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Wavelets and Wavelet Transform Systems and Their Applications

2022-02-02 Technology & Engineering
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Release : 2022-02-02
Genre : Technology & Engineering
Kind : eBook
Book Rating : 288/5 ( reviews)

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Book Synopsis Wavelets and Wavelet Transform Systems and Their Applications by : Cajetan M. Akujuobi

Download or read book Wavelets and Wavelet Transform Systems and Their Applications written by Cajetan M. Akujuobi. This book was released on 2022-02-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Wavelets

2016-06-03 Science
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Release : 2016-06-03
Genre : Science
Kind : eBook
Book Rating : 864/5 ( reviews)

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Book Synopsis An Introduction to Wavelets by : Charles K. Chui

Download or read book An Introduction to Wavelets written by Charles K. Chui. This book was released on 2016-06-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wavelet Transforms and Their Applications

2014-11-25 Technology & Engineering
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Release : 2014-11-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 182/5 ( reviews)

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Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath

Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath. This book was released on 2014-11-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wavelets and their Applications

2013-03-01 Technology & Engineering
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Release : 2013-03-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 597/5 ( reviews)

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Book Synopsis Wavelets and their Applications by : Michel Misiti

Download or read book Wavelets and their Applications written by Michel Misiti. This book was released on 2013-03-01. Available in PDF, EPUB and Kindle. Book excerpt: The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.

Wavelet Theory and Its Applications

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 840/5 ( reviews)

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Book Synopsis Wavelet Theory and Its Applications by : Randy K. Young

Download or read book Wavelet Theory and Its Applications written by Randy K. Young. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.

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