(𝑑)|2∞ PROPN iajs-3060 140 7 βˆ’βˆž βˆ’βˆž PUNCT iajs-3060 140 8 𝑑𝑑 𝑑𝑑 ADP iajs-3060 140 9 = = SYM iajs-3060 140 10 22809600 22809600 NUM iajs-3060 140 11 πœ‹ πœ‹ NUM iajs-3060 140 12 117649√7 117649√7 NUM iajs-3060 140 13 < < X iajs-3060 140 14 ∞ ∞ PROPN iajs-3060 140 15 ( ( PUNCT iajs-3060 140 16 35 35 NUM iajs-3060 140 17 ) ) PUNCT iajs-3060 140 18 to to PART iajs-3060 140 19 obtain obtain VERB iajs-3060 140 20 a a DET iajs-3060 140 21 wavelet wavelet NOUN iajs-3060 140 22 πœ“(𝑑 πœ“(𝑑 PROPN iajs-3060 140 23 ) ) PUNCT iajs-3060 140 24 satisfying satisfy VERB iajs-3060 140 25 the the DET iajs-3060 140 26 unit unit NOUN iajs-3060 140 27 energy energy NOUN iajs-3060 140 28 condition condition NOUN iajs-3060 140 29 in in ADP iajs-3060 140 30 ( ( PUNCT iajs-3060 140 31 8) 8) NUM iajs-3060 140 32 , , PUNCT iajs-3060 140 33 it it PRON iajs-3060 140 34 is be AUX iajs-3060 140 35 necessary necessary ADJ iajs-3060 140 36 to to PART iajs-3060 140 37 multiply multiply VERB iajs-3060 140 38 the the DET iajs-3060 140 39 proposed propose VERB iajs-3060 140 40 wavelet wavelet NOUN iajs-3060 140 41 function function NOUN iajs-3060 140 42 obtained obtain VERB iajs-3060 140 43 in in ADP iajs-3060 140 44 ( ( PUNCT iajs-3060 140 45 26 26 NUM iajs-3060 140 46 ) ) PUNCT iajs-3060 140 47 by by ADP iajs-3060 140 48 the the DET iajs-3060 140 49 normalizing normalizing ADJ iajs-3060 140 50 coefficient coefficient NOUN iajs-3060 140 51 ( ( PUNCT iajs-3060 140 52 𝑁𝐢 𝑁𝐢 PROPN iajs-3060 140 53 ) ) PUNCT iajs-3060 141 1 [ [ X iajs-3060 141 2 24 24 NUM iajs-3060 141 3 ] ] PUNCT iajs-3060 141 4 . . PUNCT iajs-3060 142 1 𝑁𝐢 𝑁𝐢 PROPN iajs-3060 142 2 = = SYM iajs-3060 142 3 1 1 NUM iajs-3060 142 4 √∫ √∫ NOUN iajs-3060 142 5 |πœ“(𝑑)|2∞ |πœ“(𝑑)|2∞ NOUN iajs-3060 142 6 βˆ’βˆž βˆ’βˆž ADP iajs-3060 142 7 𝑑𝑑 𝑑𝑑 ADP iajs-3060 142 8 ( ( PUNCT iajs-3060 142 9 36 36 NUM iajs-3060 142 10 ) ) SYM iajs-3060 142 11 3 3 NUM iajs-3060 142 12 data datum NOUN iajs-3060 142 13 analysis analysis NOUN iajs-3060 142 14 and and CCONJ iajs-3060 142 15 results result VERB iajs-3060 142 16 3.1 3.1 NUM iajs-3060 142 17 data datum NOUN iajs-3060 142 18 description description NOUN iajs-3060 142 19 in in ADP iajs-3060 142 20 order order NOUN iajs-3060 142 21 to to PART iajs-3060 142 22 illustrate illustrate VERB iajs-3060 142 23 an an DET iajs-3060 142 24 appropriate appropriate ADJ iajs-3060 142 25 model model NOUN iajs-3060 142 26 , , PUNCT iajs-3060 142 27 the the DET iajs-3060 142 28 average average NOUN iajs-3060 142 29 of of ADP iajs-3060 142 30 daily daily ADJ iajs-3060 142 31 wind wind NOUN iajs-3060 142 32 speed speed NOUN iajs-3060 142 33 ( ( PUNCT iajs-3060 142 34 m m NOUN iajs-3060 142 35 / / SYM iajs-3060 142 36 s s PART iajs-3060 142 37 ) ) PUNCT iajs-3060 142 38 data datum NOUN iajs-3060 142 39 sets set NOUN iajs-3060 142 40 are be AUX iajs-3060 142 41 collected collect VERB iajs-3060 142 42 from from ADP iajs-3060 142 43 the the DET iajs-3060 142 44 meteorological meteorological ADJ iajs-3060 142 45 directorate directorate NOUN iajs-3060 142 46 of of ADP iajs-3060 142 47 sulaimani sulaimani NOUN iajs-3060 142 48 for for ADP iajs-3060 142 49 the the DET iajs-3060 142 50 period period NOUN iajs-3060 142 51 ( ( PUNCT iajs-3060 142 52 jan jan PROPN iajs-3060 142 53 . . PROPN iajs-3060 142 54 2016dec 2016dec NUM iajs-3060 142 55 . . NOUN iajs-3060 142 56 2020 2020 NUM iajs-3060 142 57 ) ) PUNCT iajs-3060 142 58 , , PUNCT iajs-3060 142 59 have have AUX iajs-3060 142 60 been be AUX iajs-3060 142 61 used use VERB iajs-3060 142 62 matlab matlab PROPN iajs-3060 142 63 and and CCONJ iajs-3060 142 64 r r NOUN iajs-3060 142 65 programming programming NOUN iajs-3060 142 66 . . PUNCT iajs-3060 143 1 the the DET iajs-3060 143 2 plot plot NOUN iajs-3060 143 3 of of ADP iajs-3060 143 4 wind wind NOUN iajs-3060 143 5 speed speed NOUN iajs-3060 143 6 data datum NOUN iajs-3060 143 7 is be AUX iajs-3060 143 8 represented represent VERB iajs-3060 143 9 in in ADP iajs-3060 143 10 figure1 figure1 PROPN iajs-3060 143 11 . . PUNCT iajs-3060 144 1 figure figure VERB iajs-3060 144 2 1daily 1daily ADV iajs-3060 144 3 wind wind NOUN iajs-3060 144 4 speed speed NOUN iajs-3060 144 5 data datum NOUN iajs-3060 144 6 series series PROPN iajs-3060 145 1 ihjpas ihjpas PROPN iajs-3060 145 2 . . PUNCT iajs-3060 146 1 36(2)2023 36(2)2023 NUM iajs-3060 146 2 426 426 NUM iajs-3060 146 3 3.2 3.2 NUM iajs-3060 146 4 results result NOUN iajs-3060 146 5 of of ADP iajs-3060 146 6 arima arima PROPN iajs-3060 146 7 model model NOUN iajs-3060 146 8 arima arima PROPN iajs-3060 146 9 models model NOUN iajs-3060 146 10 are be AUX iajs-3060 146 11 created create VERB iajs-3060 146 12 automatically automatically ADV iajs-3060 146 13 using use VERB iajs-3060 146 14 r r NOUN iajs-3060 146 15 's 's PART iajs-3060 146 16 auto.arima auto.arima NUM iajs-3060 146 17 function function NOUN iajs-3060 146 18 . . PUNCT iajs-3060 147 1 𝐴𝑅𝐼𝑀𝐴(2 𝐴𝑅𝐼𝑀𝐴(2 VERB iajs-3060 147 2 , , PUNCT iajs-3060 147 3 1,1 1,1 NUM iajs-3060 147 4 ) ) PUNCT iajs-3060 147 5 is be AUX iajs-3060 147 6 the the DET iajs-3060 147 