Wavelets Simplified A Practical Guide For Beginners
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Wavelets Simplified: A Practical Guide for Beginners
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-07-24
In today's data-driven world, the ability to analyze and process signals and images is more important than ever. Wavelets provide a powerful tool for performing these tasks, and this book provides a comprehensive and practical guide to using wavelets for a wide range of applications. Written in a clear and concise style, the book is suitable for both beginners and experienced practitioners. It covers the basics of wavelet theory, including continuous and discrete wavelets, scale and translation, and wavelet transforms. The book also explores a wide range of applications, including image compression, audio denoising, feature extraction, and biomedical signal processing. Through numerous examples and real-world applications, the book demonstrates the power of wavelets and empowers readers to utilize this powerful tool in their own projects. Whether you're a student, researcher, or engineer, this book will provide you with the knowledge and skills you need to use wavelets effectively. **Key Features:** - Comprehensive coverage of wavelet theory and applications - Clear and concise writing style, suitable for both beginners and experienced practitioners - Numerous examples and real-world applications - Perfect for students, researchers, and engineers If you like this book, write a review!
Wavelets Made Easy
Author: Yves Nievergelt
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-11-09
Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets. Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplines—computer science, engineering, mathematics, mathematical sciences—as well as for practicing professionals in these areas. The present softcover reprint retains the corrections from the second printing (2001) and makes this unique text available to a wider audience. The first chapter starts with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra. The second part of this book provides the foundations of least-squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particular attention is paid to Daubechies wavelets. Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the classroom as well as a valuable resource for self-study.
An Introduction to Wavelets
Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on "wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.