Wavelet transforms & their applications

This text presents both a systematic exposition of the basic ideas and results of wavelet transforms and their applications in time-frequency signal analysis and turbulence.

Preface Brief Historical Introduction Hilbert Spaces and Orthonormal Systems Fourier Transforms and Their Applications The Gabor Transform and Time-Frequency Signal Analysis The Wigner-Ville Distribution and Time-Frequency Signal Analysis Wavelet Transforms and Basic Properties Multiresolution Analysis and Construction of Wavelets Newland?s Harmonic Wavelets Wavelet Transform Analysis of Turbulence Answers and Hints for Selected Exercises Bibliography Index