7 determined determined ADJ iajs-3060 147 8 model model NOUN iajs-3060 147 9 , , PUNCT iajs-3060 147 10 and and CCONJ iajs-3060 147 11 it it PRON iajs-3060 147 12 has have VERB iajs-3060 147 13 a a DET iajs-3060 147 14 minimum minimum ADJ iajs-3060 147 15 akaike akaike ADJ iajs-3060 147 16 information information NOUN iajs-3060 147 17 criterion criterion NOUN iajs-3060 147 18 ( ( PUNCT iajs-3060 147 19 aic aic PROPN iajs-3060 147 20 ) ) PUNCT iajs-3060 147 21 value value NOUN iajs-3060 147 22 ( ( PUNCT iajs-3060 147 23 5110.9 5110.9 NUM iajs-3060 147 24 ) ) PUNCT iajs-3060 147 25 . . PUNCT iajs-3060 148 1 this this PRON iajs-3060 148 2 means mean VERB iajs-3060 148 3 that that SCONJ iajs-3060 148 4 the the DET iajs-3060 148 5 𝐴𝑅𝐼𝑀𝐴(2 𝐴𝑅𝐼𝑀𝐴(2 ADJ iajs-3060 148 6 , , PUNCT iajs-3060 148 7 1,1 1,1 NUM iajs-3060 148 8 ) ) PUNCT iajs-3060 148 9 model model NOUN iajs-3060 148 10 is be AUX iajs-3060 148 11 the the DET iajs-3060 148 12 best good ADJ iajs-3060 148 13 among among ADP iajs-3060 148 14 all all DET iajs-3060 148 15 the the DET iajs-3060 148 16 other other ADJ iajs-3060 148 17 models model NOUN iajs-3060 148 18 . . PUNCT iajs-3060 149 1 the the DET iajs-3060 149 2 parameters parameter NOUN iajs-3060 149 3 have have AUX iajs-3060 149 4 been be AUX iajs-3060 149 5 estimated estimate VERB iajs-3060 149 6 using use VERB iajs-3060 149 7 r r NOUN iajs-3060 149 8 statistical statistical ADJ iajs-3060 149 9 software software NOUN iajs-3060 149 10 . . PUNCT iajs-3060 150 1 the the DET iajs-3060 150 2 model model NOUN iajs-3060 150 3 's 's PART iajs-3060 150 4 parameter parameter NOUN iajs-3060 150 5 estimates estimate NOUN iajs-3060 150 6 are be AUX iajs-3060 150 7 given give VERB iajs-3060 150 8 in in ADP iajs-3060 150 9 table table NOUN iajs-3060 150 10 1 1 NUM iajs-3060 150 11 . . PUNCT iajs-3060 150 12 table table NOUN iajs-3060 150 13 1the 1the PROPN iajs-3060 150 14 estimates estimate NOUN iajs-3060 150 15 of of ADP iajs-3060 150 16 𝐴𝑅𝐼𝑀𝐴(2 𝐴𝑅𝐼𝑀𝐴(2 ADJ iajs-3060 150 17 , , PUNCT iajs-3060 150 18 1,1 1,1 NUM iajs-3060 150 19 ) ) PUNCT iajs-3060 150 20 model model NOUN iajs-3060 150 21 coefficients coefficient NOUN iajs-3060 150 22 value value PROPN iajs-3060 150 23 s.e s.e PROPN iajs-3060 150 24 ar1 ar1 PROPN iajs-3060 150 25 0.4581 0.4581 PROPN iajs-3060 150 26 0.0240 0.0240 NUM iajs-3060 150 27 ar2 ar2 PROPN iajs-3060 150 28 -0.0975 -0.0975 PROPN iajs-3060 150 29 0.0240 0.0240 NUM iajs-3060 150 30 ma1 ma1 PROPN iajs-3060 150 31 -0.969 -0.969 PROPN iajs-3060 150 32 0.0065 0.0065 PROPN iajs-3060 150 33 since since SCONJ iajs-3060 150 34 the the DET iajs-3060 150 35 model model NOUN iajs-3060 150 36 is be AUX iajs-3060 150 37 : : PUNCT iajs-3060 150 38 ( ( PUNCT iajs-3060 150 39 1 1 NUM iajs-3060 150 40 βˆ’ βˆ’ NUM iajs-3060 150 41 0.4581𝐡 0.4581𝐡 NUM iajs-3060 151 1 + + CCONJ iajs-3060 151 2 0.0975 0.0975 NUM iajs-3060 151 3 𝐡2)(1 𝐡2)(1 SYM iajs-3060 151 4 βˆ’ βˆ’ NOUN iajs-3060 151 5 𝐡)𝑦𝑑 𝐡)𝑦𝑑 NOUN iajs-3060 151 6 = = SYM iajs-3060 151 7 𝛿 𝛿 NOUN iajs-3060 151 8 + + X iajs-3060 151 9 ( ( PUNCT iajs-3060 151 10 1 1 NUM iajs-3060 151 11 + + NUM iajs-3060 151 12 0.969 0.969 NUM iajs-3060 151 13 𝐡)π‘Žπ‘‘ 𝐡)π‘Žπ‘‘ PROPN iajs-3060 151 14 ( ( PUNCT iajs-3060 151 15 37 37 NUM iajs-3060 151 16 ) ) PUNCT iajs-3060 151 17 after after ADP iajs-3060 151 18 estimation estimation NOUN iajs-3060 151 19 the the DET iajs-3060 151 20 parameters parameter NOUN iajs-3060 151 21 the the DET iajs-3060 151 22 box box NOUN iajs-3060 151 23 - - PUNCT iajs-3060 151 24 ljung ljung VERB iajs-3060 151 25 𝑄 𝑄 PROPN iajs-3060 151 26 statistic statistic NOUN iajs-3060 151 27 is be AUX iajs-3060 151 28 used use VERB iajs-3060 151 29 to to PART iajs-3060 151 30 verify verify VERB iajs-3060 151 31 the the DET iajs-3060 151 32 model model NOUN iajs-3060 151 33 's 's PART iajs-3060 151 34 overall overall ADJ iajs-3060 151 35 adequacy adequacy NOUN iajs-3060 151 36 . . PUNCT iajs-3060 152 1 the the DET iajs-3060 152 2 q q PROPN iajs-3060 152 3 statistic statistic NOUN iajs-3060 152 4 as as SCONJ iajs-3060 152 5 follows follow VERB iajs-3060 152 6 : : PUNCT iajs-3060 152 7 𝑄 𝑄 PROPN iajs-3060 152 8 = = PUNCT iajs-3060 152 9 𝑛(𝑛 𝑛(𝑛 PROPN iajs-3060 152 10 + + CCONJ iajs-3060 152 11 2 2 X iajs-3060 152 12 ) ) PUNCT iajs-3060 152 13 βˆ‘ βˆ‘ ADV iajs-3060 152 14 π‘Ÿ2(π‘˜ π‘Ÿ2(π‘˜ NUM iajs-3060 152 15 ) ) PUNCT iajs-3060 152 16 π‘›βˆ’π‘˜ π‘›βˆ’π‘˜ NOUN iajs-3060 152 17 𝐾 𝐾 NOUN iajs-3060 152 18 π‘˜=1 π‘˜=1 PROPN iajs-3060 152 19 ( ( PUNCT iajs-3060 152 20 38 38 NUM iajs-3060 152 21 ) ) PUNCT iajs-3060 152 22 where where SCONJ iajs-3060 152 23 , , PUNCT iajs-3060 152 24 π‘Ÿ(π‘˜ π‘Ÿ(π‘˜ PROPN iajs-3060 152 25 ) ) PUNCT iajs-3060 152 26 is be AUX iajs-3060 152 27 the the DET iajs-3060 152 28 residual residual ADJ iajs-3060 152 29 autocorrelation autocorrelation NOUN iajs-3060 152 30 at at ADP iajs-3060 152 31 lag lag PROPN iajs-3060 152 32 π‘˜ π‘˜ PROPN iajs-3060 152 33 , , PUNCT iajs-3060 152 34 𝑛 𝑛 PROPN iajs-3060 152 35 is be AUX iajs-3060 152 36 the the DET iajs-3060 152 37 number number NOUN iajs-3060 152 38 of of ADP iajs-3060 