Introduction to Wavelet Analysis

Author: (American) Cui Jintai (Author), Cheng Zhengxing (Translator)
Publisher:
Publish Date: 1997-01-01
Features: This book is an introductory monograph on wavelet analysis, focusing on spline wavelets and time-frequency analysis. The fundamental content included is: wavelet series, multi-resolution analysis, wavelet decomposition and reconstruction, Gabor transform and short-time Fourier transform, time-frequency localization, integral wavelet transform, dyadic wavelets, frames, spline wavelets, standard orthogonal wavelet bases, and a unified treatment of wavelets. The book is rich in content, concise in selection, highlights key points, and presents clear explanations. The arrangement of the content progresses from simple to complex, with detailed algorithmic derivations. It offers both theory and practical background. This monograph is self-contained, requiring only basic knowledge of function theory and real analysis from students in science and engineering disciplines. It is suitable as an introductory textbook for university students in science and engineering to learn wavelet analysis, as well as a reference for scientists and engineers who wish to study the topic. Experts can use this book to better understand the extensive literature published in the field.