id sid tid token lemma pos ispiv-113 1 1 mytitle mytitle VERB ispiv-113 1 2 14th 14th ADJ ispiv-113 1 3 international international ADJ ispiv-113 1 4 symposium symposium NOUN ispiv-113 1 5 on on ADP ispiv-113 1 6 particle particle NOUN ispiv-113 1 7 image image NOUN ispiv-113 1 8 velocimetry velocimetry NOUN ispiv-113 1 9 – – PUNCT ispiv-113 1 10 ispiv ispiv NOUN ispiv-113 1 11 2021 2021 NUM ispiv-113 1 12 august august PROPN ispiv-113 1 13 1–5 1–5 NUM ispiv-113 1 14 , , PUNCT ispiv-113 1 15 2021 2021 NUM ispiv-113 1 16 hilbert hilbert NOUN ispiv-113 1 17 transform transform NOUN ispiv-113 1 18 revisited revisit VERB ispiv-113 1 19 – – PUNCT ispiv-113 1 20 proper proper ADJ ispiv-113 1 21 orthogonal orthogonal ADJ ispiv-113 1 22 decomposition decomposition NOUN ispiv-113 1 23 applied apply VERB ispiv-113 1 24 to to ADP ispiv-113 1 25 analytical analytical ADJ ispiv-113 1 26 signals signal NOUN ispiv-113 1 27 of of ADP ispiv-113 1 28 flow flow NOUN ispiv-113 1 29 fields field NOUN ispiv-113 1 30 jochen jochen PROPN ispiv-113 1 31 kriegseis1∗ kriegseis1∗ PROPN ispiv-113 1 32 , , PUNCT ispiv-113 1 33 matthias matthias PROPN ispiv-113 1 34 kinzel2 kinzel2 PROPN ispiv-113 1 35 , , PUNCT ispiv-113 1 36 holger holger NOUN ispiv-113 1 37 nobach3 nobach3 ADJ ispiv-113 1 38 1 1 NUM ispiv-113 1 39 institute institute NOUN ispiv-113 1 40 of of ADP ispiv-113 1 41 fluids fluid NOUN ispiv-113 1 42 mechanics mechanic NOUN ispiv-113 1 43 ( ( PUNCT ispiv-113 1 44 istm istm PROPN ispiv-113 1 45 ) ) PUNCT ispiv-113 1 46 , , PUNCT ispiv-113 1 47 karlsruhe karlsruhe PROPN ispiv-113 1 48 institute institute PROPN ispiv-113 1 49 of of ADP ispiv-113 1 50 technology technology PROPN ispiv-113 1 51 ( ( PUNCT ispiv-113 1 52 kit kit NOUN ispiv-113 1 53 ) ) PUNCT ispiv-113 1 54 , , PUNCT ispiv-113 1 55 karlsruhe karlsruhe PROPN ispiv-113 1 56 , , PUNCT ispiv-113 1 57 germany germany PROPN ispiv-113 1 58 2 2 NUM ispiv-113 1 59 blacksky blacksky NOUN ispiv-113 1 60 , , PUNCT ispiv-113 1 61 spaceflight spaceflight ADJ ispiv-113 1 62 industries industry NOUN ispiv-113 1 63 , , PUNCT ispiv-113 1 64 seattle seattle PROPN ispiv-113 1 65 , , PUNCT ispiv-113 1 66 wa wa PROPN ispiv-113 1 67 , , PUNCT ispiv-113 1 68 usa usa PROPN ispiv-113 1 69 3 3 NUM ispiv-113 1 70 max max PROPN ispiv-113 1 71 planck planck PROPN ispiv-113 1 72 institute institute PROPN ispiv-113 1 73 for for ADP ispiv-113 1 74 dynamics dynamic NOUN ispiv-113 1 75 and and CCONJ ispiv-113 1 76 self self NOUN ispiv-113 1 77 - - PUNCT ispiv-113 1 78 organization organization NOUN ispiv-113 1 79 , , PUNCT ispiv-113 1 80 göttingen göttingen PROPN ispiv-113 1 81 , , PUNCT ispiv-113 1 82 germany germany PROPN ispiv-113 1 83 ∗ ∗ PROPN ispiv-113 1 84 kriegseis@kit.edu kriegseis@kit.edu PROPN ispiv-113 2 1 abstract abstract ADJ ispiv-113 2 2 the the DET ispiv-113 2 3 modes mode NOUN ispiv-113 2 4 delivered deliver VERB ispiv-113 2 5 by by ADP ispiv-113 2 6 proper proper ADJ ispiv-113 2 7 orthogonal orthogonal ADJ ispiv-113 2 8 decomposition decomposition NOUN ispiv-113 2 9 ( ( PUNCT ispiv-113 2 10 pod pod NOUN ispiv-113 2 11 ) ) PUNCT ispiv-113 2 12 are be AUX ispiv-113 2 13 uncorrelated uncorrelate VERB ispiv-113 2 14 as as ADP ispiv-113 2 15 per per ADP ispiv-113 2 16 definition definition NOUN ispiv-113 2 17 ; ; PUNCT ispiv-113 2 18 but but CCONJ ispiv-113 2 19 interestingly interestingly ADV ispiv-113 2 20 , , PUNCT ispiv-113 2 21 they they PRON ispiv-113 2 22 are be AUX ispiv-113 2 23 not not PART ispiv-113 2 24 necessarily necessarily ADV ispiv-113 2 25 independent independent ADJ ispiv-113 2 26 in in ADP ispiv-113 2 27 terms term NOUN ispiv-113 2 28 of of ADP ispiv-113 2 29 spatio spatio PROPN ispiv-113 2 30 - - PUNCT ispiv-113 2 31 temporal temporal ADJ ispiv-113 2 32 flow flow NOUN ispiv-113 2 33 - - PUNCT ispiv-113 2 34 pattern pattern NOUN ispiv-113 2 35 dynamics dynamic NOUN ispiv-113 2 36 . . PUNCT ispiv-113 3 1 for for ADP ispiv-113 3 2 instance instance NOUN ispiv-113 3 3 , , PUNCT ispiv-113 3 4 periodic periodic ADJ ispiv-113 3 5 structures structure NOUN ispiv-113 3 6 that that PRON ispiv-113 3 7 travel travel VERB ispiv-113 3 8 as as ADP ispiv-113 3 9 waves wave NOUN ispiv-113 3 10 through through ADP ispiv-113 3 11 a a DET ispiv-113 3 12 series series NOUN ispiv-113 3 13 of of ADP ispiv-113 3 14 snapshots snapshot NOUN ispiv-113 3 15 often often ADV ispiv-113 3 16 consist consist VERB ispiv-113 3 17 of of ADP ispiv-113 3 18 pairs pair NOUN ispiv-113 3 19 of of ADP ispiv-113 3 20 modes mode NOUN ispiv-113 3 21 with with ADP ispiv-113 3 22 harmonic harmonic ADJ ispiv-113 3 23 functions function NOUN ispiv-113 3 24 shifted shift VERB ispiv-113 3 25 90 90 NUM ispiv-113 3 26 degree degree NOUN ispiv-113 3 27 in in ADP ispiv-113 3 28 phase phase NOUN ispiv-113 3 29 and/or and/or CCONJ ispiv-113 3 30 a a DET ispiv-113 3 31 spatial spatial ADJ ispiv-113 3 32 offset offset NOUN ispiv-113 3 33 by by ADP ispiv-113 3 34 a a DET ispiv-113 3 35 quarter quarter NOUN ispiv-113 3 36 of of ADP ispiv-113 3 37 the the DET ispiv-113 3 38 spatial spatial ADJ ispiv-113 3 39 wave wave NOUN ispiv-113 3 40 length length NOUN ispiv-113 3 41 of of ADP ispiv-113 3 42 the the DET ispiv-113 3 43 convective convective ADJ ispiv-113 3 44 flow flow NOUN ispiv-113 3 45 pattern pattern NOUN ispiv-113 3 46 . . PUNCT ispiv-113 4 1 identification identification NOUN ispiv-113 4 2 of of ADP ispiv-113 4 3 such such ADJ ispiv-113 4 4 pairs pair NOUN ispiv-113 4 5 , , PUNCT ispiv-113 4 6 however however