The need for Time-frequency analysis: introduction, Time and Frequency Description of Signals, Instantaneous Frequency and the Complex Signal, Densities and Characteristic functions: one and two dimensional density functions and their characteristic functions, Fundamentals of Time-Frequency Distribution (TFD), Different Types of TFD, Generation of TFD Using Kernel Methods. Kernel design for reduced interference in TFD. Positive Distributions Satisfying the Marginals. Applications of TFD in the fields of Radar, Speech, Sonar Signal Processing.