152 39 residuals residual NOUN iajs-3060 152 40 and and CCONJ iajs-3060 152 41 𝐾is 𝐾is ADP iajs-3060 152 42 the the DET iajs-3060 152 43 number number NOUN iajs-3060 152 44 of of ADP iajs-3060 152 45 lags lag NOUN iajs-3060 152 46 . . PUNCT iajs-3060 153 1 because because SCONJ iajs-3060 153 2 the the DET iajs-3060 153 3 p p NOUN iajs-3060 153 4 - - PUNCT iajs-3060 153 5 value value NOUN iajs-3060 153 6 of of ADP iajs-3060 153 7 the the DET iajs-3060 153 8 test test NOUN iajs-3060 153 9 is be AUX iajs-3060 153 10 ( ( PUNCT iajs-3060 153 11 0.2663 0.2663 NUM iajs-3060 153 12 ) ) PUNCT iajs-3060 153 13 and and CCONJ iajs-3060 153 14 greater great ADJ iajs-3060 153 15 than than ADP iajs-3060 153 16 ( ( PUNCT iajs-3060 153 17 0.05 0.05 NUM iajs-3060 153 18 ) ) PUNCT iajs-3060 153 19 , , PUNCT iajs-3060 153 20 and and CCONJ iajs-3060 153 21 the the DET iajs-3060 153 22 value value NOUN iajs-3060 153 23 of of ADP iajs-3060 153 24 box box NOUN iajs-3060 153 25 - - PUNCT iajs-3060 153 26 ljung ljung ADJ iajs-3060 153 27 tests test NOUN iajs-3060 153 28 is be AUX iajs-3060 153 29 ( ( PUNCT iajs-3060 153 30 23.47 23.47 NUM iajs-3060 153 31 ) ) PUNCT iajs-3060 153 32 , , PUNCT iajs-3060 153 33 this this DET iajs-3060 153 34 𝐴𝑅𝐼𝑀𝐴 𝐴𝑅𝐼𝑀𝐴 PROPN iajs-3060 153 35 model model NOUN iajs-3060 153 36 is be AUX iajs-3060 153 37 appropriate appropriate ADJ iajs-3060 153 38 for for ADP iajs-3060 153 39 future future ADJ iajs-3060 153 40 forecasting forecasting NOUN iajs-3060 153 41 . . PUNCT iajs-3060 154 1 for for ADP iajs-3060 154 2 testing test VERB iajs-3060 154 3 the the DET iajs-3060 154 4 accuracy accuracy NOUN iajs-3060 154 5 of of ADP iajs-3060 154 6 the the DET iajs-3060 154 7 model model NOUN iajs-3060 154 8 , , PUNCT iajs-3060 154 9 we we PRON iajs-3060 154 10 analysed analyse VERB iajs-3060 154 11 the the DET iajs-3060 154 12 performance performance NOUN iajs-3060 154 13 of of ADP iajs-3060 154 14 model model NOUN iajs-3060 154 15 is be AUX iajs-3060 154 16 evaluated evaluate VERB iajs-3060 154 17 by by ADP iajs-3060 154 18 using use VERB iajs-3060 154 19 the the DET iajs-3060 154 20 mean mean ADJ iajs-3060 154 21 absolute absolute ADJ iajs-3060 154 22 error error NOUN iajs-3060 154 23 ( ( PUNCT iajs-3060 154 24 mae mae PROPN iajs-3060 154 25 ) ) PUNCT iajs-3060 154 26 , , PUNCT iajs-3060 154 27 mean mean VERB iajs-3060 154 28 absolute absolute ADJ iajs-3060 154 29 scaled scale VERB iajs-3060 154 30 error error NOUN iajs-3060 154 31 ( ( PUNCT iajs-3060 154 32 mase mase PROPN iajs-3060 154 33 ) ) PUNCT iajs-3060 154 34 , , PUNCT iajs-3060 154 35 and and CCONJ iajs-3060 154 36 root root NOUN iajs-3060 154 37 mean mean NOUN iajs-3060 154 38 squares square NOUN iajs-3060 154 39 error error NOUN iajs-3060 154 40 ( ( PUNCT iajs-3060 154 41 rmse rmse NOUN iajs-3060 154 42 ) ) PUNCT iajs-3060 155 1 [ [ X iajs-3060 155 2 8 8 NUM iajs-3060 155 3 , , PUNCT iajs-3060 155 4 11 11 NUM iajs-3060 155 5 ] ] PUNCT iajs-3060 155 6 . . PUNCT iajs-3060 156 1 mae mae PROPN iajs-3060 157 1 = = PROPN iajs-3060 157 2 1 1 NUM iajs-3060 157 3 n n NUM iajs-3060 157 4 βˆ‘ βˆ‘ PROPN iajs-3060 157 5 |yt |yt NUM iajs-3060 157 6 βˆ’ βˆ’ PROPN iajs-3060 157 7 ytΜ‚|n ytΜ‚|n PROPN iajs-3060 157 8 t=1 t=1 PROPN iajs-3060 157 9 ( ( PUNCT iajs-3060 157 10 39 39 NUM iajs-3060 157 11 ) ) PUNCT iajs-3060 157 12 mase mase NOUN iajs-3060 157 13 = = SYM iajs-3060 157 14 1 1 NUM iajs-3060 157 15 n n PRON iajs-3060 157 16 βˆ‘ βˆ‘ ADV iajs-3060 157 17 |ytβˆ’ytΜ‚|n |ytβˆ’ytΜ‚|n VERB iajs-3060 157 18 t=1 t=1 PROPN iajs-3060 157 19 1 1 NUM iajs-3060 157 20 nβˆ’2 nβˆ’2 PROPN iajs-3060 157 21 βˆ‘ βˆ‘ PROPN iajs-3060 157 22 |ytβˆ’ytβˆ’2|n |ytβˆ’ytβˆ’2|n PROPN iajs-3060 157 23 t=2 t=2 PROPN iajs-3060 157 24 ( ( PUNCT iajs-3060 157 25 40 40 NUM iajs-3060 157 26 ) ) PUNCT iajs-3060 157 27 rmse rmse NOUN iajs-3060 158 1 = = PUNCT iajs-3060 158 2 [ [ PUNCT iajs-3060 158 3 1 1 NUM iajs-3060 158 4 n n NOUN iajs-3060 158 5 βˆ‘ βˆ‘ PUNCT iajs-3060 158 6 ( ( PUNCT iajs-3060 158 7 yt yt X iajs-3060 158 8 βˆ’ βˆ’ PROPN iajs-3060 158 9 ytΜ‚ ytΜ‚ PROPN iajs-3060 158 10 ) ) PUNCT iajs-3060 158 11 2n 2n NUM iajs-3060 158 12 t=1 t=1 ADV iajs-3060 158 13 ] ] PUNCT iajs-3060 158 14 1 1 NUM iajs-3060 158 15 2 2 NUM iajs-3060 158 16 ( ( PUNCT iajs-3060 158 17 41 41 NUM iajs-3060 158 18 ) ) PUNCT iajs-3060 158 19 where where SCONJ iajs-3060 158 20 π‘Œ π‘Œ PROPN iajs-3060 158 21 οΏ½ οΏ½ PROPN iajs-3060 158 22 Μ‚ Μ‚ VERB iajs-3060 158 23 οΏ½ οΏ½ NOUN iajs-3060 158 24 is be AUX iajs-3060 158 25 the the DET iajs-3060 158 26 predicted predict VERB iajs-3060 158 27 value value NOUN iajs-3060 158 28 , , PUNCT iajs-3060 158 29 π‘Œπ‘‘ π‘Œπ‘‘ PROPN iajs-3060 158 30 is be AUX iajs-3060 158 31 the the DET iajs-3060 158 32 actual actual ADJ iajs-3060 158 33 value value NOUN iajs-3060 158 34 , , PUNCT iajs-3060 158 35 and and CCONJ iajs-3060 158 36 𝑛 𝑛 PROPN iajs-3060 158 37 is be AUX iajs-3060 158 38 the the DET iajs-3060 158 39 number number NOUN iajs-3060 158 40 of of ADP iajs-3060 158 41 observations observation NOUN iajs-3060 158 42 . . PUNCT iajs-3060 159 1 3.3 3.3 NUM iajs-3060 