Wavelet Analysis and Basic Applications

Author: Zhang Guohua
Publisher:
Publish Date: 2006-08-01
Features: This book elaborates on the basic theory and applications of wavelet analysis, covering main topics such as wavelet transform, multi-resolution analysis, properties and construction of wavelets, mathematical characteristics of wavelet bases, compactly supported symmetric biorthogonal wavelets, wavelet packets, and other fundamental theories, methods, and applications. The theoretical explanations are concise and easy to understand, with a clear structural framework. The book attempts to connect mathematical formulas with engineering contexts wherever possible, striving to bridge the gap between theory and application. Each of Chapters 2–5 concludes with a summary, enabling readers to grasp the key points through brief narratives. This book can serve as a textbook or reference for undergraduate students in information and computational science, applied mathematics, as well as graduate students in information and electronic fields. It is also suitable for researchers and engineering technicians in related fields.