# 26 Best Books on Wavelets

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We have compiled a list of the Best Reference Books on Wavelets, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Wavelets Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Wavelets below.

## 2. Wavelet Analysis

 1."Wavelet Analysis on the Sphere: Spheroidal Wavelets" by Imen Rezgui and Anouar Ben Mabrouk “Wavelet Analysis on the Sphere: Spheroidal Wavelets” Book Review: This is a comprehensive book that explores the application of wavelet analysis on spherical surfaces. The book covers various topics including the theory of spherical wavelets, the construction of spheroidal wavelet bases, and the analysis of functions on the sphere using wavelets. It delves into the mathematical foundations, algorithms, and practical implementations of spherical wavelets. With its in-depth coverage and practical examples, this book serves as an invaluable resource for researchers and practitioners interested in wavelet analysis on spherical surfaces. 2."Mathematical Principles Of Signal Processing: Fourier And Wavelet Analysis" by Bremaud “Mathematical Principles Of Signal Processing: Fourier And Wavelet Analysis” Book Review: This is an insightful book that delves into the mathematical foundations of signal processing. The author presents a comprehensive study of Fourier and wavelet analysis, covering key principles and techniques. The book explores topics such as time-frequency analysis, discrete Fourier transform, wavelet transform, filter banks, and multi-resolution analysis. Each chapter provides clear explanations and mathematical derivations, making it accessible to readers with a solid mathematical background. This book is a valuable resource for students and researchers in the field of signal processing, offering a solid understanding of fundamental concepts and their applications. 3."Document Analysis and Recognition with Wavelet and Fractal Theories (Series In Machine Perception And Artificial Intelligence)" by Tang 4."Essential Wavelets for Statistical Applications and Data Analysis" by Todd Ogden “Essential Wavelets for Statistical Applications and Data Analysis” Book Review: This book provides a comprehensive introduction to wavelet theory and its applications in statistical analysis and data processing. The book covers key topics such as discrete wavelet transforms, wavelet shrinkage, and wavelet-based hypothesis testing. It also explores the use of wavelets in various statistical applications, including time series analysis, image denoising, and functional data analysis. Each chapter includes clear explanations, mathematical derivations, and practical examples, making it accessible to both beginners and experienced statisticians. With its emphasis on statistical applications, this book is a valuable resource for researchers and practitioners seeking to utilize wavelets in their data analysis endeavors. 5."Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets" by Alexander I Saichev and Wojbor A Woyczynski “Distributions in the Physical and Engineering Sciences: Distributional and Fractal Calculus, Integral Transforms and Wavelets” Book Review: This is an extensive book that explores the applications of distributional and fractal calculus, integral transforms, and wavelets in the fields of physics and engineering. The authors provide a comprehensive overview of the mathematical tools and techniques necessary for understanding and analyzing complex systems. The book covers topics such as generalized functions, distribution theory, fractional calculus, integral transforms, and wavelet analysis. Each chapter presents theoretical foundations and practical examples, making it suitable for both students and researchers in the physical and engineering sciences. This book serves as a valuable resource for anyone seeking to apply advanced mathematical methods in their scientific studies. advertisement 6."Fourier and Wavelet Analysis (Universitext)" by George Bachmann and Lawrence Narici “Fourier and Wavelet Analysis (Universitext)” Book Review: This book is a comprehensive book that delves into the principles and applications of Fourier and wavelet analysis. The authors provide a clear and concise introduction to the fundamental concepts and techniques, making it accessible to both students and researchers. The book covers topics such as Fourier series, Fourier transforms, wavelets, and their applications in signal processing, image analysis, and data compression. Each chapter explores the mathematical foundations and practical examples, enhancing the reader’s understanding of the subject. With its thorough coverage and accessible style, this book serves as an excellent resource for those interested in Fourier and wavelet analysis.