159 2 results result NOUN iajs-3060 159 3 of of ADP iajs-3060 159 4 wavelet wavelet NOUN iajs-3060 159 5 - - PUNCT iajs-3060 159 6 arima arima NOUN iajs-3060 159 7 we we PRON iajs-3060 159 8 used use VERB iajs-3060 159 9 proposed propose VERB iajs-3060 159 10 wavelet wavelet NOUN iajs-3060 159 11 , , PUNCT iajs-3060 159 12 golden golden ADJ iajs-3060 159 13 hat hat NOUN iajs-3060 159 14 , , PUNCT iajs-3060 159 15 mexican mexican ADJ iajs-3060 159 16 hat hat NOUN iajs-3060 159 17 , , PUNCT iajs-3060 159 18 daubechies daubechie NOUN iajs-3060 159 19 , , PUNCT iajs-3060 159 20 and and CCONJ iajs-3060 159 21 coiflet coiflet VERB iajs-3060 159 22 to to PART iajs-3060 159 23 transform transform VERB iajs-3060 159 24 the the DET iajs-3060 159 25 wind wind NOUN iajs-3060 159 26 speed speed NOUN iajs-3060 159 27 data datum NOUN iajs-3060 159 28 using use VERB iajs-3060 159 29 the the DET iajs-3060 159 30 continuous continuous ADJ iajs-3060 159 31 wavelet wavelet NOUN iajs-3060 159 32 transform transform NOUN iajs-3060 159 33 ( ( PUNCT iajs-3060 159 34 cwt cwt NOUN iajs-3060 159 35 ) ) PUNCT iajs-3060 159 36 . . PUNCT iajs-3060 160 1 the the DET iajs-3060 160 2 cwt cwt NOUN iajs-3060 160 3 was be AUX iajs-3060 160 4 used use VERB iajs-3060 160 5 up up ADP iajs-3060 160 6 to to ADP iajs-3060 160 7 64 64 NUM iajs-3060 160 8 scales scale NOUN iajs-3060 160 9 , , PUNCT iajs-3060 160 10 and and CCONJ iajs-3060 160 11 the the DET iajs-3060 160 12 average average NOUN iajs-3060 160 13 of of ADP iajs-3060 160 14 all all DET iajs-3060 160 15 wavelet wavelet NOUN iajs-3060 160 16 coefficients coefficient NOUN iajs-3060 160 17 was be AUX iajs-3060 160 18 computed compute VERB iajs-3060 160 19 . . PUNCT iajs-3060 161 1 matlab matlab PROPN iajs-3060 161 2 was be AUX iajs-3060 161 3 used use VERB iajs-3060 161 4 to to PART iajs-3060 161 5 implement implement VERB iajs-3060 161 6 the the DET iajs-3060 161 7 cwt cwt NOUN iajs-3060 161 8 . . PUNCT iajs-3060 162 1 an an DET iajs-3060 162 2 arima arima PROPN iajs-3060 162 3 model model NOUN iajs-3060 162 4 is be AUX iajs-3060 162 5 fitted fit VERB iajs-3060 162 6 after after ADP iajs-3060 162 7 the the DET iajs-3060 162 8 decomposition decomposition NOUN iajs-3060 162 9 . . PUNCT iajs-3060 163 1 other other ADJ iajs-3060 163 2 wavelet wavelet NOUN iajs-3060 163 3 functions function NOUN iajs-3060 163 4 ' ' PART iajs-3060 163 5 results result NOUN iajs-3060 163 6 were be AUX iajs-3060 163 7 investigated investigate VERB iajs-3060 163 8 for for ADP iajs-3060 163 9 comparison comparison NOUN iajs-3060 163 10 with with ADP iajs-3060 163 11 the the DET iajs-3060 163 12 proposed propose VERB iajs-3060 163 13 wavelet wavelet NOUN iajs-3060 163 14 - - PUNCT iajs-3060 163 15 arima arima PROPN iajs-3060 163 16 . . PUNCT iajs-3060 163 17 table table NOUN iajs-3060 163 18 ( ( PUNCT iajs-3060 163 19 2 2 X iajs-3060 163 20 ) ) PUNCT iajs-3060 163 21 shows show VERB iajs-3060 163 22 that that SCONJ iajs-3060 163 23 the the DET iajs-3060 163 24 ihjpas ihjpa NOUN iajs-3060 163 25 . . PUNCT iajs-3060 164 1 36(2)2023 36(2)2023 NUM iajs-3060 164 2 427 427 NUM iajs-3060 164 3 ( ( PUNCT iajs-3060 164 4 mae mae PROPN iajs-3060 164 5 ) ) PUNCT iajs-3060 164 6 , , PUNCT iajs-3060 164 7 ( ( PUNCT iajs-3060 164 8 mase mase PROPN iajs-3060 164 9 ) ) PUNCT iajs-3060 164 10 , , PUNCT iajs-3060 164 11 and and CCONJ iajs-3060 164 12 ( ( PUNCT iajs-3060 164 13 rmse rmse NOUN iajs-3060 164 14 ) ) PUNCT iajs-3060 164 15 , , PUNCT iajs-3060 164 16 of of ADP iajs-3060 164 17 the the DET iajs-3060 164 18 proposed propose VERB iajs-3060 164 19 wavelet wavelet NOUN iajs-3060 164 20 - - PUNCT iajs-3060 164 21 arima arima NOUN iajs-3060 164 22 model model NOUN iajs-3060 164 23 are be AUX iajs-3060 164 24 fewer few ADJ iajs-3060 164 25 than than ADP iajs-3060 164 26 the the DET iajs-3060 164 27 mae mae PROPN iajs-3060 164 28 , , PUNCT iajs-3060 164 29 rmse rmse NOUN iajs-3060 164 30 , , PUNCT iajs-3060 164 31 and and CCONJ iajs-3060 164 32 mase mase PROPN iajs-3060 164 33 of of ADP iajs-3060 164 34 the the DET iajs-3060 164 35 direct direct ADJ iajs-3060 164 36 use use NOUN iajs-3060 164 37 of of ADP iajs-3060 164 38 arima arima PROPN iajs-3060 164 39 model model NOUN iajs-3060 164 40 , , PUNCT iajs-3060 164 41 indicating indicate VERB iajs-3060 164 42 that that SCONJ iajs-3060 164 43 the the DET iajs-3060 164 44 suggested suggest VERB iajs-3060 164 45 waveletarima waveletarima NOUN iajs-3060 164 46 model model NOUN iajs-3060 164 47 has have VERB iajs-3060 164 48 better well ADJ iajs-3060 164 49 predictive predictive ADJ iajs-3060 164 50 capacity capacity NOUN iajs-3060 164 51 . . PUNCT iajs-3060 165 1 it it PRON iajs-3060 165 2 signifies signify VERB iajs-3060 165 3 that that SCONJ iajs-3060 165 4 the the DET iajs-3060 165 5 proposed propose VERB iajs-3060 165 6 wavelet wavelet NOUN iajs-3060 165 7 - - PUNCT iajs-3060 165 8 arima arima NOUN iajs-3060 165 9 approach approach NOUN iajs-3060 165 10 outperforms outperform VERB iajs-3060 165 11 the the DET iajs-3060 165 12 direct direct ADJ iajs-3060 165 13 