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Wavelets with Fourier Analysis

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Description:A comprehensive, self-contained treatment of Fourier analysis and wavelets--now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level.The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature:The development of a Fourier series, Fourier transform, and discrete Fourier analysisImproved sections devoted to continuous wavelets and two-dimensional waveletsThe analysis of Haar, Shannon, and linear spline waveletsThe general theory of multi-resolution analysisUpdated MATLAB code and expanded applications to signal processingThe construction, smoothness, and computation of Daubechies' waveletsAdvanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transformApplications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples.A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Wavelets with Fourier Analysis. To get started finding Wavelets with Fourier Analysis, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: Wiley

Release: 2015

ISBN: 1118626192

Description: A comprehensive, self-contained treatment of Fourier analysis and wavelets--now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level.The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature:The development of a Fourier series, Fourier transform, and discrete Fourier analysisImproved sections devoted to continuous wavelets and two-dimensional waveletsThe analysis of Haar, Shannon, and linear spline waveletsThe general theory of multi-resolution analysisUpdated MATLAB code and expanded applications to signal processingThe construction, smoothness, and computation of Daubechies' waveletsAdvanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transformApplications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples.A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Wavelets with Fourier Analysis. To get started finding Wavelets with Fourier Analysis, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Wavelets with Fourier Analysis

Wavelets with Fourier Analysis

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