Fixed-point error analysis of discrete Wigner-Ville distribution

The Wigner-Ville distribution (WVD) has been a powerful signal processing tool for time-frequency signal analysis. Consequently, many algorithms have been proposed in the literature for computing the WVD in real-time applications. However, Boashash (1987) has proposed and showed that the evaluation of the analytic signal using the time-domain approach, and involving the Hilbert transformer, is the most efficient algorithm for real-time applications. A fixed-point error analysis of this algorithm has been carried out. The theoretical noise-to-signal ratio (NSR) is derived and verified through simulation. The results indicate that for this algorithm, the NSR increases by 0.5 bit/stage, whereas for the other algorithms, it increases by 1 bit/stage