A non-aliased discrete-time Wigner distribution for time-frequency signal analysis

Abstract

The Wigner Distribution (WD) is a signal transformation which has its origin in quantum mechanics. It possesses some important properties which make it very attractive for time-frequency signal analysis. The WD was originally defined for continuous-time signals. A discrete-time version of it was proposed recently [6]. Unfortunately, this discrete-time WD suffers from aliasing effects, which prevent several of the properties of the continuous-time WD from carrying over straightforwardly. In this paper, a discrete-time WD which does not suffer from aliasing is introduced. It is essentially an augmentation of the previous version, incorporating new information about the signal not contained in the previous version. It possesses all of the properties of the continuous-time WD which can reasonably be expected to carry over to the discrete-time case.