Wigner distributions (nearly) everywhere: time-frequency analysis of signals, systems, random processes, signal spaces, and frames

The Wigner distribution (WD) is perhaps the most prominent quadratic time-frequency signal representation. In this paper, which has mainly tutorial character but also contains some new results, we describe extensions of the WD concept to multidimensional vector signals, nonstationary random processes, linear time-varying systems (deterministic and random), linear signal spaces, and frames. We discuss the interpretation and properties of these WD extensions and various relations connecting them. Some application examples are also provided. (C) 2003 Elsevier Science B.V. All rights reserved.