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

Abdulla M. Jarrah; Nikhil Khanna

doi:10.1016/j.ajmsc.2018.07.001

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

Abdulla M. Jarrah, Nikhil Khanna

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

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 vanishing moments of the scaling functions, wavelets and their convolution in two dimension are given.

Original language	English
Pages (from-to)	169-179
Number of pages	11
Journal	Arab Journal of Mathematical Sciences
Volume	25
Issue number	2
DOIs	https://doi.org/10.1016/j.ajmsc.2018.07.001
Publication status	Published - 2019

Keywords

Hilbert transformation
Moments
Wavelet packets

ASJC Scopus subject areas

General Mathematics

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10.1016/j.ajmsc.2018.07.001

Cite this

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abstract = "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 vanishing moments of the scaling functions, wavelets and their convolution in two dimension are given.",

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AU - Jarrah, Abdulla M.

AU - Khanna, Nikhil

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AB - 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 vanishing moments of the scaling functions, wavelets and their convolution in two dimension are given.

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KW - Moments

KW - Wavelet packets

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DO - 10.1016/j.ajmsc.2018.07.001

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JO - Arab Journal of Mathematical Sciences

JF - Arab Journal of Mathematical Sciences

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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