Time-Frequency Design and Processing of Signals Via Smoothed Wigner Distributions

The Wigner distribution (WD) and WD-based sig- nal synthesis can be used for designing and processing signals in a joint time-frequency domain. Unfortunately, the perfor- mance of this method is adversely affected by the occurrence of interference terms (IT'S) in the WD. This paper provides an analysis of IT effects in WD-based signal synthesis, and shows that IT effects can be substantially reduced by using a smoothed Wigner distribution (SWD) instead of the WD. An iterative al- gorithm for SWD-based signal synthesis is presented, and the improvement over WD-based signal synthesis is verified via computer simulation.

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