Open Access Research Article

Generalized Sampling Theorem for Bandpass Signals

Ales Prokes

Author Affiliations

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

EURASIP Journal on Advances in Signal Processing 2006, 2006:059587  doi:10.1155/ASP/2006/59587


The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2006/1/059587


Received: 29 September 2005
Revisions received: 19 January 2006
Accepted: 26 February 2006
Published: 3 May 2006

© 2006 Prokes

The reconstruction of an unknown continuously defined function from the samples of the responses of linear time-invariant (LTI) systems sampled by the th 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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