Cross term deleted Wigner representation (CDWR) based signal detection methodologies

A decision statistic in the case of cross term deleted Wigner representation (CDWR) is derived in this paper. This statistic is then used to detect/classify signals present in underwater acoustic data. Using the output signal-to-noise ratio as a performance measure, we show in this paper that the performance of the cross CDWR based detection method is better than the performance of the auto CDWR. In addition, we show that the performance in the case of cross CDWR is similar to the performance of the classical cross-correlator when the biorthogonal analysis window satisfies minimum energy condition. Experimental results are provided to illustrate our theoretical deductions.