Introduction to Wavelet Analysis

Author: Cui Jintai (USA), translated by Cheng Zhengxing
Publisher:
Publish Date: 1997-01-01
Features: This book is an introductory monograph on wavelet analysis, focusing on spline wavelets and time-frequency analysis. It covers the following fundamental topics: 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 algorithm derivations. It combines theory with practical applications. This self-contained work requires only basic knowledge of function theory and real analysis from university science and engineering majors. It is suitable as an introductory textbook for undergraduate students in science and engineering disciplines to learn wavelet analysis, as well as a reference for scientists and engineers who wish to study this topic. Experts in the field can use this book to better understand the extensive literature published in this area.