usage usage NOUN iajs-3060 165 14 of of ADP iajs-3060 165 15 the the DET iajs-3060 165 16 arima arima NOUN iajs-3060 165 17 model model NOUN iajs-3060 165 18 for for ADP iajs-3060 165 19 the the DET iajs-3060 165 20 provided provide VERB iajs-3060 165 21 data datum NOUN iajs-3060 165 22 set set VERB iajs-3060 165 23 . . PUNCT iajs-3060 166 1 table table NOUN iajs-3060 166 2 2the 2the PROPN iajs-3060 166 3 estimates estimate NOUN iajs-3060 166 4 of of ADP iajs-3060 166 5 𝐴𝑅𝐼𝑀𝐴(2 𝐴𝑅𝐼𝑀𝐴(2 ADJ iajs-3060 166 6 , , PUNCT iajs-3060 166 7 1,1 1,1 NUM iajs-3060 166 8 ) ) PUNCT iajs-3060 166 9 model model NOUN iajs-3060 166 10 model model PROPN iajs-3060 166 11 mae mae PROPN iajs-3060 166 12 mase mase PROPN iajs-3060 166 13 rmse rmse PROPN iajs-3060 166 14 arima arima PROPN iajs-3060 166 15 proposed propose VERB iajs-3060 166 16 wavelet wavelet NOUN iajs-3060 166 17 - - PUNCT iajs-3060 166 18 arima arima PROPN iajs-3060 166 19 0.68824 0.68824 NUM iajs-3060 166 20 0.03363 0.03363 NUM iajs-3060 166 21 0.86761 0.86761 NUM iajs-3060 166 22 0.56867 0.56867 NUM iajs-3060 166 23 0.97999 0.97999 NUM iajs-3060 166 24 0.04553 0.04553 NUM iajs-3060 166 25 table table NOUN iajs-3060 166 26 3comparison 3comparison NUM iajs-3060 166 27 of of ADP iajs-3060 166 28 wavelet wavelet NOUN iajs-3060 166 29 - - PUNCT iajs-3060 166 30 arima arima NOUN iajs-3060 166 31 mother mother NOUN iajs-3060 166 32 wavelet wavelet PROPN iajs-3060 166 33 mae mae PROPN iajs-3060 166 34 mase mase PROPN iajs-3060 166 35 rmse rmse PROPN iajs-3060 166 36 proposed propose VERB iajs-3060 166 37 wavelet wavelet PROPN iajs-3060 166 38 golden golden ADJ iajs-3060 166 39 hat hat NOUN iajs-3060 166 40 mexican mexican ADJ iajs-3060 166 41 hat hat NOUN iajs-3060 166 42 daubechies daubechie NOUN iajs-3060 166 43 1(haar 1(haar NUM iajs-3060 166 44 ) ) PUNCT iajs-3060 166 45 daubechies daubechie NOUN iajs-3060 166 46 2 2 NUM iajs-3060 166 47 daubechies daubechie NOUN iajs-3060 166 48 3 3 NUM iajs-3060 166 49 daubechies daubechie NOUN iajs-3060 166 50 4 4 NUM iajs-3060 166 51 daubechies daubechie NOUN iajs-3060 166 52 5 5 NUM iajs-3060 166 53 coiflet1 coiflet1 NOUN iajs-3060 166 54 coiflet2 coiflet2 NOUN iajs-3060 166 55 coiflet3 coiflet3 ADJ iajs-3060 166 56 coiflet4 coiflet4 X iajs-3060 166 57 coiflet coiflet VERB iajs-3060 166 58 5 5 NUM iajs-3060 166 59 0.03363 0.03363 NUM iajs-3060 166 60 0.04373 0.04373 NUM iajs-3060 166 61 0.05917 0.05917 NUM iajs-3060 166 62 0.26526 0.26526 NUM iajs-3060 166 63 0.09405 0.09405 NUM iajs-3060 166 64 0.08737 0.08737 NUM iajs-3060 166 65 0.09419 0.09419 NUM iajs-3060 166 66 0.07266 0.07266 NUM iajs-3060 166 67 0.12240 0.12240 NUM iajs-3060 166 68 0.07794 0.07794 NUM iajs-3060 167 1 0.06637 0.06637 NUM iajs-3060 167 2 0.07659 0.07659 NUM iajs-3060 167 3 0.05917 0.05917 NUM iajs-3060 167 4 0.56867 0.56867 NUM iajs-3060 167 5 0.63261 0.63261 NUM iajs-3060 167 6 0.57855 0.57855 NUM iajs-3060 167 7 0.82055 0.82055 NUM iajs-3060 167 8 0.47276 0.47276 NUM iajs-3060 167 9 0.52716 0.52716 NUM iajs-3060 167 10 0.52482 0.52482 NUM iajs-3060 167 11 0.47772 0.47772 NUM iajs-3060 167 12 0.58794 0.58794 NUM iajs-3060 167 13 0.47228 0.47228 NUM iajs-3060 167 14 0.44251 0.44251 NUM iajs-3060 167 15 0.50719 0.50719 NUM iajs-3060 167 16 0.42861 0.42861 NUM iajs-3060 167 17 0.04553 0.04553 NUM iajs-3060 168 1 0.05947 0.05947 NUM iajs-3060 168 2 0.05267 0.05267 NUM iajs-3060 168 3 0.32138 0.32138 NUM iajs-3060 168 4 0.13043 0.13043 NUM iajs-3060 168 5 0.12207 0.12207 NUM iajs-3060 168 6 0.12841 0.12841 NUM iajs-3060 168 7 0.10203 0.10203 NUM iajs-3060 168 8 0.17193 0.17193 NUM iajs-3060 168 9 0.10910 0.10910 NUM iajs-3060 168 10 0.09289 0.09289 NUM iajs-3060 168 11 0.10880 0.10880 NUM iajs-3060 168 12 0.08277 0.08277 NUM iajs-3060 168 13 4 4 NUM iajs-3060 168 14 . . PUNCT iajs-3060 168 15 conclusions conclusion NOUN iajs-3060 168 16 the the DET iajs-3060 168 17 aims aim NOUN iajs-3060 168 18 of of ADP iajs-3060 168 19 this this DET iajs-3060 168 20 study study NOUN iajs-3060 168 21 are be AUX iajs-3060 168 22 to to PART iajs-3060 168 23 propose propose VERB iajs-3060 168 24 a a DET iajs-3060 168 25 wavelet wavelet NOUN iajs-3060 168 26 function function NOUN iajs-3060 168 27 , , PUNCT iajs-3060 168 28 as as ADV iajs-3060 168 29 well well ADV iajs-3060 168 30 as as ADP iajs-3060 168 31 to to PART iajs-3060 168 32 compare compare VERB iajs-3060 168 33 arima arima PROPN iajs-3060 168 34 and and CCONJ iajs-3060 168 35 wavelet𝐴𝑅𝐼𝑀𝐴 wavelet𝐴𝑅𝐼𝑀𝐴 PROPN iajs-3060 168 36 to to PART iajs-3060 168 37 determine determine VERB iajs-3060 168 38 the the DET iajs-3060 168 39 best well ADV iajs-3060 168 40 - - PUNCT iajs-3060 168 41 fitted fit VERB iajs-3060 168 42 model model NOUN iajs-3060 168 43 . . PUNCT iajs-3060 169 1 the the DET iajs-3060 169 2 cwt cwt NOUN iajs-3060 169 3 was be AUX iajs-3060 169 4 used use VERB iajs-3060 169 5 to to PART iajs-3060 169 6 decompose decompose VERB iajs-3060 169 7 the the DET iajs-3060 169 8 data datum NOUN iajs-3060 169 9 . . PUNCT iajs-3060 170 1 from from ADP iajs-3060 170 2 the the DET iajs-3060 170 3 previous