## 3. Wavelet Transforms

 1."Fundamentals of Wavelets: Theory Algorithms and Applications" by Goswami and Chan Book Review: This book focuses on a wide range of concepts pertaining to wavelets, including theory, algorithms, applications, and computer codes. It provides in-depth coverage of various topics, such as curvelets, ridgelets, lifting wavelets, lifting algorithms, edge detection applications, geophysical applications, multiresolution time domain method, and numerous inverse problems. 2."Wavelet Transforms: Introduction to Theory and Applications" by Raghuveer M Rao and Ajit S Bopardikar Book Review: This book offers a practical understanding of wavelet transforms and their properties to students, engineers, and scientists. It covers essential concepts in signal processing, image processing, and communications. The book provides clear explanations of wavelet transform implementation and wavelet design for various applications. Starting with basic linear filtering principles, it gradually introduces readers to the continuous wavelet transform. The book covers topics such as multiresolution analysis, biorthogonal bases, wavelet packets, and multiresolution analysis of images. advertisement 3."Introduction to Wavelets and Wavelet Transforms" by C Sidney Burrus and Ramesh A Gopinath Book Review: This book is designed for students and researchers in fields like signal processing, telecommunications, computer science, and applied mathematics. It requires some knowledge of Fourier series and transforms, linear algebra, and matrix methods. The book explains the mathematical theory behind wavelet techniques and explores why wavelets are effective in signal analysis, compression, detection, numerical analysis, and various practical applications. It is suitable for both undergraduate and graduate students, as well as faculty members, who want to understand the foundations and practical aspects of wavelets. 4."Wavelet Theory and its Applications" by Randy K Young Book Review: This book discusses the complex method of interpolation and immediate spaces, shedding light on function spaces and their approximation properties. It also introduces spectral projections, which prove useful in tackling diverse challenges in numerical analysis, multidimensional signal processing, video data compression, high-resolution image reconstruction, and high-quality speech. While offering valuable insights for practitioners, this book is equally accessible to non-specialists in the field of wavelet theory. 5."Subband and Wavelet Transforms: Design and Applications" by Ali N Akansu Smith Akansu “Subband and Wavelet Transforms: Design and Applications” Book Review: This book offers a basic introduction to subband and wavelet transforms. It explains how to design and use wavelet transforms in various applications. The goal is to provide scientific knowledge and understanding that can help create accurate and practical models of the many physical processes that exist in the world. The book is primarily intended for students, teachers, and professionals in the fields of science and engineering, with a focus on computer, electronic, and electrical engineering, among others. It is a valuable resource for those seeking to expand their knowledge in these areas. 6."Wavelet Transforms and Time-Frequency Signal Analysis" by Debnath Lokenath Debnath “Wavelet Transforms and Time-Frequency Signal Analysis” Book Review: This book gives a thorough introduction to wavelet transforms and analyzing signals in the time-frequency domain. It covers the important developments in the mathematical theory of wavelet transforms and how they are applied in various scientific and engineering fields. Topics include wavelets, wavelet transforms, time-frequency signal analysis, and practical applications. The book is designed for students, teachers, and professionals in science and engineering, particularly those in computer, electronic, and electrical engineering, among other related disciplines. It is a valuable resource for gaining a deeper understanding of wavelet transforms and their real-world applications. 7."Wavelet Transforms and Localization Operators" by M. -W Wong and Man Wah Wong “Wavelet Transforms and Localization Operators” Book Review: This book offers an introduction to wavelet transforms and localization operators, providing a solid foundation in the subject. It explores the Schatten-von Neumann properties in depth and presents thorough discussions on the product formulas of localization operators. The book defines these operators in terms of infinite-dimensional and square-integrable representations and covers important concepts such as locally compact and Hausdorff groups. It discusses localization operators on affine groups, the Weyl-Heisenberg group, and wavelet multipliers on Euclidean space. With its focus on students, teachers, and professionals in the fields of science and engineering, this book serves as a valuable resource for gaining expertise in wavelet transforms and localization operators. 8."Wavelet Transform Using MATLAB" by Prof. Pooja Saxena “Wavelet Transform Using MATLAB” Book Review: This book offers an overview of wavelet transform using Matlab, providing insights into its applications in signal processing and its flexibility in design. It explains how wavelet transform allows for the analysis of signals in the time domain, providing information on signal amplitude. The book covers various topics, including the Short Time Fourier Transform, wavelet transform, frequency resolution, time-domain analysis, frequency-domain analysis, and more. Designed for students, teachers, and professionals in the fields of science and technology, this book serves as a valuable resource for understanding wavelet transform and its practical implications. 9."Introduction to Wavelet Transform: A Signal Processing Approach " by S V Narasimhan “Introduction to Wavelet Transform: A Signal Processing Approach” Book Review: This book offers an introduction to wavelet transform, providing detailed explanations of the signal processing approach. It assumes the reader has a basic understanding of physics, mathematics, and signals and systems. The book includes mathematical derivations and explanations of the physical meaning behind the mathematical relations to enhance understanding. Designed for students, teachers, and professionals in the fields of science and engineering, particularly computer, electronic, and electrical engineering, this book serves as a valuable resource for gaining a thorough understanding of wavelet transform. 10."Finite-Field Wavelet Transforms with Applications in Cryptography and Coding" by Faramarz Fekri and Farshid Delgosha “Finite-Field Wavelet Transforms with Applications in Cryptography and Coding” Book Review: This textbook targets graduate students, research engineers, and professionals in practice. It discusses the realm of wavelets and filter banks over finite-fields, examining their connection with error control coding and data encryption. The book establishes the “theory of wavelet transforms over finite-fields,” allowing for a wavelet decomposition of sequences defined over finite-fields. It presents the pioneering application of this theory to error-correcting codes and data security. The textbook introduces a new technique for public key encryption based on finite-field wavelets. 