Quadratic Time-Frequency Representations

Abstract

This report is reviewing both linear and quadratic time-frequency representations. The linear representations discussed are Short-Time Fourier Transform and S-transform. The quadratic representation discussed is Wigner distribution. We outline the motivations, interpretations, mathematical fundamentals, properties, and applications of these linear and quadratic time-frequency representations. We also compare these three different time-frequency analysis techniques and show that each technique has its strengths and drawbacks. The simulated data sets have been used for the comparison. The choice of the particular time-frequency representation depends upon the specific area of application and what we aim to achieve with a local frequency analysis. We show that time-frequency analysis methods should enable us to classify signals with a considerably greater interpretation of the physical situation than can be achieved by the conventional Fourier Transform method alone. Record 11 of 12