By Albert Boggess,Francis J. Narcowich

ISBN-10: 0470431172

ISBN-13: 9780470431177

A accomplished, self-contained therapy of Fourier research and wavelets—now in a brand new edition

Through expansive insurance and easy-to-follow factors, A First direction in Wavelets with Fourier Analysis, moment variation offers a self-contained mathematical therapy of Fourier research and wavelets, whereas uniquely offering sign research purposes and difficulties. crucial and basic rules are awarded with a view to make the publication available to a large viewers, and, moreover, their functions to sign processing are stored at an basic level.

The e-book starts off with an advent to vector areas, internal product areas, and different initial themes in research. next chapters feature:

  • The improvement of a Fourier sequence, Fourier remodel, and discrete Fourier analysis

  • Improved sections dedicated to non-stop wavelets and two-dimensional wavelets

  • The research of Haar, Shannon, and linear spline wavelets

  • The common concept of multi-resolution analysis

  • Updated MATLAB code and elevated functions to sign processing

  • The building, smoothness, and computation of Daubechies' wavelets

  • Advanced issues akin to wavelets in larger dimensions, decomposition and reconstruction, and wavelet transform

Applications to sign processing are supplied during the ebook, such a lot related to the filtering and compression of indications from audio or video. a few of these functions are provided first within the context of Fourier research and are later explored within the chapters on wavelets. New workouts introduce extra purposes, and entire proofs accompany the dialogue of every awarded concept. large appendices define extra complicated proofs and partial suggestions to routines in addition to up to date MATLAB exercises that complement the offered examples.

A First direction in Wavelets with Fourier Analysis, moment version is a superb e-book for classes in arithmetic and engineering on the upper-undergraduate and graduate degrees. it's also a helpful source for mathematicians, sign processing engineers, and scientists who desire to find out about wavelet idea and Fourier research on an simple level.

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A First Course in Wavelets with Fourier Analysis by Albert Boggess,Francis J. Narcowich

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