ADV ispiv-113 4 7 , , PUNCT ispiv-113 4 8 largely largely ADV ispiv-113 4 9 builds build VERB ispiv-113 4 10 upon upon SCONJ ispiv-113 4 11 experience experience NOUN ispiv-113 4 12 , , PUNCT ispiv-113 4 13 visual visual ADJ ispiv-113 4 14 inspection inspection NOUN ispiv-113 4 15 and/or and/or CCONJ ispiv-113 4 16 the the DET ispiv-113 4 17 analysis analysis NOUN ispiv-113 4 18 of of ADP ispiv-113 4 19 the the DET ispiv-113 4 20 reconstructed reconstructed ADJ ispiv-113 4 21 coefficients coefficient NOUN ispiv-113 4 22 in in ADP ispiv-113 4 23 cyclograms cyclogram NOUN ispiv-113 4 24 ( ( PUNCT ispiv-113 4 25 lissajous lissajous ADJ ispiv-113 4 26 figures figure NOUN ispiv-113 4 27 ) ) PUNCT ispiv-113 4 28 . . PUNCT ispiv-113 5 1 this this DET ispiv-113 5 2 effort effort NOUN ispiv-113 5 3 becomes become VERB ispiv-113 5 4 even even ADV ispiv-113 5 5 more more ADV ispiv-113 5 6 challenging challenging ADJ ispiv-113 5 7 if if SCONJ ispiv-113 5 8 measurement measurement NOUN ispiv-113 5 9 noise noise NOUN ispiv-113 5 10 or or CCONJ ispiv-113 5 11 other other ADJ ispiv-113 5 12 spurious spurious ADJ ispiv-113 5 13 information information NOUN ispiv-113 5 14 contaminates contaminate VERB ispiv-113 5 15 the the DET ispiv-113 5 16 raw raw ADJ ispiv-113 5 17 data datum NOUN ispiv-113 5 18 under under ADP ispiv-113 5 19 consideration consideration NOUN ispiv-113 5 20 . . PUNCT ispiv-113 6 1 one one NUM ispiv-113 6 2 possibility possibility NOUN ispiv-113 6 3 to to PART ispiv-113 6 4 automatically automatically ADV ispiv-113 6 5 pair pair VERB ispiv-113 6 6 corresponding correspond VERB ispiv-113 6 7 patterns pattern NOUN ispiv-113 6 8 with with ADP ispiv-113 6 9 common common ADJ ispiv-113 6 10 pod pod NOUN ispiv-113 6 11 algorithms algorithm NOUN ispiv-113 6 12 is be AUX ispiv-113 6 13 the the DET ispiv-113 6 14 immediate immediate ADJ ispiv-113 6 15 application application NOUN ispiv-113 6 16 of of ADP ispiv-113 6 17 the the DET ispiv-113 6 18 pod pod NOUN ispiv-113 6 19 method method NOUN ispiv-113 6 20 to to ADP ispiv-113 6 21 complex complex ADJ ispiv-113 6 22 data datum NOUN ispiv-113 6 23 ( ( PUNCT ispiv-113 6 24 see see VERB ispiv-113 6 25 pfeffer pfeffer PROPN ispiv-113 6 26 et et PROPN ispiv-113 6 27 al al PROPN ispiv-113 6 28 . . PROPN ispiv-113 6 29 , , PUNCT ispiv-113 6 30 1990 1990 NUM ispiv-113 6 31 ) ) PUNCT ispiv-113 6 32 . . PUNCT ispiv-113 7 1 as as SCONJ ispiv-113 7 2 outlined outline VERB ispiv-113 7 3 by by ADP ispiv-113 7 4 horel horel NOUN ispiv-113 7 5 ( ( PUNCT ispiv-113 7 6 1984 1984 NUM ispiv-113 7 7 ) ) PUNCT ispiv-113 7 8 , , PUNCT ispiv-113 7 9 the the DET ispiv-113 7 10 hilbert hilbert NOUN ispiv-113 7 11 transform transform NOUN ispiv-113 7 12 is be AUX ispiv-113 7 13 a a PRON ispiv-113 7 14 well well ADV ispiv-113 7 15 - - PUNCT ispiv-113 7 16 known know VERB ispiv-113 7 17 and and CCONJ ispiv-113 7 18 straight straight ADJ ispiv-113 7 19 forward forward ADJ ispiv-113 7 20 means mean VERB ispiv-113 7 21 to to PART ispiv-113 7 22 obtain obtain VERB ispiv-113 7 23 the the DET ispiv-113 7 24 required require VERB ispiv-113 7 25 extension extension NOUN ispiv-113 7 26 of of ADP ispiv-113 7 27 the the DET ispiv-113 7 28 original original ADJ ispiv-113 7 29 signal signal NOUN ispiv-113 7 30 with with ADP ispiv-113 7 31 an an DET ispiv-113 7 32 appropriate appropriate ADJ ispiv-113 7 33 90 90 NUM ispiv-113 7 34 degrees degree NOUN ispiv-113 7 35 phase phase NOUN ispiv-113 7 36 shift shift NOUN ispiv-113 7 37 , , PUNCT ispiv-113 7 38 which which PRON ispiv-113 7 39 is be AUX ispiv-113 7 40 independent independent ADJ ispiv-113 7 41 of of ADP ispiv-113 7 42 the the DET ispiv-113 7 43 fundamental fundamental ADJ ispiv-113 7 44 frequencies frequency NOUN ispiv-113 7 45 . . PUNCT ispiv-113 8 1 the the DET ispiv-113 8 2 complex complex ADJ ispiv-113 8 3 extension extension NOUN ispiv-113 8 4 of of ADP ispiv-113 8 5 the the DET ispiv-113 8 6 original original ADJ ispiv-113 8 7 ( ( PUNCT ispiv-113 8 8 real real ADJ ispiv-113 8 9 ) ) PUNCT ispiv-113 8 10 signal signal NOUN ispiv-113 8 11 xi xi X ispiv-113 8 12 and and CCONJ ispiv-113 8 13 its its PRON ispiv-113 8 14 ( ( PUNCT ispiv-113 8 15 discrete discrete NOUN ispiv-113 8 16 ) ) PUNCT ispiv-113 8 17 hilbert hilbert PROPN ispiv-113 8 18 transform transform VERB ispiv-113 8 19 ht{xi ht{xi PROPN ispiv-113 8 20 } } PUNCT ispiv-113 8 21 as as ADP ispiv-113 8 22 the the DET ispiv-113 8 23 imaginary imaginary ADJ ispiv-113 8 24 part part NOUN ispiv-113 8 25 xi xi ADP ispiv-113 8 26 + + CCONJ ispiv-113 8 27 iht{xi iht{xi X ispiv-113 8 28 } } PUNCT ispiv-113 8 29 with with ADP ispiv-113 8 30 the the DET ispiv-113 8 31 imaginary imaginary ADJ ispiv-113 8 32 unit unit NOUN ispiv-113 8 33 i i PRON ispiv-113 8 34 is be AUX ispiv-113 8 35 commonly commonly ADV ispiv-113 8 36 known know VERB ispiv-113 8 37 as as ADP ispiv-113 8 38 the the DET ispiv-113 8 39 so so ADV ispiv-113 8 40 - - PUNCT ispiv-113 8 41 called call VERB ispiv-113 8 42 analytical analytical ADJ ispiv-113 8 43 signal signal NOUN ispiv-113 8 44 . . PUNCT ispiv-113 9 1 when when SCONJ ispiv-113 9 2 applied apply VERB ispiv-113 9 3 to to ADP ispiv-113 9 4 a a DET ispiv-113 9 5 given give VERB ispiv-113 9 6 data datum NOUN ispiv-113 9 7 set set VERB ispiv-113 9 8 as as ADP ispiv-113 9 9 a a DET ispiv-113 9 10 preparation preparation NOUN ispiv-113 9 11 step step NOUN ispiv-113 9 12 to to ADP ispiv-113 9 13 a a DET ispiv-113 9 14 subsequent subsequent ADJ ispiv-113 9 15 snapshot snapshot