A sampling theorem for non-bandlimited signals using generalized Sinc functions

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A sampling theorem for non-bandlimited signals using generalized Sinc functions

A ladder shaped filter of two real parameters a 1 , a 2 ∈ (−1, 1) is introduced in this note. The impulse response of the corresponding Linear Time Invariant (LTI) system is a generalized Sinc function of two parameters. Consequently a generalized Shannon-type sampling theorem is established for a class of non-bandlimited signals with special spectrum properties associated with a ladder shaped ...

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ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 2008

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2008.03.021