Windowed linear canonical transform and its applications
نویسندگان
چکیده
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. & 2011 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Signal Processing
دوره 92 شماره
صفحات -
تاریخ انتشار 2012