Wavelet Transforms: Kith and Kin (Textbooks in Mathematics)

Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots.This book is the first of its kind totally devoted to the treatment of continuous signals and it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical wavelet transforms and their ramifications. The authors intend to motivate and stimulate interest among mathematicians, computer scientists, engineers and physical, chemical and biological scientists. The text is written from the ground up with target readers being senior undergraduate and first-year graduate students and it can serve as a reference for professionals in mathematics, engineering and applied sciences.FeaturesFlexibility in the book’s organization enables instructors to select chapters appropriate to courses of different lengths, emphasis and levels of difficultySelf-contained, the text provides an impetus to the contemporary developments in the signal processing aspects of wavelet theory at the forefront of researchA large number of worked-out examples are includedEvery major concept is presented with explanations, limitations and subsequent developments, with emphasis on applications in science and engineeringA wide range of exercises are incoporated in varying levels from elementary to challenging so readers may develop both manipulative skills in theory wavelets and deeper insightAnswers and hints for selected exercises appear at the endThe origin of the theory of wavelet transforms dates back to the 1980s as an outcome of the intriguing efforts of mathematicians, physicists and engineers. Owing to the lucid mathematical framework and versatile applicability, the theory of wavelet transforms is now a nucleus of shared aspirations and ideas. Read more