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q—Type Sampling Theorems

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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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  1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

    Mahmoud H. Annaby

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  1. Mahmoud H. Annaby
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Correspondence to Mahmoud H. Annaby.

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Annaby, M.H. q—Type Sampling Theorems. Results. Math. 44, 214–225 (2003). https://doi.org/10.1007/BF03322983

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