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Generalized Sampling Theorem for Bandpass Signals

EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 059587 (2006) Cite this article

Abstract

The reconstruction of an unknown continuously defined function from the samples of the responses of linear time-invariant (LTI) systems sampled by theth Nyquist rate is the aim of the generalized sampling. Papoulis (1977) provided an elegant solution for the case where is a band-limited function with finite energy and the sampling rate is equal to times cutoff frequency. In this paper, the scope of the Papoulis theory is extended to the case of bandpass signals. In the first part, a generalized sampling theorem (GST) for bandpass signals is presented. The second part deals with utilizing this theorem for signal recovery from nonuniform samples, and an efficient way of computing images of reconstructing functions for signal recovery is discussed.

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Authors and Affiliations

  1. Department of Radio Electronics, Brno University of Technology, Purkynova 118, Brno, 612 00, Czech Republic

    Ales Prokes

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  1. Ales Prokes
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Correspondence to Ales Prokes.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Prokes, A. Generalized Sampling Theorem for Bandpass Signals. EURASIP J. Adv. Signal Process. 2006, 059587 (2006). https://doi.org/10.1155/ASP/2006/59587

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  • DOI: https://doi.org/10.1155/ASP/2006/59587

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