id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
esrj-21197	Bakkali, Saad; Amrani, Mahacine	DENOISING RESISTIVITY PHOSPHATE “DISTURBANCES” USING HAAR MOTHER WAVELET TRANSFORM (SIDI CHENNANE, MOROCCO)	2008	10	.pdf	application/pdf	3955	193	53	The family of simpler wavelets, which will be adopted in the present work, is that the Haar wavelet : � � � ( ) , ( ) , ( ) [ , ] x if x x if x x if x � � � � � � � � � 1 0 1 2 1 1 2 1 0 01 For the one-dimensional no stationary function f(x) that decrease to zero when x � , the following assumption is normally adopted : � �p q px x q p , ( ) ( )� 2 22 (3) The scale factor of 2-pq is called the localization or dyatic translation and k is the translation index as- sociated with the localization, where p and q � � (Meyer, 1982) proved that wavelet thus defined are orthogonal, i.e., � � � �p q l m p l q m, , , ,� � for p q l m Z, , � �where is equal to the scalar product and � refer to the delta function of Dirac. Extending the idea to space for � integrable square functions, the following is defined : � �a b a t b a a b R a, , , ,� � � �� � � �� � � 1 0 (2) The function � is called a mother wavelet, where a is the scale factor and b is the translation parameter.	cache/esrj-21197.pdf	txt/esrj-21197.txt