Wavelets and Wavelet Transform Systems and Their Applications

Wavelets and Wavelet Transform Systems and Their Applications

Author: Cajetan M. Akujuobi

Publisher:

Published: 2022

Total Pages: 0

ISBN-13: 9783030875299

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This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines. The book is written to serve the needs of a one or two semester course at either the undergraduate or graduate level. The author uses a very simplified, accessible approach that de-emphasizes mathematical rigor. The presentation includes many diagrams to illustrate points being discussed and uses MATLAB for all of application code. The author reinforces concepts introduced in the book with easy to grasp review questions and problems, tailored to each specific chapter for better mastery of the subject matter. This book enables students to understand the fundamental concepts of wavelets and wavelet transforms, as well as how to use them for problem solutions in digital signal and image processing, mixed-signal testing, space applications, aerospace applications, biomedical, cyber security, homeland security and many other application areas. Provides textbook coverage of Wavelets and applications, suitable for one and two semester courses, either at the undergraduate or graduate level; Discusses many types of wavelets and their applications across many disciplines; Includes MATLAB code illustrations to simplify the understanding of the various applications; Uses many illustrations, figures, tables, and visual comparisons to simplify and clarify the various concepts of wavelets, wavelet transforms and the various application areas; Ends each chapter with review questions/answers, as well as exercises to reinforce and test concepts introduced; Solutions manual and PowerPoint slides for each chapter available for instructors.


Wavelets

Wavelets

Author: Charles K. Chui

Publisher: SIAM

Published: 1997-01-01

Total Pages: 223

ISBN-13: 0898713846

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Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.


Computational Signal Processing with Wavelets

Computational Signal Processing with Wavelets

Author: Anthony Teolis

Publisher: Birkhäuser

Published: 2017-10-02

Total Pages: 345

ISBN-13: 331965747X

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This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. The text is written in a clear, accessible style avoiding unnecessary abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the World Wide Web. Topics and Features Continuous wavelet and Gabor transforms Frame-based theory of discretization and reconstruction of analog signals is developed New and efficient "overcomplete" wavelet transform is introduced and applied Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. The present, softcover reprint is designed to make this classic textbook available to a wider audience. A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic...is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results. —Journal of Mathematical Psychology


Fundamentals of Wavelets

Fundamentals of Wavelets

Author: Jaideva C. Goswami

Publisher: John Wiley & Sons

Published: 2011-03-08

Total Pages: 310

ISBN-13: 0470934646

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Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems


Discrete Wavelet Transform

Discrete Wavelet Transform

Author: D. Sundararajan

Publisher: John Wiley & Sons

Published: 2016-03-07

Total Pages: 339

ISBN-13: 1119046068

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Provides easy learning and understanding of DWT from a signal processing point of view Presents DWT from a digital signal processing point of view, in contrast to the usual mathematical approach, making it highly accessible Offers a comprehensive coverage of related topics, including convolution and correlation, Fourier transform, FIR filter, orthogonal and biorthogonal filters Organized systematically, starting from the fundamentals of signal processing to the more advanced topics of DWT and Discrete Wavelet Packet Transform. Written in a clear and concise manner with abundant examples, figures and detailed explanations Features a companion website that has several MATLAB programs for the implementation of the DWT with commonly used filters “This well-written textbook is an introduction to the theory of discrete wavelet transform (DWT) and its applications in digital signal and image processing.” -- Prof. Dr. Manfred Tasche - Institut für Mathematik, Uni Rostock Full review at https://zbmath.org/?q=an:06492561


Wavelet Analysis

Wavelet Analysis

Author: Howard L. Resnikoff

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 446

ISBN-13: 146120593X

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This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.


Wavelets and Subbands

Wavelets and Subbands

Author: Agostino Abbate

Publisher: Springer Science & Business Media

Published: 2002

Total Pages: 574

ISBN-13: 9780817641368

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Wavelets and Subbands is designed to present an understanding of wavelets and their development from a continuous-domain transformation to a frame representation and finally to multiresolution analysis tools such as subband decomposition. The book presents a theoretical understanding of the subject that is intertwined with practical examples and applications of wavelets in ultrasonic and biomedical domains. There is special emphasis on applications in communications, compression, and image processing.


Fundamentals Of Wavelets:Theory, Algorithms And Applications

Fundamentals Of Wavelets:Theory, Algorithms And Applications

Author: Goswami

Publisher:

Published: 2006-11-21

Total Pages: 324

ISBN-13: 9788126510320

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Fundamentals of Wavelets offer a practical, up-to-date overview of wavelet theory from an engineering point of view. Based on courses taught by the authors at Texas A&M University and at professional, international, technical conferences, this accessible yet detailed treatment provides readers with a clear understanding of the theory and the application of wavelet analysis in many areas of engineering. · Mathematical Preliminaries· Fourier Analysis· Time-Frequency Analysis· Multi resolution Analysis· Construction of Wavelets· Discrete Wavelet Transform and Filter Bank Algorithms· Fast Integral Transform and Applications· Digital Signal Processing Applications· Wavelets in Boundary Value Problems