Introduction to Signal Synthesis and Analysis is the result of a rigorous literature review and brings current methodologies and research into one volume suitable for both pedagogic and self-study purposes. Using a clear expository style, the author provides a thorough introduction to the subject, comparing several wavelet approaches and a variety of transforms. The book examines the properties and applications of each transform, including practical computation. Each featured transform includes characterization theorems, inverse transforms, sampling theorems, and discrete implementations. Many examples and exercises are included, with useful results contained in appendices for easy reference.