q—Type Sampling Theorems |
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Authors: | Mahmoud H Annaby |
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Institution: | 1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
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Abstract: | This paper introduces q—versions of the classical sampling theorem of Whittaker, Kotel’nikov and Shannon as well as Kramer’s analytic theorem. q—type band-limited signals are defined in terms of Jackson’s q—integral and their sampling representations are given. The sampling points are the zeros of a q—sine type function, derived by Bustoz and Cardoso (2001). |
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