previous ADJ iajs-3060 170 4 results result NOUN iajs-3060 170 5 , , PUNCT iajs-3060 170 6 it it PRON iajs-3060 170 7 is be AUX iajs-3060 170 8 clear clear ADJ iajs-3060 170 9 that that SCONJ iajs-3060 170 10 the the DET iajs-3060 170 11 model model NOUN iajs-3060 170 12 for for ADP iajs-3060 170 13 daily daily ADJ iajs-3060 170 14 wind wind NOUN iajs-3060 170 15 speed speed NOUN iajs-3060 170 16 forecasting forecasting NOUN iajs-3060 170 17 is be AUX iajs-3060 170 18 the the DET iajs-3060 170 19 𝐴𝑅𝐼𝑀𝐴(2 𝐴𝑅𝐼𝑀𝐴(2 ADJ iajs-3060 170 20 , , PUNCT iajs-3060 170 21 1,1 1,1 NUM iajs-3060 170 22 ) ) PUNCT iajs-3060 170 23 model model NOUN iajs-3060 170 24 , , PUNCT iajs-3060 170 25 and and CCONJ iajs-3060 170 26 the the DET iajs-3060 170 27 wavelet𝐴𝑅𝐼𝑀𝐴 wavelet𝐴𝑅𝐼𝑀𝐴 PROPN iajs-3060 170 28 model model NOUN iajs-3060 170 29 is be AUX iajs-3060 170 30 better well ADJ iajs-3060 170 31 than than ADP iajs-3060 170 32 direct direct ADJ iajs-3060 170 33 use use NOUN iajs-3060 170 34 of of ADP iajs-3060 170 35 𝐴𝑅𝐼𝑀𝐴 𝐴𝑅𝐼𝑀𝐴 PROPN iajs-3060 170 36 for for ADP iajs-3060 170 37 daily daily ADJ iajs-3060 170 38 wind wind NOUN iajs-3060 170 39 speed speed NOUN iajs-3060 170 40 forecasting forecasting NOUN iajs-3060 170 41 . . PUNCT iajs-3060 171 1 as as SCONJ iajs-3060 171 2 compared compare VERB iajs-3060 171 3 to to ADP iajs-3060 171 4 wavelets wavelet NOUN iajs-3060 171 5 the the DET iajs-3060 171 6 proposed propose VERB iajs-3060 171 7 wavelet wavelet NOUN iajs-3060 171 8 is be AUX iajs-3060 171 9 the the DET iajs-3060 171 10 most most ADV iajs-3060 171 11 ihjpas ihjpa NOUN iajs-3060 171 12 . . 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NOUN iajs-3060 173 7 h. h. PROPN iajs-3060 173 8 comparison comparison NOUN iajs-3060 173 9 on on ADP iajs-3060 173 10 fourier fourier NOUN iajs-3060 173 11 and and CCONJ iajs-3060 173 12 wavelet wavelet NOUN iajs-3060 173 13 transformation transformation NOUN iajs-3060 173 14 for for ADP iajs-3060 173 15 an an DET iajs-3060 173 16 ecg ecg PROPN iajs-3060 173 17 signal signal NOUN iajs-3060 173 18 . . PUNCT iajs-3060 174 1 american american PROPN iajs-3060 174 2 journal journal PROPN iajs-3060 174 3 of of ADP iajs-3060 174 4 engineering engineering NOUN iajs-3060 174 5 research research NOUN iajs-3060 174 6 . . PUNCT iajs-3060 175 1 2017 2017 NUM iajs-3060 175 2 , , PUNCT iajs-3060 175 3 6 6 NUM iajs-3060 175 4 , , PUNCT iajs-3060 175 5 8 8 NUM iajs-3060 175 6 , , PUNCT iajs-3060 175 7 1 1 NUM iajs-3060 175 8 - - SYM iajs-3060 175 9 7 7 NUM iajs-3060 175 10 . . NOUN iajs-3060 175 11 2 2 NUM iajs-3060 175 12 . . 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PROPN iajs-3060 202 30 ; ; PUNCT iajs-3060 202 31 singh singh PROPN iajs-3060 202 32 , , PUNCT iajs-3060 202 33 v. v. PROPN iajs-3060 202 34 ; ; PUNCT iajs-3060 202 35 sun sun PROPN iajs-3060 202 36 , , PUNCT iajs-3060 202 37 f. f. PROPN iajs-3060 202 38 ; ; PUNCT iajs-3060 202 39 chen chen PROPN iajs-3060 202 40 , , PUNCT iajs-3060 202 41 y. y. PROPN iajs-3060 202 42 wavelet wavelet NOUN iajs-3060 202 43 - - PUNCT iajs-3060 202 44 based base VERB iajs-3060 202 45 hydrological hydrological ADJ iajs-3060 202 46 time time NOUN iajs-3060 202 47 series series PROPN iajs-3060 202 48 forecasting forecasting PROPN iajs-3060 202 49 . . PUNCT iajs-3060 203 1 journal journal PROPN iajs-3060 203 2 of of ADP iajs-3060 203 3 hydrologic hydrologic PROPN iajs-3060 203 4 engendering engendering NOUN iajs-3060 203 5 , , PUNCT iajs-3060 203 6 2016 2016 NUM iajs-3060 203 7 , , PUNCT iajs-3060 203 8 21 21 NUM iajs-3060 203 9 , , PUNCT iajs-3060 203 10 5 5 NUM iajs-3060 203 11 . . NOUN iajs-3060 203 12 15 15 NUM iajs-3060 203 13 . . PUNCT iajs-3060 204 1 saini saini PROPN iajs-3060 204 2 , , PUNCT iajs-3060 204 3 s. s. PROPN iajs-3060 204 4 ahuja ahuja PROPN iajs-3060 204 5 , , PUNCT iajs-3060 204 6 m. m. NOUN iajs-3060 204 7 wind wind NOUN iajs-3060 204 8 speed speed NOUN iajs-3060 204 9 prediction prediction NOUN iajs-3060 204 10 using use VERB iajs-3060 204 11 wavelet wavelet NOUN iajs-3060 204 12 transform transform NOUN iajs-3060 204 13 and and CCONJ iajs-3060 204 14 artificial artificial ADJ iajs-3060 204 15 neural neural ADJ iajs-3060 204 16 network network NOUN iajs-3060 204 17 . . PUNCT iajs-3060 205 1 ijrece ijrece PROPN iajs-3060 205 2 , , PUNCT iajs-3060 205 3 2017 2017 NUM iajs-3060 205 4 , , PUNCT iajs-3060 205 5 5 5 NUM iajs-3060 205 6 , , PUNCT iajs-3060 205 7 4 4 NUM iajs-3060 205 8 , , PUNCT iajs-3060 205 9 161 161 NUM iajs-3060 205 10 - - SYM iajs-3060 205 11 168 168 NUM iajs-3060 205 12 . . PUNCT iajs-3060 206 1 16 16 NUM iajs-3060 206 2 . . PUNCT iajs-3060 206 3 bunrit bunrit PROPN iajs-3060 206 4 , , PUNCT iajs-3060 206 5 s. s. PROPN iajs-3060 206 6 ; ; PUNCT iajs-3060 206 7 kerdprasop kerdprasop PROPN iajs-3060 206 8 , , PUNCT iajs-3060 206 9 n. n. PROPN iajs-3060 206 10 ; ; PUNCT iajs-3060 206 11 kerdprasop kerdprasop PROPN iajs-3060 206 12 , , PUNCT iajs-3060 207 1 k. k. PROPN iajs-3060 207 2 multiresolution multiresolution PROPN iajs-3060 207 3 analysis analysis NOUN iajs-3060 207 4 based base VERB