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Wavelet Function Properties Based on Shannon Function

Published • Sep 20, 2024
NobleIDNI3P04W38R18S87
Authors:
Zuo-Xian Fu
,
Qing Lin
,
Caixia Deng

Abstract

It is proved that the wavelet function constructed by Shannon function is an orthogonal wavelet and satisfies admissiblility condition. It has properties such as frequency spectrum limitation, symmetry and almost everywhere smoothness. The wavelet transform is combined with the theory of reproducing...

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