TITLE:
New Formulas for Irregular Sampling of Two-Bands Signals
AUTHORS:
Bernard Lacaze
KEYWORDS:
Stationary Processes, Irregular Sampling, Two-Bands Processes
JOURNAL NAME:
Journal of Signal and Information Processing,
Vol.2 No.4,
November
16,
2011
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.