Introduction to Wavelet Transform and Time-Frequency Analysis

The wavelet transform has been developed in recent years and has attracted growing attention from mathematicians as well as engineers. In this introductory chapter, we would like to review briefly some basic concepts and methods of this new approach under the more general framework of time-frequency analysis methods. We will discuss the Fourier transform, the short-time Fourier transform and time-frequency distributions, followed by a discussion of wavelet theory and its variations.