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

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

12 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	169-179
عدد الصفحات	11
دورية	Arab Journal of Mathematical Sciences
مستوى الصوت	25
رقم الإصدار	2
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.ajmsc.2018.07.001
حالة النشر	Published - 2019

ASJC Scopus subject areas

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الوصول إلى المستند

10.1016/j.ajmsc.2018.07.001

الملفات والروابط الأخرى

قم بذكر هذا

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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.",

keywords = "Hilbert transformation, Moments, Wavelet packets",

author = "Jarrah, {Abdulla M.} and Nikhil Khanna",

note = "Publisher Copyright: {\textcopyright} 2018 The Authors",

year = "2019",

doi = "10.1016/j.ajmsc.2018.07.001",

language = "English",

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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.

KW - Hilbert transformation

KW - Moments

KW - Wavelet packets

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