New Formulas for Irregular Sampling of Two-Bands Signals

Bernard Lacaze

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DOI: 10.4236/jsip.2011.24035                

Abstract

Many sampling formulas are available for processes in baseband (-a,a) at the Nyquist rate a/π. However signals of telecommunications have power spectra which occupate two bands or more. We know that PNS (periodic non-uniform sampling) allow an errorless reconstruction at rate smaller than the Nyquist one. For instance PNS2 can be used in the two-bands case (-a,-b)∪(b,a) at the Landau rate (a-b)/π We prove a set of formulas which are available in cases more general than the PNS2. They take into account two sampling sequences which can be periodic or not and with same mean rate or not.

Keywords

Stationary Processes, Irregular Sampling, Two-Bands Processes

Conflicts of Interest

The authors declare no conflicts of interest.

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