Wavelet Structure And Design
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Wavelet Structure and Design
Author: Daniel J. Greenhoe
language: en
Publisher: Abstract Space Publishing
Release Date: 2013-08-21
This book presents the structure of wavelets, principles of wavelet design, and mathematical structure that supports wavelet theory.
Wavelet Transforms and Their Applications
This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.
Mathematical Structures of Information and the Deep Universe
In the vast sea of information that surrounds us, there lies a hidden structure, a mathematical tapestry that weaves together the fabric of reality. This structure is the foundation of our universe, and it holds the key to unlocking the mysteries of existence. In this groundbreaking book, Pasquale De Marco takes us on a journey to explore the mathematical structures of information and the deep universe. Drawing from the latest advancements in wavelet theory, Pasquale De Marco reveals how wavelets can be used to unravel the complexities of information and gain a deeper understanding of the world around us. Wavelets: Unveiling the Mathematical Structures of Information and the Deep Universe is a comprehensive guide to the theory and applications of wavelets. With clear explanations, engaging examples, and wide-ranging coverage of topics, this book is an essential resource for anyone who wants to stay at the forefront of information processing and analysis. From the basics of wavelet transforms to the latest developments in wavelet-based machine learning, this book covers everything you need to know about wavelets. You will learn how wavelets can be used to: * Compress images, audio, and video * Analyze financial data * Diagnose medical conditions * Explore geophysical phenomena * Design new materials * And much more Whether you are a student, a researcher, or a practitioner in any field that involves information processing, this book will provide you with a powerful toolset for solving complex problems and extracting meaningful insights from data. With its clear writing style, comprehensive coverage, and wealth of practical examples, Wavelets: Unveiling the Mathematical Structures of Information and the Deep Universe is the definitive guide to wavelets and their vielfältig applications. If you like this book, write a review!