Reflections on the Poisson Sum Formula and the Uniform Sampling Theorem

Farokh MARVASTI

Reflections on the Poisson Sum Formula and the Uniform Sampling Theorem

Farokh MARVASTI

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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.

Publication: IEICE TRANSACTIONS on transactions Vol.E67-E No.9 pp.494-501

Publication Date: 1984/09/25

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Type of Manuscript: PAPER

Category: Circuit Theory

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Farokh MARVASTI

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Farokh MARVASTI, "Reflections on the Poisson Sum Formula and the Uniform Sampling Theorem" in IEICE TRANSACTIONS on transactions, vol. E67-E, no. 9, pp. 494-501, September 1984, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e67-e_9_494/_p

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@ARTICLE{e67-e_9_494,
author={Farokh MARVASTI, },
journal={IEICE TRANSACTIONS on transactions},
title={Reflections on the Poisson Sum Formula and the Uniform Sampling Theorem},
year={1984},
volume={E67-E},
number={9},
pages={494-501},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Reflections on the Poisson Sum Formula and the Uniform Sampling Theorem
T2 - IEICE TRANSACTIONS on transactions
SP - 494
EP - 501
AU - Farokh MARVASTI
PY - 1984
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E67-E
IS - 9
JA - IEICE TRANSACTIONS on transactions
Y1 - September 1984
AB - 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.
ER -