Title of article :
A New Class of Linear Canonical Wavelet Transform
Author/Authors :
Gupta ، Bivek Department of Mathematics - Indian Institute of Technology Patna , Verma ، Amit K. Department of Mathematics - Indian Institute of Technology Patna , Cattani ، Carlo Engineering School (DEIM) - University of Tuscia, Largo dell’Università
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
Journal title :
Journal of Applied and Computational Mechanics
Journal title :
Journal of Applied and Computational Mechanics
