Some results on vanishing moments of wavelet packets, convolution and cross-correlation of wavelets

A formula for calculating moments for wavelet packets is derived and a sufficient condition for moments of wavelet packets to be vanishing is obtained. Also, the convolution and cross-correlation theorems for Hilbert transform of wavelets are proved. Finally, using MRA of L2(R), some results on the...

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Bibliographic Details
Main Authors: A.M. Jarrah, Nikhil Khanna
Format: Article
Language:English
Published: Emerald Publishing 2019-07-01
Series:Arab Journal of Mathematical Sciences
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516618301531