The wavelet analysis procedure is to adopt a wavelet prototype function called an analyzing wavelet or mother wavelet temporal analysis is performed with a contracted high frequency version of the prototype wavelet while frequency analysis is performed with a dilated low frequency version of the same wavelet. This textbook is an introduction to the mathematical theory of wavelet analysis at the level of advanced calculus some applications are described but the main purpose of the book is to develop using only tools from a first course in advanced calculus a solid foundation in wavelet theory. An introduction to wavelets is the first volume in a new series wavelet analysis and its applications this is an introductory treatise on wavelet analysis with an emphasis on spline wavelets and time frequency analysis. An introduction to wavelet analysis is an ideal text reference for a broad audience of advanced students and researchers in applied mathematics electrical engineering computational science and physical sciences it is also suitable as a self study reference guide for professionals. An introduction to wavelet analysis provides a comprehensive presentation of the conceptual basis of wavelet analysis including the construction and application of wavelet bases the book develops the basic theory of wavelet bases and transforms without assuming any knowledge of lebesgue
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