Abstract: The aim of this paper is to present a statistical analysis of the continuous linear and bilinear time-frequency representations. Such an analysis can be useful for the estimation of different parameters of not stationary signals corrupted by noise, like the instantaneous frequency or the instantaneous bandwidth. The case of discrete time-frequency representations is also considered. Simulations verify the theoretical results obtained.
Keywords: Nonstationary signals, time frequency analysis, statistical analysis, Wigner-Vile distibution, Discrete Wavelet tranform.