iajs-3060 207 5 on on ADP iajs-3060 207 6 wavelet wavelet NOUN iajs-3060 207 7 transform transform NOUN iajs-3060 207 8 for for ADP iajs-3060 207 9 commodity commodity NOUN iajs-3060 207 10 prices price NOUN iajs-3060 207 11 time time PROPN iajs-3060 207 12 series series PROPN iajs-3060 207 13 forecasting forecasting PROPN iajs-3060 207 14 . . PUNCT iajs-3060 208 1 international international ADJ iajs-3060 208 2 journal journal PROPN iajs-3060 208 3 of of ADP iajs-3060 208 4 machine machine NOUN iajs-3060 208 5 learning learning NOUN iajs-3060 208 6 and and CCONJ iajs-3060 208 7 computing computing NOUN iajs-3060 208 8 , , PUNCT iajs-3060 208 9 2018 2018 NUM iajs-3060 208 10 , , PUNCT iajs-3060 208 11 8 8 NUM iajs-3060 208 12 , , PUNCT iajs-3060 208 13 2 2 NUM iajs-3060 208 14 , , PUNCT iajs-3060 208 15 175 175 NUM iajs-3060 208 16 - - SYM iajs-3060 208 17 180 180 NUM iajs-3060 208 18 . . PUNCT iajs-3060 208 19 17 17 NUM iajs-3060 208 20 . . PUNCT iajs-3060 209 1 gossler gossler NOUN iajs-3060 209 2 , , PUNCT iajs-3060 209 3 f. f. PROPN iajs-3060 209 4 ; ; PUNCT iajs-3060 209 5 oliveira oliveira PROPN iajs-3060 209 6 , , PUNCT iajs-3060 209 7 b. b. PROPN iajs-3060 209 8 ; ; PUNCT iajs-3060 209 9 filho filho PROPN iajs-3060 209 10 , , PUNCT iajs-3060 209 11 j. j. PROPN iajs-3060 209 12 ; ; PUNCT iajs-3060 209 13 alvarado alvarado PROPN iajs-3060 209 14 , , PUNCT iajs-3060 209 15 f. f. PROPN iajs-3060 209 16 ; ; PUNCT iajs-3060 209 17 duarte duarte PROPN iajs-3060 209 18 , , PUNCT iajs-3060 209 19 m. m. NOUN iajs-3060 209 20 and and CCONJ iajs-3060 209 21 lamblem lamblem NOUN iajs-3060 209 22 , , PUNCT iajs-3060 209 23 r. r. PROPN iajs-3060 209 24 a a DET iajs-3060 209 25 comparative comparative ADJ iajs-3060 209 26 study study NOUN iajs-3060 209 27 between between ADP iajs-3060 209 28 mexican mexican PROPN iajs-3060 209 29 and and CCONJ iajs-3060 209 30 golden golden ADJ iajs-3060 209 31 hat hat NOUN iajs-3060 209 32 wavelets wavelet NOUN iajs-3060 209 33 . . PUNCT iajs-3060 210 1 proceeding proceeding NOUN iajs-3060 210 2 series series NOUN iajs-3060 210 3 of of ADP iajs-3060 210 4 the the DET iajs-3060 210 5 brazilian brazilian ADJ iajs-3060 210 6 society society NOUN iajs-3060 210 7 of of ADP iajs-3060 210 8 computational computational ADJ iajs-3060 210 9 and and CCONJ iajs-3060 210 10 applied applied ADJ iajs-3060 210 11 mathematics mathematic NOUN iajs-3060 210 12 , , PUNCT iajs-3060 210 13 2018 2018 NUM iajs-3060 210 14 , , PUNCT iajs-3060 210 15 6 6 NUM iajs-3060 210 16 , , PUNCT iajs-3060 210 17 2 2 NUM iajs-3060 210 18 , , PUNCT iajs-3060 210 19 1 1 NUM iajs-3060 210 20 - - SYM iajs-3060 210 21 7 7 NUM iajs-3060 210 22 . . NOUN iajs-3060 210 23 18 18 NUM iajs-3060 210 24 . . PUNCT iajs-3060 211 1 gossler gossler NOUN iajs-3060 211 2 , , PUNCT iajs-3060 211 3 f. f. PROPN iajs-3060 211 4 ; ; PUNCT iajs-3060 211 5 oliveira oliveira PROPN iajs-3060 211 6 , , PUNCT iajs-3060 211 7 b. b. PROPN iajs-3060 211 8 ; ; PUNCT iajs-3060 211 9 filho filho PROPN iajs-3060 211 10 , , PUNCT iajs-3060 211 11 j. j. PROPN iajs-3060 211 12 ; ; PUNCT iajs-3060 211 13 alvarado alvarado PROPN iajs-3060 211 14 , , PUNCT iajs-3060 211 15 f. f. PROPN iajs-3060 211 16 ; ; PUNCT iajs-3060 211 17 lamblem lamblem PROPN iajs-3060 211 18 , , PUNCT iajs-3060 211 19 r. r. PROPN iajs-3060 211 20 gaussian gaussian PROPN iajs-3060 211 21 and and CCONJ iajs-3060 211 22 golden golden ADJ iajs-3060 211 23 wavelets wavelet NOUN iajs-3060 211 24 : : PUNCT iajs-3060 211 25 a a DET iajs-3060 211 26 comparative comparative ADJ iajs-3060 211 27 study study NOUN iajs-3060 211 28 and and CCONJ iajs-3060 211 29 their their PRON iajs-3060 211 30 applications application NOUN iajs-3060 211 31 in in ADP iajs-3060 211 32 structural structural ADJ iajs-3060 211 33 health health NOUN iajs-3060 211 34 monitoring monitoring NOUN iajs-3060 211 35 . . PUNCT iajs-3060 212 1 trends trend NOUN iajs-3060 212 2 in in ADP iajs-3060 212 3 computational computational ADJ iajs-3060 212 4 and and CCONJ iajs-3060 212 5 applied applied ADJ iajs-3060 212 6 mathematics mathematic NOUN iajs-3060 212 7 , , PUNCT iajs-3060 212 8 2021 2021 NUM iajs-3060 212 9 , , PUNCT iajs-3060 212 10 22 22 NUM iajs-3060 212 11 , , PUNCT iajs-3060 212 12 1 1 NUM iajs-3060 212 13 , , PUNCT iajs-3060 212 14 139 139 NUM iajs-3060 212 15 - - SYM iajs-3060 212 16 155 155 NUM iajs-3060 212 17 . . 