A proof on the minimum and permissible sampling rates for the first-order sampling of bandpass signals

Authors:
Y. Wu
Affiliations:
Department of Mathematical Sciences, Georgia Southern University, P.O. Box 8093, Statesboro, GA 30460-8093, USA
Venue:
Digital Signal Processing
Year:
2007

Citing 4
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Abstract

In this paper, we present a rigorous mathematical proof on the minimum sampling rate as well as all acceptable sampling rates (independent of band position) for the first-order sampling of bandpass signals. It is shown that the minimum sampling rate is between 2@s (Nyquist rate) and 3@s, where @s is the bandwidth of a bandpass signal. It is also noted that the Nyquist rate is actually an asymptotic sampling rate for the first-order sampling of bandpass signals. A so-called csinc interpolator is used in the reconstruction of a bandpass signal from its samples, which makes the sampling theorem for bandpass signals congruent with the sampling theorem for lowpass signals.