The usual method for time-frequency representation using Short Time Fourier Transform or Spectrogram does not give precise time frequency information; hence the analysis of signal using them is not much easy. The Wigner Ville Distribution (WVD) can be used for a time-frequency representation of signals with a very good resolution in time and frequency domain. WVD has many features which make them suitable for applications in transient signal detection. This book talks about different time frequency signal representations including Wigner Ville Distribution and presents some methods to reduce the cross terms in WVD. The book also describes some important applications of the variants of WVD in the world of signal processing. This book will help a student or a researcher to learn about time frequency representations and to understand how to use them in a variety of applications.