Phase matching algorithms for Wigner-distribution signal synthesis

Signal processing by means of discrete-time Wigner distribution requires a signal synthesis step which contains a troublesome phase ambiguity. The authors analyze the problem of phase ambiguities for unconstrained and halfband-constrained signal synthesis and discuss various strategies for coping with it. After a review of the phase-matching algorithm using a reference signal, the authors present autonomous phase-matching algorithms which do not require a reference signal. Online versions of both reference-based and autonomous phase-matching algorithms which feature a short-time or causal mode of operation and are thus suited for the online processing of signals with arbitrary length are derived. The performance of the algorithms is assessed by computer simulations