ADJ ispiv-113 9 16 pod pod NOUN ispiv-113 9 17 analysis analysis NOUN ispiv-113 9 18 ( ( PUNCT ispiv-113 9 19 sirovich sirovich NOUN ispiv-113 9 20 , , PUNCT ispiv-113 9 21 1987 1987 NUM ispiv-113 9 22 ) ) PUNCT ispiv-113 9 23 , , PUNCT ispiv-113 9 24 each each DET ispiv-113 9 25 property property NOUN ispiv-113 9 26 of of ADP ispiv-113 9 27 the the DET ispiv-113 9 28 data datum NOUN ispiv-113 9 29 at at ADP ispiv-113 9 30 hand hand NOUN ispiv-113 9 31 can can AUX ispiv-113 9 32 be be AUX ispiv-113 9 33 converted convert VERB ispiv-113 9 34 into into ADP ispiv-113 9 35 a a DET ispiv-113 9 36 complex complex ADJ ispiv-113 9 37 analytical analytical ADJ ispiv-113 9 38 signal signal NOUN ispiv-113 9 39 in in ADP ispiv-113 9 40 time time NOUN ispiv-113 9 41 . . PUNCT ispiv-113 10 1 the the DET ispiv-113 10 2 complex complex ADJ ispiv-113 10 3 extension extension NOUN ispiv-113 10 4 based base VERB ispiv-113 10 5 on on ADP ispiv-113 10 6 the the DET ispiv-113 10 7 hilbert hilbert NOUN ispiv-113 10 8 transform transform NOUN ispiv-113 10 9 then then ADV ispiv-113 10 10 applies apply VERB ispiv-113 10 11 along along ADP ispiv-113 10 12 the the DET ispiv-113 10 13 snapshots snapshot NOUN ispiv-113 10 14 direction direction NOUN ispiv-113 10 15 for for ADP ispiv-113 10 16 each each DET ispiv-113 10 17 point point NOUN ispiv-113 10 18 in in ADP ispiv-113 10 19 space space NOUN ispiv-113 10 20 and and CCONJ ispiv-113 10 21 for for ADP ispiv-113 10 22 each each DET ispiv-113 10 23 component component NOUN ispiv-113 10 24 per per ADP ispiv-113 10 25 spatial spatial ADJ ispiv-113 10 26 location location NOUN ispiv-113 10 27 individually individually ADV ispiv-113 10 28 . . PUNCT ispiv-113 11 1 since since SCONJ ispiv-113 11 2 the the DET ispiv-113 11 3 hilbert hilbert NOUN ispiv-113 11 4 transform transform NOUN ispiv-113 11 5 is be AUX ispiv-113 11 6 the the DET ispiv-113 11 7 only only ADJ ispiv-113 11 8 modification modification NOUN ispiv-113 11 9 of of ADP ispiv-113 11 10 the the DET ispiv-113 11 11 original original ADJ ispiv-113 11 12 data datum NOUN ispiv-113 11 13 which which PRON ispiv-113 11 14 then then ADV ispiv-113 11 15 undergoes undergo VERB ispiv-113 11 16 the the DET ispiv-113 11 17 complex complex NOUN ispiv-113 11 18 , , PUNCT ispiv-113 11 19 but but CCONJ ispiv-113 11 20 otherwise otherwise ADV ispiv-113 11 21 usual usual ADJ ispiv-113 11 22 snapshot snapshot ADJ ispiv-113 11 23 pod pod NOUN ispiv-113 11 24 analysis analysis NOUN ispiv-113 11 25 , , PUNCT ispiv-113 11 26 the the DET ispiv-113 11 27 proposed propose VERB ispiv-113 11 28 method method NOUN ispiv-113 11 29 will will AUX ispiv-113 11 30 be be AUX ispiv-113 11 31 abbreviated abbreviate VERB ispiv-113 11 32 and and CCONJ ispiv-113 11 33 referred refer VERB ispiv-113 11 34 to to ADP ispiv-113 11 35 as as ADP ispiv-113 11 36 hpod hpod PROPN ispiv-113 11 37 below below ADV ispiv-113 11 38 . . PUNCT ispiv-113 12 1 the the DET ispiv-113 12 2 results result NOUN ispiv-113 12 3 of of ADP ispiv-113 12 4 the the DET ispiv-113 12 5 hpod hpod NOUN ispiv-113 12 6 are be AUX ispiv-113 12 7 comprised comprise VERB ispiv-113 12 8 of of ADP ispiv-113 12 9 real real ADJ ispiv-113 12 10 eigenvalues eigenvalue NOUN ispiv-113 12 11 and and CCONJ ispiv-113 12 12 corresponding corresponding ADJ ispiv-113 12 13 complex complex ADJ ispiv-113 12 14 modes mode NOUN ispiv-113 12 15 . . PUNCT ispiv-113 13 1 note note VERB ispiv-113 13 2 that that SCONJ ispiv-113 13 3 the the DET ispiv-113 13 4 analytical analytical ADJ ispiv-113 13 5 signal signal NOUN ispiv-113 13 6 obtained obtain VERB ispiv-113 13 7 by by ADP ispiv-113 13 8 the the DET ispiv-113 13 9 hilbert hilbert NOUN ispiv-113 13 10 transform transform NOUN ispiv-113 13 11 can can AUX ispiv-113 13 12 not not PART ispiv-113 13 13 increase increase VERB ispiv-113 13 14 the the DET ispiv-113 13 15 information information NOUN ispiv-113 13 16 content content NOUN ispiv-113 13 17 of of ADP ispiv-113 13 18 the the DET ispiv-113 13 19 input input NOUN ispiv-113 13 20 data datum NOUN ispiv-113 13 21 , , PUNCT ispiv-113 13 22 i.e. i.e. X ispiv-113 13 23 the the DET ispiv-113 13 24 original original ADJ ispiv-113 13 25 data datum NOUN ispiv-113 13 26 and and CCONJ ispiv-113 13 27 the the DET ispiv-113 13 28 complex complex ADJ ispiv-113 13 29 extended extended ADJ ispiv-113 13 30 data datum NOUN ispiv-113 13 31 have have VERB ispiv-113 13 32 identical identical ADJ ispiv-113 13 33 information information NOUN ispiv-113 13 34 . . PUNCT ispiv-113 14 1 therefore therefore ADV ispiv-113 14 2 , , PUNCT ispiv-113 14 3 also also ADV ispiv-113 14 4 the the DET ispiv-113 14 5 result result NOUN ispiv-113 14 6 of of ADP ispiv-113 14 7 the the DET ispiv-113 14 8 modal modal ADJ ispiv-113 14 9 decomposition decomposition NOUN ispiv-113 14 10 by by ADP ispiv-113 14 11 hpod hpod PROPN ispiv-113 14 12 contains contain VERB ispiv-113 14 13 equivalent equivalent ADJ ispiv-113 14 14 information information NOUN ispiv-113 14 15 . . PUNCT ispiv-113 15 1 however however ADV ispiv-113 15 2 , , PUNCT ispiv-113 15 3 the the DET ispiv-113 15 4 complex complex ADJ ispiv-113 15 5 modes mode NOUN ispiv-113 15 6 can can AUX ispiv-113 15 7 combine combine VERB ispiv-113 15 8 the the DET ispiv-113 15 9 pairs pair NOUN ispiv-113 15 10 of of ADP ispiv-113 15 11 coupled couple VERB ispiv-113 15 12 modes mode NOUN ispiv-113 15 13 to to ADP ispiv-113 15 14 single single ADJ ispiv-113 15 15 complex complex ADJ ispiv-113 15 16 modes mode NOUN ispiv-113 