Sampling in the light of Wigner distribution.
We propose a new method for analysis of the sampling and reconstruction conditions of real and complex signals by use of the Wigner domain. It is shown that the Wigner domain may provide a better understanding of the sampling process than the traditional Fourier domain. For example, it explains how certain non-bandlimited complex functions can be sampled and perfectly reconstructed. On the basis of observations in the Wigner domain, we derive a generalization to the Nyquist sampling criterion. By using this criterion, we demonstrate simple preprocessing operations that can adapt a signal that does not fulfill the Nyquist sampling criterion. The preprocessing operations demonstrated can be easily implemented by optical means.
Department of Electrical and Computer Engineering, University of Connecticut, Storrs, Connecticut 06269-1157, USA. stern@engr.uconn.edu
Adrian
A
Stern
Bahram
B
Javidi