Windowed linear canonical transform and its applications

Authors:
Kit-Ian Kou;Rui-Hui Xu
Affiliations:
Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau;Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau
Venue:
Signal Processing
Year:
2012

Citing 6
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Abstract

In this paper, we generalize the windowed Fourier transform to the windowed linear canonical transform by substituting the Fourier transform kernel with the linear canonical transform kernel in the windowed Fourier transform definition. It offers local contents, enjoys high resolution, and eliminates cross terms. Some useful properties of the windowed linear canonical transform are derived. Those include covariance property, orthogonality property and inversion formulas. As applications analogues of the Poisson summation formula, sampling formulas and series expansions are given.