15 17 . . PUNCT ispiv-113 16 1 these these DET ispiv-113 16 2 complex complex ADJ ispiv-113 16 3 modes mode NOUN ispiv-113 16 4 , , PUNCT ispiv-113 16 5 therefore therefore ADV ispiv-113 16 6 , , PUNCT ispiv-113 16 7 uniquely uniquely ADV ispiv-113 16 8 capture capture VERB ispiv-113 16 9 amplitude amplitude NOUN ispiv-113 16 10 and and CCONJ ispiv-113 16 11 phase phase NOUN ispiv-113 16 12 of of ADP ispiv-113 16 13 both both CCONJ ispiv-113 16 14 spatial spatial ADJ ispiv-113 16 15 and and CCONJ ispiv-113 16 16 temporal temporal ADJ ispiv-113 16 17 evolution evolution NOUN ispiv-113 16 18 of of ADP ispiv-113 16 19 moving move VERB ispiv-113 16 20 flow flow NOUN ispiv-113 16 21 patterns pattern NOUN ispiv-113 16 22 ( ( PUNCT ispiv-113 16 23 barnett barnett PROPN ispiv-113 16 24 , , PUNCT ispiv-113 16 25 1983 1983 NUM ispiv-113 16 26 ) ) PUNCT ispiv-113 16 27 , , PUNCT ispiv-113 16 28 which which PRON ispiv-113 16 29 can can AUX ispiv-113 16 30 also also ADV ispiv-113 16 31 uncover uncover VERB ispiv-113 16 32 the the DET ispiv-113 16 33 phase phase NOUN ispiv-113 16 34 drift drift NOUN ispiv-113 16 35 for for ADP ispiv-113 16 36 traveling travel VERB ispiv-113 16 37 wave wave NOUN ispiv-113 16 38 structures structure NOUN ispiv-113 16 39 , , PUNCT ispiv-113 16 40 for for ADP ispiv-113 16 41 instance instance NOUN ispiv-113 16 42 . . PUNCT ispiv-113 17 1 the the DET ispiv-113 17 2 major major ADJ ispiv-113 17 3 advantage advantage NOUN ispiv-113 17 4 , , PUNCT ispiv-113 17 5 consequently consequently ADV ispiv-113 17 6 , , PUNCT ispiv-113 17 7 is be AUX ispiv-113 17 8 a a DET ispiv-113 17 9 straight straight ADJ ispiv-113 17 10 forward forward ADJ ispiv-113 17 11 interpretation interpretation NOUN ispiv-113 17 12 of of ADP ispiv-113 17 13 the the DET ispiv-113 17 14 different different ADJ ispiv-113 17 15 modes mode NOUN ispiv-113 17 16 , , PUNCT ispiv-113 17 17 which which PRON ispiv-113 17 18 moreover moreover ADV ispiv-113 17 19 becomes become VERB ispiv-113 17 20 largely largely ADV ispiv-113 17 21 independent independent ADJ ispiv-113 17 22 of of ADP ispiv-113 17 23 expertise expertise NOUN ispiv-113 17 24 and and CCONJ ispiv-113 17 25 subjectivity subjectivity NOUN ispiv-113 17 26 . . PUNCT ispiv-113 18 1 interestingly interestingly ADV ispiv-113 18 2 enough enough ADV ispiv-113 18 3 , , PUNCT ispiv-113 18 4 the the DET ispiv-113 18 5 hpod hpod PROPN ispiv-113 18 6 approach approach NOUN ispiv-113 18 7 remains remain VERB ispiv-113 18 8 as as SCONJ ispiv-113 18 9 yet yet ADV ispiv-113 18 10 only only ADV ispiv-113 18 11 rarely rarely ADV ispiv-113 18 12 applied apply VERB ispiv-113 18 13 in in ADP ispiv-113 18 14 fluid fluid ADJ ispiv-113 18 15 mechanics mechanic NOUN ispiv-113 18 16 – – PUNCT ispiv-113 18 17 despite despite SCONJ ispiv-113 18 18 these these DET ispiv-113 18 19 obvious obvious ADJ ispiv-113 18 20 advantages advantage NOUN ispiv-113 18 21 . . PUNCT ispiv-113 19 1 the the DET ispiv-113 19 2 purpose purpose NOUN ispiv-113 19 3 of of ADP ispiv-113 19 4 the the DET ispiv-113 19 5 present present ADJ ispiv-113 19 6 work work NOUN ispiv-113 19 7 , , PUNCT ispiv-113 19 8 therefore therefore ADV ispiv-113 19 9 , , PUNCT ispiv-113 19 10 centers center NOUN ispiv-113 19 11 around around ADP ispiv-113 19 12 a a DET ispiv-113 19 13 thorough thorough ADJ ispiv-113 19 14 elaboration elaboration NOUN ispiv-113 19 15 of of ADP ispiv-113 19 16 the the DET ispiv-113 19 17 hpod hpod ADJ ispiv-113 19 18 capabilities capability NOUN ispiv-113 19 19 for for ADP ispiv-113 19 20 an an DET ispiv-113 19 21 advanced advanced ADJ ispiv-113 19 22 analysis analysis NOUN ispiv-113 19 23 of of ADP ispiv-113 19 24 flow flow NOUN ispiv-113 19 25 - - PUNCT ispiv-113 19 26 field field NOUN ispiv-113 19 27 information information NOUN ispiv-113 19 28 . . PUNCT ispiv-113 20 1 in in ADP ispiv-113 20 2 order order NOUN ispiv-113 20 3 to to PART ispiv-113 20 4 evaluate evaluate VERB ispiv-113 20 5 both both DET ispiv-113 20 6 advantages advantage NOUN ispiv-113 20 7 and and CCONJ ispiv-113 20 8 limits limit NOUN ispiv-113 20 9 of of ADP ispiv-113 20 10 the the DET ispiv-113 20 11 hpod hpod PROPN ispiv-113 20 12 approach approach NOUN ispiv-113 20 13 , , PUNCT ispiv-113 20 14 three three NUM ispiv-113 20 15 different different ADJ ispiv-113 20 16 tow tow NOUN ispiv-113 20 17 - - PUNCT ispiv-113 20 18 dimensional dimensional ADJ ispiv-113 20 19 ( ( PUNCT ispiv-113 20 20 2d 2d NOUN ispiv-113 20 21 ) ) PUNCT ispiv-113 20 22 test test NOUN ispiv-113 20 23 cases case NOUN ispiv-113 20 24 are be AUX ispiv-113 20 25 chosen choose VERB ispiv-113 20 26 , , PUNCT ispiv-113 20 27 each each PRON ispiv-113 20 28 of of ADP ispiv-113 20 29 which which PRON ispiv-113 20 30 is be AUX ispiv-113 20 31 known know VERB ispiv-113 20 32 to to PART ispiv-113 20 33 be be AUX ispiv-113 20 34 dominated dominate VERB ispiv-113 20 35 by by ADP ispiv-113 20 36 periodic periodic ADJ ispiv-113 20 37 ( ( PUNCT ispiv-113 20 38 oscillatory oscillatory ADJ ispiv-113 20 39 ) ) PUNCT ispiv-113 20 40 convection convection NOUN ispiv-113 20 41 of of ADP ispiv-113 20 42 flow flow NOUN ispiv-113 20 43 patterns pattern NOUN ispiv-113 20 44 . . PUNCT ispiv-113 21 1 to to PART ispiv-113 21 2 demonstrate demonstrate VERB ispiv-113 21 3 the the DET ispiv-113 21 4 independence independence NOUN ispiv-113 21 5 of of ADP ispiv-113 21 6 the the DET ispiv-113 21 7 analytical analytical ADJ ispiv-113 21 8 signal signal NOUN ispiv-113 21 9 from from ADP ispiv-113 21 10 the