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PROPN iajs-3060 215 10 shortterm shortterm PROPN iajs-3060 215 11 forecasting forecasting PROPN iajs-3060 215 12 of of ADP iajs-3060 215 13 nigeria nigeria PROPN iajs-3060 215 14 inflation inflation NOUN iajs-3060 215 15 rates rate NOUN iajs-3060 215 16 using use VERB iajs-3060 215 17 seasonal seasonal ADJ iajs-3060 215 18 arima arima PROPN iajs-3060 215 19 model model NOUN iajs-3060 215 20 . . PUNCT iajs-3060 216 1 science science PROPN iajs-3060 216 2 journal journal PROPN iajs-3060 216 3 of of ADP iajs-3060 216 4 applied apply VERB iajs-3060 216 5 mathematics mathematic NOUN iajs-3060 216 6 and and CCONJ iajs-3060 216 7 statistics statistic NOUN iajs-3060 216 8 , , PUNCT iajs-3060 216 9 2016 2016 NUM iajs-3060 216 10 , , PUNCT iajs-3060 216 11 4 4 NUM iajs-3060 216 12 , , PUNCT iajs-3060 216 13 3 3 NUM iajs-3060 216 14 , , PUNCT iajs-3060 216 15 101 101 NUM iajs-3060 216 16 - - SYM iajs-3060 216 17 107 107 NUM iajs-3060 216 18 . . PUNCT iajs-3060 217 1 20 20 NUM iajs-3060 217 2 . . PUNCT iajs-3060 218 1 ergen ergen PROPN iajs-3060 218 2 , , PUNCT iajs-3060 218 3 b. b. PROPN iajs-3060 218 4 comparison comparison NOUN iajs-3060 218 5 of of ADP iajs-3060 218 6 wavelet wavelet NOUN iajs-3060 218 7 types type NOUN iajs-3060 218 8 and and CCONJ iajs-3060 218 9 thresholding thresholde VERB iajs-3060 218 10 methods method NOUN iajs-3060 218 11 on on ADP iajs-3060 218 12 wavelet wavelet NOUN iajs-3060 218 13 based base VERB iajs-3060 218 14 denoising denoising NOUN iajs-3060 218 15 of of ADP iajs-3060 218 16 heart heart NOUN iajs-3060 218 17 sounds sound VERB iajs-3060 218 18 . . PUNCT iajs-3060 219 1 journal journal PROPN iajs-3060 219 2 of of ADP iajs-3060 219 3 signal signal NOUN iajs-3060 219 4 and and CCONJ iajs-3060 219 5 information information NOUN iajs-3060 219 6 processing processing NOUN iajs-3060 219 7 , , PUNCT iajs-3060 219 8 2013 2013 NUM iajs-3060 219 9 , , PUNCT iajs-3060 219 10 4 4 NUM iajs-3060 219 11 , , PUNCT iajs-3060 219 12 164 164 NUM iajs-3060 219 13 - - SYM iajs-3060 219 14 167 167 NUM iajs-3060 219 15 . . PUNCT iajs-3060 220 1 21 21 NUM iajs-3060 220 2 . . PUNCT iajs-3060 221 1 borowska borowska PROPN iajs-3060 221 2 , , PUNCT iajs-3060 221 3 m. m. NOUN iajs-3060 221 4 ; ; PUNCT iajs-3060 221 5 bialoblocka bialoblocka PROPN iajs-3060 221 6 , , PUNCT iajs-3060 221 7 n. n. NOUN iajs-3060 221 8 multiresolution multiresolution NOUN iajs-3060 221 9 analysis analysis NOUN iajs-3060 221 10 of of ADP iajs-3060 221 11 eeg eeg NOUN iajs-3060 221 12 signals signal NOUN iajs-3060 221 13 , , PUNCT iajs-3060 221 14 studies study NOUN iajs-3060 221 15 in in ADP iajs-3060 221 16 logic logic NOUN iajs-3060 221 17 . . PUNCT iajs-3060 222 1 grammar grammar NOUN iajs-3060 222 2 and and CCONJ iajs-3060 222 3 rhetoric rhetoric NOUN iajs-3060 222 4 , , PUNCT iajs-3060 222 5 2016 2016 NUM iajs-3060 222 6 , , PUNCT iajs-3060 222 7 47 47 NUM iajs-3060 222 8 , , PUNCT iajs-3060 222 9 60 60 NUM iajs-3060 222 10 , , PUNCT iajs-3060 222 11 21 21 NUM iajs-3060 222 12 - - SYM iajs-3060 222 13 31 31 NUM iajs-3060 222 14 . . PUNCT iajs-3060 223 1 22 22 NUM iajs-3060 223 2 . . PUNCT iajs-3060 224 1 yih yih PROPN iajs-3060 224 2 kuo kuo PROPN iajs-3060 224 3 , , PUNCT iajs-3060 224 4 j. j. PROPN iajs-3060 224 5 ; ; PUNCT iajs-3060 224 6 yi yi PROPN iajs-3060 224 7 you you PRON iajs-3060 224 8 , , PUNCT iajs-3060 224 9 s. s. PROPN iajs-3060 224 10 ; ; PUNCT iajs-3060 224 11 chi chi PROPN iajs-3060 224 12 lin lin PROPN iajs-3060 224 13 , , PUNCT iajs-3060 224 14 h. h. PROPN iajs-3060 224 15 ; ; PUNCT iajs-3060 224 16 yang yang PROPN iajs-3060 224 17 hsu hsu PROPN iajs-3060 224 18 , , PUNCT iajs-3060 224 19 c. c. PROPN iajs-3060 224 20 ; ; PUNCT iajs-3060 224 21 lei lei PROPN iajs-3060 224 22 , , PUNCT iajs-3060 224 23 b. b. NOUN iajs-3060 224 24 constructing construct VERB iajs-3060 224 25 condition condition NOUN iajs-3060 224 26 monitoring monitoring NOUN iajs-3060 224 27 model model NOUN iajs-3060 224 28 of of ADP iajs-3060 224 29 wind wind NOUN iajs-3060 224 30 turbine turbine NOUN iajs-3060 224 31 blades blade NOUN iajs-3060 224 32 . . PUNCT iajs-3060 225 1 mathematics mathematic NOUN iajs-3060 225 2 , , PUNCT iajs-3060 225 3 2022 2022 NUM iajs-3060 225 4 , , PUNCT iajs-3060 225 5 10 10 NUM iajs-3060 225 6 , , PUNCT iajs-3060 225 7 972 972 NUM iajs-3060 225 8 , , PUNCT iajs-3060 225 9 1 1 NUM iajs-3060 225 10 - - SYM iajs-3060 225 11 13 13 NUM iajs-3060 225 12 . . PUNCT iajs-3060 225 13 23 23 NUM iajs-3060 225 14 . . PUNCT iajs-3060 226 1 shi shi PROPN iajs-3060 226 2 , , PUNCT iajs-3060 226 3 m. m. NOUN iajs-3060 226 4 ; ; PUNCT iajs-3060 226 5 yu yu PROPN iajs-3060 226 6 , , PUNCT iajs-3060 226 7 h. h. PROPN iajs-3060 226 8 ; ; PUNCT iajs-3060 226 9 wang wang PROPN iajs-3060 226 10 , , PUNCT iajs-3060 226 11 h. h. 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PUNCT iajs-3060 242 1 journal journal PROPN iajs-3060 242 2 of of ADP iajs-3060 242 3 king king PROPN iajs-3060 242 4 saud saud PROPN iajs-3060 242 5 university university PROPN iajs-3060 242 6 - - PUNCT iajs-3060 242 7 science science NOUN iajs-3060 242 8 , , PUNCT iajs-3060 242 9 2015 2015 NUM iajs-3060 242 10 . . PUNCT iajs-3060 243 1 29 29 NUM iajs-3060 243 2 . . X iajs-3060 244 1 nali nali PROPN iajs-3060 244 2 , , PUNCT iajs-3060 244 3 a. a. NOUN iajs-3060 244 4 ; ; PUNCT iajs-3060 244 5 haukkanen haukkanen ADJ iajs-3060 244 6 , , PUNCT iajs-3060 244 7 p. p. NOUN iajs-3060 244 8 on on ADP iajs-3060 244 9 generalized generalized ADJ iajs-3060 244 10 fibonacci fibonacci NOUN iajs-3060 244 11 and and CCONJ iajs-3060 244 12 lucas lucas PROPN iajs-3060 244 13 polynomials polynomial NOUN iajs-3060 244 14 . . 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