Two signal synthesis algorithms for pseudo Wigner distribution

The pseudo-Wigner distribution (PWD) is a time-frequency signal representation particularly suited for analyzing and processing `long´ signals. Signal processing by means of PWD involves a signal synthesis step. Two signal synthesis algorithms for PWD are presented. These are the pseudopower method which allows optimal signal synthesis, but is computationally expensive for longer signals, and the partial sum method, which is suboptimal but suited for the synthesis of signals with arbitrary length. The performance of the two algorithms is demonstrated by simple synthesis experiments