the DET ispiv-113 21 11 number number NOUN ispiv-113 21 12 of of ADP ispiv-113 21 13 considered consider VERB ispiv-113 21 14 properties property NOUN ispiv-113 21 15 per per ADP ispiv-113 21 16 spatial spatial ADJ ispiv-113 21 17 location location NOUN ispiv-113 21 18 , , PUNCT ispiv-113 21 19 single- single- X ispiv-113 21 20 , , PUNCT ispiv-113 21 21 twoand twoand CCONJ ispiv-113 21 22 three three NUM ispiv-113 21 23 component component NOUN ispiv-113 21 24 flow flow NOUN ispiv-113 21 25 fields field NOUN ispiv-113 21 26 ( ( PUNCT ispiv-113 21 27 1c,2c,3c 1c,2c,3c NUM ispiv-113 21 28 ) ) PUNCT ispiv-113 21 29 have have AUX ispiv-113 21 30 been be AUX ispiv-113 21 31 considered consider VERB ispiv-113 21 32 – – PUNCT ispiv-113 21 33 random random ADJ ispiv-113 21 34 snap snap NOUN ispiv-113 21 35 shots shot NOUN ispiv-113 21 36 of of ADP ispiv-113 21 37 all all DET ispiv-113 21 38 three three NUM ispiv-113 21 39 test test NOUN ispiv-113 21 40 cases case NOUN ispiv-113 21 41 are be AUX ispiv-113 21 42 shown show VERB ispiv-113 21 43 in in ADP ispiv-113 21 44 figure figure NOUN ispiv-113 21 45 1 1 NUM ispiv-113 21 46 for for ADP ispiv-113 21 47 introductory introductory ADJ ispiv-113 21 48 purposes purpose NOUN ispiv-113 21 49 . . PUNCT ispiv-113 22 1 to to PART ispiv-113 22 2 furthermore furthermore ADV ispiv-113 22 3 mimic mimic VERB ispiv-113 22 4 temporally temporally ADV ispiv-113 22 5 undersampled undersampled ADJ ispiv-113 22 6 data datum NOUN ispiv-113 22 7 , , PUNCT ispiv-113 22 8 arbitrarily arbitrarily ADV ispiv-113 22 9 ordered order VERB ispiv-113 22 10 snap snap NOUN ispiv-113 22 11 shots shot NOUN ispiv-113 22 12 have have AUX ispiv-113 22 13 also also ADV ispiv-113 22 14 been be AUX ispiv-113 22 15 applied apply VERB ispiv-113 22 16 to to ADP ispiv-113 22 17 the the DET ispiv-113 22 18 hilbert hilbert NOUN ispiv-113 22 19 transform transform NOUN ispiv-113 22 20 prior prior ADV ispiv-113 22 21 to to ADP ispiv-113 22 22 the the DET ispiv-113 22 23 subsequent subsequent ADJ ispiv-113 22 24 hpod hpod ADJ ispiv-113 22 25 application application NOUN ispiv-113 22 26 . . PUNCT ispiv-113 23 1 mailto:kriegseis@kit.edu mailto:kriegseis@kit.edu PROPN ispiv-113 23 2 ( ( PUNCT ispiv-113 23 3 a a NOUN ispiv-113 23 4 ) ) PUNCT ispiv-113 23 5 burning burn VERB ispiv-113 23 6 candle candle NOUN ispiv-113 23 7 0 0 NUM ispiv-113 23 8 0.5 0.5 NUM ispiv-113 23 9 1 1 NUM ispiv-113 23 10 1.5 1.5 NUM ispiv-113 23 11 2 2 NUM ispiv-113 23 12 2.5 2.5 NUM ispiv-113 23 13 3 3 NUM ispiv-113 23 14 3.5 3.5 NUM ispiv-113 23 15 4 4 NUM ispiv-113 23 16 x x NOUN ispiv-113 23 17 / / SYM ispiv-113 23 18 λ λ SYM ispiv-113 23 19 0 0 NUM ispiv-113 23 20 0.2 0.2 NUM ispiv-113 23 21 0.4 0.4 NUM ispiv-113 23 22 0.6 0.6 NUM ispiv-113 23 23 0.8 0.8 NUM ispiv-113 23 24 y y NOUN ispiv-113 23 25 /λ /λ PUNCT ispiv-113 23 26 ( ( PUNCT ispiv-113 23 27 b b NOUN ispiv-113 23 28 ) ) PUNCT ispiv-113 23 29 discharge discharge NOUN ispiv-113 23 30 - - PUNCT ispiv-113 23 31 based base VERB ispiv-113 23 32 stokes stoke NOUN ispiv-113 23 33 layer layer NOUN ispiv-113 23 34 ω ω PROPN ispiv-113 23 35 neg neg VERB ispiv-113 23 36 0 0 NUM ispiv-113 23 37 pos pos NOUN ispiv-113 24 1 o o X ispiv-113 24 2 u u NOUN ispiv-113 24 3 t t NOUN ispiv-113 24 4 o o X ispiv-113 24 5 f f X ispiv-113 24 6 p p PROPN ispiv-113 24 7 la la PROPN ispiv-113 24 8 n n ADP ispiv-113 24 9 e e NOUN ispiv-113 24 10 m m NOUN ispiv-113 24 11 o o NOUN ispiv-113 24 12 ti ti X ispiv-113 24 13 o o NOUN ispiv-113 24 14 n n PROPN ispiv-113 24 15 ( ( PUNCT ispiv-113 24 16 c c NOUN ispiv-113 24 17 ) ) PUNCT ispiv-113 24 18 side side ADJ ispiv-113 24 19 - - PUNCT ispiv-113 24 20 channel channel NOUN ispiv-113 24 21 flow flow NOUN ispiv-113 24 22 figure figure NOUN ispiv-113 24 23 1 1 NUM ispiv-113 24 24 : : PUNCT ispiv-113 24 25 random random ADJ ispiv-113 24 26 snapshots snapshot NOUN ispiv-113 24 27 of of ADP ispiv-113 24 28 the the DET ispiv-113 24 29 measured measure VERB ispiv-113 24 30 flow flow NOUN ispiv-113 24 31 fields field NOUN ispiv-113 24 32 under under ADP ispiv-113 24 33 consideration consideration NOUN ispiv-113 24 34 : : PUNCT ispiv-113 24 35 ( ( PUNCT ispiv-113 24 36 a a X ispiv-113 24 37 ) ) PUNCT ispiv-113 24 38 2d1c 2d1c NUM ispiv-113 24 39 data datum NOUN ispiv-113 24 40 : : PUNCT ispiv-113 24 41 schlieren schlieren PROPN ispiv-113 24 42 images image VERB ispiv-113 24 43 in in ADP ispiv-113 24 44 proximity proximity NOUN ispiv-113 24 45 of of ADP ispiv-113 24 46 a a DET ispiv-113 24 47 flickering flicker VERB ispiv-113 24 48 candle candle NOUN ispiv-113 24 49 ( ( PUNCT ispiv-113 24 50 data datum NOUN ispiv-113 24 51 from from ADP ispiv-113 24 52 laier laier NOUN ispiv-113 24 53 , , PUNCT ispiv-113 24 54 2015 2015 NUM ispiv-113 24 55 ) ) PUNCT ispiv-113 24 56 , , PUNCT ispiv-113 24 57 the the DET ispiv-113 24 58 white white PROPN ispiv-113 24 59 box box PROPN ispiv-113 24 60 indicates indicate VERB ispiv-113 24 61 the the DET ispiv-113 24 62 range range NOUN ispiv-113 24 63 of of ADP ispiv-113 24 64 interest interest NOUN ispiv-113 24 65 ( ( PUNCT ispiv-113 24 66 roi roi NOUN ispiv-113 24 67 ) ) PUNCT ispiv-113 24 68 for for ADP ispiv-113 24 69 the the DET ispiv-113 24 70 present present ADJ ispiv-113 24 71 study study NOUN ispiv-113 24 72 ; ; PUNCT ispiv-113 24 73 ( ( PUNCT ispiv-113 24 74 b b X ispiv-113 24 75 ) ) PUNCT ispiv-113 24 76 2d2c 2d2c NOUN ispiv-113 24 77 data datum NOUN ispiv-113 24 78 : : PUNCT ispiv-113 24 79 phase phase NOUN ispiv-113 24 80 - - PUNCT ispiv-113 24 81 resolved resolve VERB ispiv-113 24 82 planar planar ADJ ispiv-113 24 83 piv piv NOUN ispiv-113 24 84 fields field NOUN ispiv-113 24 85 above above ADP ispiv-113 24 86 an an DET ispiv-113 24 87 oscillatory oscillatory ADJ ispiv-113 24 88 operating operate VERB ispiv-113 24 89 plasma plasma NOUN ispiv-113 24 90 - - PUNCT ispiv-113 24 91 actuator actuator NOUN ispiv-113 24 92 array array NOUN ispiv-113 24 93 ( ( PUNCT ispiv-113 24 94 data datum NOUN ispiv-113 24 95 from from ADP ispiv-113 24 96 hehner hehner NOUN ispiv-113 24 97 et et PROPN ispiv-113 24 98 al al PROPN ispiv-113 24 99 . . PROPN ispiv-113 24 100 , , PUNCT ispiv-113 24 101 2019 2019 NUM ispiv-113 24 102 ) ) PUNCT ispiv-113 24 103 ; ; PUNCT ispiv-113 24 104 ( ( PUNCT ispiv-113 24 105 c c X ispiv-113 24 106 ) ) PUNCT ispiv-113 24 107 2d3c 2d3c NOUN ispiv-113 24 108 data datum NOUN ispiv-113 24 109 : : PUNCT ispiv-113 24 110 time time NOUN ispiv-113 24 111 - - PUNCT ispiv-113 24 112 resolved resolve VERB ispiv-113 24 113 stereo stereo NOUN ispiv-113 24 114 piv piv PROPN ispiv-113 24 115 data datum NOUN ispiv-113 24 116 in in ADP ispiv-113 24 117 the the DET ispiv-113 24 118 side side NOUN ispiv-113 24 119 channel channel NOUN ispiv-113 24 120 of of ADP ispiv-113 24 121 a a DET ispiv-113 24 122 regenerative regenerative ADJ ispiv-113 24 123 pump pump NOUN ispiv-113 24 124 ( ( PUNCT ispiv-113 24 125 data datum NOUN ispiv-113 24 126 from from ADP ispiv-113 24 127 mattern mattern PROPN ispiv-113 24 128 et et PROPN ispiv-113 24 129 al al PROPN ispiv-113 24 130 . . PROPN ispiv-113 24 131 , , PUNCT ispiv-113 24 132 2017 2017 NUM ispiv-113 24 133 ) ) PUNCT ispiv-113 24 134 . . PUNCT ispiv-113 25 1 the the DET ispiv-113 25 2 comparison comparison NOUN ispiv-113 25 3 of of ADP ispiv-113 25 4 hpod hpod PROPN ispiv-113 25 5 results result NOUN ispiv-113 25 6 with with ADP ispiv-113 25 7 standard standard ADJ ispiv-113 25 8 pod pod NOUN ispiv-113 25 9 successfully successfully ADV ispiv-113 25 10 demonstrates demonstrate VERB ispiv-113 25 11 that that SCONJ ispiv-113 25 12 the the DET ispiv-113 25 13 desired desire VERB ispiv-113 25 14 automatic automatic ADJ ispiv-113 25 15 identification identification NOUN ispiv-113 25 16 of of ADP ispiv-113 25 17 pairs pair NOUN ispiv-113 25 18 of of ADP ispiv-113 25 19 corresponding correspond VERB ispiv-113 25 20 patterns pattern NOUN ispiv-113 25 21 is be AUX ispiv-113 25 22 possible possible ADJ ispiv-113 25 23 when when SCONJ ispiv-113 25 24 applied apply VERB ispiv-113 25 25 to to ADP ispiv-113 25 26 the the DET ispiv-113 25 27 analytical analytical ADJ ispiv-113 25 28 signal signal NOUN ispiv-113 25 29 of of ADP ispiv-113 25 30 the the DET ispiv-113 25 31 raw raw ADJ ispiv-113 25 32 data datum NOUN ispiv-113 25 33 , , PUNCT ispiv-113 25 34 where where SCONJ ispiv-113 25 35 two two NUM ispiv-113 25 36 related related ADJ ispiv-113 25 37 pod pod NOUN ispiv-113 25 38 modes mode NOUN ispiv-113 25 39 are be AUX ispiv-113 25 40 combined combine VERB ispiv-113 25 41 in in ADP ispiv-113 25 42 a a DET ispiv-113 25 43 single single ADJ ispiv-113 25 44 complex complex ADJ ispiv-113 25 45 hpod hpod ADJ ispiv-113 25 46 mode mode NOUN ispiv-113 25 47 . . PUNCT ispiv-113 26 1 the the DET ispiv-113 26 2 histories history NOUN ispiv-113 26 3 of of ADP ispiv-113 26 4 reconstructed reconstructed ADJ ispiv-113 26 5 coefficients coefficient NOUN ispiv-113 26 6 furthermore furthermore ADV ispiv-113 26 7 suggest suggest VERB ispiv-113 26 8 that that SCONJ ispiv-113 26 9 the the DET ispiv-113 26 10 analytical analytical ADJ ispiv-113 26 11 signal signal NOUN ispiv-113 26 12 of of ADP ispiv-113 26 13 the the DET ispiv-113 26 14 hilbert hilbert NOUN ispiv-113 26 15 - - PUNCT ispiv-113 26 16 transformed transform VERB ispiv-113 26 17 raw raw ADJ ispiv-113 26 18 data datum NOUN ispiv-113 26 19 keeps keep VERB ispiv-113 26 20 it it PRON ispiv-113 26 21 ’s ’ VERB ispiv-113 26 22 helical helical ADJ ispiv-113 26 23 character character NOUN ispiv-113 26 24 across across ADP ispiv-113 26 25 intensity intensity NOUN ispiv-113 26 26 fluctuations fluctuation NOUN ispiv-113 26 27 , , PUNCT ispiv-113 26 28 frequency frequency NOUN ispiv-113 26 29 sweep sweep NOUN ispiv-113 26 30 and and CCONJ ispiv-113 26 31 spurious spurious ADJ ispiv-113 26 32 noise noise NOUN ispiv-113 26 33 contributions contribution NOUN ispiv-113 26 34 of of ADP ispiv-113 26 35 the the DET ispiv-113 26 36 respective respective ADJ ispiv-113 26 37 dynamics dynamic NOUN ispiv-113 26 38 . . PUNCT ispiv-113 27 1 this this DET ispiv-113 27 2 insight insight NOUN ispiv-113 27 3 holds hold VERB ispiv-113 27 4 for for ADP ispiv-113 27 5 singleand singleand NOUN ispiv-113 27 6 multi multi ADJ ispiv-113 27 7 - - ADJ ispiv-113 27 8 component component ADJ ispiv-113 27 9 data datum NOUN ispiv-113 27 10 sets set NOUN ispiv-113 27 11 and and CCONJ ispiv-113 27 12 does do AUX ispiv-113 27 13 not not PART ispiv-113 27 14 suffer suffer VERB ispiv-113 27 15 from from ADP ispiv-113 27 16 low low ADJ ispiv-113 27 17 signal signal NOUN ispiv-113 27 18 - - PUNCT ispiv-113 27 19 to to ADP ispiv-113 27 20 - - PUNCT ispiv-113 27 21 noise noise NOUN ispiv-113 27 22 ratios ratio NOUN ispiv-113 27 23 . . PUNCT ispiv-113 28 1 furthermore furthermore ADV ispiv-113 28 2 , , PUNCT ispiv-113 28 3 the the DET ispiv-113 28 4 artificially artificially ADV ispiv-113 28 5 undersampled undersampled ADJ ispiv-113 28 6 data data NOUN ispiv-113 28 7 sets set NOUN ispiv-113 28 8 lead lead VERB