TIME-FREQUENCY SIGNAL SYNTHESIS WITH TIME-FREQUENCY EXTRAPOLATION ANDDONT-CARE REGIONS

The application of Wigner distribution (WD)-based signal synthesis to signal separation problems is often adversely affected by WD interfere nce terms. We present a modified signal synthesis method where the use of a masked WD allows the definition of don't-care regions. In the do n't-care regions, detrimental interference terms (whose time-frequency location is assumed to be known) are ignored. The synthesis result is calculated using a modified version of the quasi power algorithm prev iously proposed for smoothed WD's. The new synthesis method is shown t o possess a desirable time-frequency extrapolation capability as well as a potential tendency to produce spurious signal components in the d on't-care regions. The occurrence of spurious signal components can be avoided by the inclusion of an ''energy penalty.''