AN ALGORITHM FOR SYNTHESIZING SIGNALS FROM PARTIAL TIME-FREQUENCY MODELS USING THE CROSS WIGNER DISTRIBUTION

A weighted least square error criterion is formulated for time-frequen cy synthesis that optimally synthesizes a signal when only part of the desired time-frequency model is available. The partial model occurs f requently in situations where the ideal synthesis model has been trunc ated by a time-varying mask in order to exclude unwanted signal compon ents or when knowledge of the true time or frequency support of the id eal model is unknown. A cross Wigner distribution (CWD) synthesis algo rithm is developed from the weighted least square error criterion and compared with existing Wigner distribution (WD) synthesis algorithms. The algorithm is also shown to be useful when interference or cross te rms hinder the use of the quadratic auto Wigner distribution (AWD) for signal synthesis.