ispiv-113 28 9 to to ADP ispiv-113 28 10 arbitrary arbitrary ADJ ispiv-113 28 11 imaginary imaginary ADJ ispiv-113 28 12 patterns pattern NOUN ispiv-113 28 13 , , PUNCT ispiv-113 28 14 yet yet ADV ispiv-113 28 15 preserve preserve VERB ispiv-113 28 16 the the DET ispiv-113 28 17 salient salient NOUN ispiv-113 28 18 modal modal NOUN ispiv-113 28 19 patterns pattern NOUN ispiv-113 28 20 in in ADP ispiv-113 28 21 the the DET ispiv-113 28 22 real real ADJ ispiv-113 28 23 part part NOUN ispiv-113 28 24 of of ADP ispiv-113 28 25 the the DET ispiv-113 28 26 eigenvectors eigenvector NOUN ispiv-113 28 27 . . PUNCT ispiv-113 29 1 this this DET ispiv-113 29 2 insight insight NOUN ispiv-113 29 3 leads lead VERB ispiv-113 29 4 to to ADP ispiv-113 29 5 the the DET ispiv-113 29 6 conclusion conclusion NOUN ispiv-113 29 7 that that SCONJ ispiv-113 29 8 an an DET ispiv-113 29 9 hpod hpod ADJ ispiv-113 29 10 application application NOUN ispiv-113 29 11 to to ADP ispiv-113 29 12 undersampled undersampled ADJ ispiv-113 29 13 data datum NOUN ispiv-113 29 14 effectively effectively ADV ispiv-113 29 15 only only ADV ispiv-113 29 16 reduced reduce VERB ispiv-113 29 17 to to ADP ispiv-113 29 18 quasi quasi ADJ ispiv-113 29 19 - - ADJ ispiv-113 29 20 standard standard ADJ ispiv-113 29 21 pod pod NOUN ispiv-113 29 22 results result NOUN ispiv-113 29 23 , , PUNCT ispiv-113 29 24 but but CCONJ ispiv-113 29 25 still still ADV ispiv-113 29 26 reveals reveal VERB ispiv-113 29 27 meaningful meaningful ADJ ispiv-113 29 28 information information NOUN ispiv-113 29 29 in in ADP ispiv-113 29 30 the the DET ispiv-113 29 31 classical classical ADJ ispiv-113 29 32 pod pod NOUN ispiv-113 29 33 sense sense NOUN ispiv-113 29 34 . . PUNCT ispiv-113 30 1 as as ADP ispiv-113 30 2 a a DET ispiv-113 30 3 final final ADJ ispiv-113 30 4 remark remark NOUN ispiv-113 30 5 , , PUNCT ispiv-113 30 6 the the DET ispiv-113 30 7 above above ADJ ispiv-113 30 8 insights insight NOUN ispiv-113 30 9 and and CCONJ ispiv-113 30 10 conclusions conclusion NOUN ispiv-113 30 11 indicate indicate VERB ispiv-113 30 12 that that SCONJ ispiv-113 30 13 the the DET ispiv-113 30 14 hilbert hilbert NOUN ispiv-113 30 15 - - PUNCT ispiv-113 30 16 transform transform NOUN ispiv-113 30 17 based base VERB ispiv-113 30 18 conversion conversion NOUN ispiv-113 30 19 of of ADP ispiv-113 30 20 raw raw ADJ ispiv-113 30 21 data datum NOUN ispiv-113 30 22 to to ADP ispiv-113 30 23 an an DET ispiv-113 30 24 analytical analytical ADJ ispiv-113 30 25 signal signal NOUN ispiv-113 30 26 is be AUX ispiv-113 30 27 an an DET ispiv-113 30 28 advantageous advantageous ADJ ispiv-113 30 29 additional additional ADJ ispiv-113 30 30 robust robust ADJ ispiv-113 30 31 and and CCONJ ispiv-113 30 32 straight straight ADV ispiv-113 30 33 forward forward ADV ispiv-113 30 34 preprocessing preprocesse VERB ispiv-113 30 35 step step NOUN ispiv-113 30 36 to to PART ispiv-113 30 37 advance advance VERB ispiv-113 30 38 beyond beyond ADP ispiv-113 30 39 the the DET ispiv-113 30 40 classical classical ADJ ispiv-113 30 41 pod pod NOUN ispiv-113 30 42 method method NOUN ispiv-113 30 43 . . PUNCT ispiv-113 31 1 the the DET ispiv-113 31 2 simplicity simplicity NOUN ispiv-113 31 3 of of ADP ispiv-113 31 4 this this DET ispiv-113 31 5 modification modification NOUN ispiv-113 31 6 renders render VERB ispiv-113 31 7 the the DET ispiv-113 31 8 hpod hpod NOUN ispiv-113 31 9 a a DET ispiv-113 31 10 promising promising ADJ ispiv-113 31 11 decomposition decomposition NOUN ispiv-113 31 12 option option NOUN ispiv-113 31 13 for for ADP ispiv-113 31 14 periodical periodical ADJ ispiv-113 31 15 and/or and/or CCONJ ispiv-113 31 16 fluctuating fluctuate VERB ispiv-113 31 17 flow flow NOUN ispiv-113 31 18 scenarios scenario NOUN ispiv-113 31 19 . . PUNCT ispiv-113 32 1 references reference NOUN ispiv-113 32 2 barnett barnett PROPN ispiv-113 32 3 tp tp X ispiv-113 32 4 ( ( PUNCT ispiv-113 32 5 1983 1983 NUM ispiv-113 32 6 ) ) PUNCT ispiv-113 32 7 interaction interaction NOUN ispiv-113 32 8 of of ADP ispiv-113 32 9 the the DET ispiv-113 32 10 monsoon monsoon NOUN ispiv-113 32 11 and and CCONJ ispiv-113 32 12 pacific pacific ADJ ispiv-113 32 13 trade trade NOUN ispiv-113 32 14 wind wind NOUN ispiv-113 32 15 system system NOUN ispiv-113 32 16 at at ADP ispiv-113 32 17 interannual interannual ADJ ispiv-113 32 18 time time NOUN ispiv-113 32 19 scales scale VERB ispiv-113 32 20 part part NOUN ispiv-113 33 1 i i PRON ispiv-113 33 2 : : PUNCT ispiv-113 33 3 the the DET ispiv-113 33 4 equatorial equatorial ADJ ispiv-113 33 5 zone zone NOUN ispiv-113 33 6 . . PUNCT ispiv-113 34 1 monthly monthly ADJ ispiv-113 34 2 weather weather NOUN ispiv-113 34 3 review review VERB ispiv-113 34 4 111:756–773 111:756–773 NUM ispiv-113 34 5 hehner hehner PROPN ispiv-113 34 6 mt mt PROPN ispiv-113 34 7 , , PUNCT ispiv-113 34 8 gatti gatti PROPN ispiv-113 34 9 d d PROPN ispiv-113 34 10 , , PUNCT ispiv-113 34 11 and and CCONJ ispiv-113 34 12 kriegseis kriegseis ADJ ispiv-113 34 13 j j PROPN ispiv-113 34 14 ( ( PUNCT ispiv-113 34 15 2019 2019 NUM ispiv-113 34 16 ) ) PUNCT ispiv-113 34 17 stokes stoke NOUN ispiv-113 34 18 - - PUNCT ispiv-113 34 19 layer layer NOUN ispiv-113 34 20 formation formation NOUN ispiv-113 34 21 under under ADP ispiv-113 34 22 absence absence NOUN ispiv-113 34 23 of of ADP ispiv-113 34 24 moving move VERB ispiv-113 34 25 parts part NOUN ispiv-113 34 26 — — PUNCT ispiv-113 34 27 a a DET ispiv-113 34 28 novel novel ADJ ispiv-113 34 29 oscillatory