ON THE WIGNER VILLE DISTRIBUTION OF FINITE DURATION SIGNALS

For computational reasons, the pseudo Wigner Ville distribution (WVD) has been popularly used instead of the true WVD. For short durationed signals, however, the true WVD can be computed directly, provided the signal is extended beyond the observation interval. We considered two common extensions, namely the zero extension and the periodic extension. Due to the nonlinear nature of the WVD, the corresponding WVD spectra have a nontrivial relationship, which we derive in this paper. The results are illustrated with a chirp and an ECG signal examples.