A New Class of Linear Canonical Wavelet Transform

Author(s):

Bivek Gupta , Amit K. Verma , Carlo Cattani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

We define a new class of linear canonical wavelet transform (LCWT) and study its properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark’s uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give the Shapiro’s mean dispersion theorem for the proposed LCWT.

Keywords:

Linear canonical transform , linear canonical wavelet transform , uncertainty principle , Shapiro’s theorem

Language:
English
Published:
Journal of Applied and Computational Mechanics, Volume:10 Issue: 1, Winter 2024
Pages:
64 to 79
https://www.magiran.com/p2657605