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Wavelet transform associated with linear canonical Hankel transform
Author(s) -
Kumar Tanuj,
Mandal Upain Kumar
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5576
Subject(s) - parseval's theorem , mathematics , discrete wavelet transform , harmonic wavelet transform , hankel transform , wavelet transform , stationary wavelet transform , wavelet , continuous wavelet transform , second generation wavelet transform , wavelet packet decomposition , mathematical analysis , fourier transform , fractional fourier transform , fourier analysis , artificial intelligence , computer science
The main goal of this paper is to study about the continuous as well as discrete wavelet transform in terms of linear canonical Hankel transform (LCH‐transform) and discuss some of its basic properties. Parseval's relation and reconstruction formula of continuous linear canonical Hankel wavelet transform (CLCH‐wavelet transform) is obtained. Moreover, semidiscrete and discrete LCH‐wavelet transform are also discussed.