Reflections on the Poisson Sum Formula and the Uniform Sampling Theorem


IEICE TRANSACTIONS (1976-1990)   Vol.E67   No.9   pp.494-501
Publication Date: 1984/09/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Circuit Theory

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In this paper we analyze the samples of a signal in time and frequency from a unique point of view. Besides the unified treatment of the subject and the insight gained from this approach, the following original results are claimed. A new method is proposed to estimate the bandwidth and the shape of the spectrum of a signal. The most important part of the paper is the contribution on the frequency spectrum of the interpolating functions of the samples of a signal. As a consequence a novel method is proposed for equalizing the distortion of an interpolating function such as sample and hold signal. The realization is fairly simple and modular in concept.