Introduction to Quadratic Time-Frequency Distributions€¦ · • ST FT is a linear time-frequency distribution since it 's computed by taking the inner product of the signal with

Introduction to Quadratic Time-FrequencyDistributions

INTRODUCTION TO QUADRATIC TIME-FREQUENCY DISTRIBUTIONS

Wigner Distribution

Properties of Wigner Distribution

Instantaneous Frequency

Examples

Estimación de la Autocorrelación

Wigner Distribution of the Sum of Two Signals: Cross-Terms

Examples of Cross-terms

Observations about Cross-Terms

What can we do about the interference terms?

Inversion of Wigner Distribution

Discrete Time Implementation

General Class of Cohen’s Class of Distributions

Ambiguity Function

Alternative Representation for Cohen’s class

Basic Properties Related to the Kernel

Instantaneous Frequency

Reduced Interference Kernel Design

Reduced Interference Kernel Design

Some Common Kernels

Zhao-Atlas-Marks

Some Other Distributions