oscillatory ADJ ispiv-113 34 30 plasma plasma NOUN ispiv-113 34 31 actuator actuator NOUN ispiv-113 34 32 design design NOUN ispiv-113 34 33 for for ADP ispiv-113 34 34 turbulent turbulent ADJ ispiv-113 34 35 drag drag NOUN ispiv-113 34 36 reduction reduction NOUN ispiv-113 34 37 . . PUNCT ispiv-113 35 1 physics physics NOUN ispiv-113 35 2 of of ADP ispiv-113 35 3 fluids fluid NOUN ispiv-113 35 4 31:051701 31:051701 NUM ispiv-113 35 5 horel horel PROPN ispiv-113 35 6 jd jd PROPN ispiv-113 35 7 ( ( PUNCT ispiv-113 35 8 1984 1984 NUM ispiv-113 35 9 ) ) PUNCT ispiv-113 35 10 complex complex ADJ ispiv-113 35 11 principal principal ADJ ispiv-113 35 12 component component NOUN ispiv-113 35 13 analysis analysis NOUN ispiv-113 35 14 : : PUNCT ispiv-113 35 15 theory theory NOUN ispiv-113 35 16 and and CCONJ ispiv-113 35 17 examples example NOUN ispiv-113 35 18 . . PUNCT ispiv-113 36 1 journal journal NOUN ispiv-113 36 2 of of ADP ispiv-113 36 3 climate climate NOUN ispiv-113 36 4 and and CCONJ ispiv-113 36 5 applied apply VERB ispiv-113 36 6 meteorology meteorology NOUN ispiv-113 36 7 23:1660–1673 23:1660–1673 PROPN ispiv-113 36 8 laier laier NOUN ispiv-113 36 9 m m PROPN ispiv-113 36 10 ( ( PUNCT ispiv-113 36 11 2015 2015 NUM ispiv-113 36 12 ) ) PUNCT ispiv-113 36 13 schlieren schlieren PROPN ispiv-113 36 14 investigations investigation NOUN ispiv-113 36 15 into into ADP ispiv-113 36 16 weak weak ADJ ispiv-113 36 17 density density NOUN ispiv-113 36 18 gradients gradient NOUN ispiv-113 36 19 . . PUNCT ispiv-113 37 1 bachelor bachelor PROPN ispiv-113 37 2 ’s ’s PART ispiv-113 37 3 project project NOUN ispiv-113 37 4 , , PUNCT ispiv-113 37 5 institute institute NOUN ispiv-113 37 6 of of ADP ispiv-113 37 7 fluid fluid ADJ ispiv-113 37 8 mechanics mechanic NOUN ispiv-113 37 9 , , PUNCT ispiv-113 37 10 karlsruhe karlsruhe PROPN ispiv-113 37 11 institute institute PROPN ispiv-113 37 12 of of ADP ispiv-113 37 13 technology technology PROPN ispiv-113 37 14 mattern mattern PROPN ispiv-113 37 15 p p X ispiv-113 37 16 , , PUNCT ispiv-113 37 17 gabi gabi PROPN ispiv-113 37 18 m m PROPN ispiv-113 37 19 , , PUNCT ispiv-113 37 20 and and CCONJ ispiv-113 37 21 kriegseis kriegseis PROPN ispiv-113 37 22 j j PROPN ispiv-113 37 23 ( ( PUNCT ispiv-113 37 24 2017 2017 NUM ispiv-113 37 25 ) ) PUNCT ispiv-113 37 26 a a DET ispiv-113 37 27 plane plane NOUN ispiv-113 37 28 - - PUNCT ispiv-113 37 29 to to ADP ispiv-113 37 30 - - PUNCT ispiv-113 37 31 plane plane NOUN ispiv-113 37 32 comparison comparison NOUN ispiv-113 37 33 of of ADP ispiv-113 37 34 common common ADJ ispiv-113 37 35 averaged average VERB ispiv-113 37 36 vs. vs. ADP ispiv-113 37 37 pod pod NOUN ispiv-113 37 38 patterns pattern NOUN ispiv-113 37 39 of of ADP ispiv-113 37 40 time time NOUN ispiv-113 37 41 - - PUNCT ispiv-113 37 42 resolved resolve VERB ispiv-113 37 43 stereo stereo ADJ ispiv-113 37 44 - - PUNCT ispiv-113 37 45 piv piv NOUN ispiv-113 37 46 data datum NOUN ispiv-113 37 47 within within ADP ispiv-113 37 48 a a DET ispiv-113 37 49 pump pump NOUN ispiv-113 37 50 . . PUNCT ispiv-113 38 1 european european PROPN ispiv-113 38 2 journal journal PROPN ispiv-113 38 3 of of ADP ispiv-113 38 4 mechanics mechanic NOUN ispiv-113 38 5 – – PUNCT ispiv-113 38 6 b b NOUN ispiv-113 38 7 / / SYM ispiv-113 38 8 fluids fluid NOUN ispiv-113 38 9 61:321 61:321 NUM ispiv-113 38 10 – – PUNCT ispiv-113 38 11 329 329 NUM ispiv-113 38 12 pfeffer pfeffer PROPN ispiv-113 38 13 rl rl PROPN ispiv-113 38 14 , , PUNCT ispiv-113 38 15 ahlquist ahlquist PROPN ispiv-113 38 16 j j PROPN ispiv-113 38 17 , , PUNCT ispiv-113 38 18 kung kung PROPN ispiv-113 38 19 r r PROPN ispiv-113 38 20 , , PUNCT ispiv-113 38 21 chang chang PROPN ispiv-113 38 22 y y PROPN ispiv-113 38 23 , , PUNCT ispiv-113 38 24 and and CCONJ ispiv-113 38 25 li li PROPN ispiv-113 38 26 g g PROPN ispiv-113 38 27 ( ( PUNCT ispiv-113 38 28 1990 1990 NUM ispiv-113 38 29 ) ) PUNCT ispiv-113 38 30 a a DET ispiv-113 38 31 study study NOUN ispiv-113 38 32 of of ADP ispiv-113 38 33 baroclinic baroclinic PROPN ispiv-113 38 34 wave wave NOUN ispiv-113 38 35 behavior behavior NOUN ispiv-113 38 36 over over ADP ispiv-113 38 37 bottom bottom ADJ ispiv-113 38 38 topography topography NOUN ispiv-113 38 39 using use VERB ispiv-113 38 40 complex complex ADJ ispiv-113 38 41 principal principal ADJ ispiv-113 38 42 component component NOUN ispiv-113 38 43 analysis analysis NOUN ispiv-113 38 44 of of ADP ispiv-113 38 45 experimental experimental ADJ ispiv-113 38 46 data datum NOUN ispiv-113 38 47 . . PUNCT ispiv-113 39 1 journal journal NOUN ispiv-113 39 2 of of ADP ispiv-113 39 3 the the DET ispiv-113 39 4 atmospheric atmospheric PROPN ispiv-113 39 5 sciences science NOUN ispiv-113 39 6 47:67–81 47:67–81 NUM ispiv-113 39 7 sirovich sirovich ADV ispiv-113 39 8 l l NOUN ispiv-113 39 9 ( ( PUNCT ispiv-113 39 10 1987 1987 NUM ispiv-113 39 11 ) ) PUNCT ispiv-113 39 12 turbulence turbulence NOUN ispiv-113 39 13 and and CCONJ ispiv-113 39 14 the the DET ispiv-113 39 15 dynamics dynamic NOUN ispiv-113 39 16 of of ADP ispiv-113 39 17 coherent coherent ADJ ispiv-113 39 18 structures structure NOUN ispiv-113 39 19 part part NOUN ispiv-113 40 1 i i NOUN ispiv-113 40 2 : : PUNCT ispiv-113 40 3 coherent coherent ADJ ispiv-113 40 4 structures structure NOUN ispiv-113 40 5 . . PUNCT ispiv-113 41 1 quarterly quarterly ADV ispiv-113 41 2 of of ADP ispiv-113 41 3 applied apply VERB ispiv-113 41 4 mathematics mathematic NOUN ispiv-113 41 5 45:561–571 45:561–571 NUM