The Wigner Distribution Function (WDF) is an excellent tool for characterizing time varying signals. Several approaches have been recently suggested for optical implementation of Wigner Distri-bution Function of signals. In this paper, we report on our simulation efforts to use WDF for signal and image classification. We also relate WDF to other conventional time-frequency representa-tions of a signal such as Ambiguity Function. We develop analytical results quantifying the performance of WDF in detection problems. These analytical results are compared to the experimentally observed results. Signal parameter estimation methods that use WDF are also introduced. Extensions of WDF approach to higher dimensions (as in the case of images) are briefly outlined.