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【簡介】 A thorough guide to the classical and contemporary mathematicalmethods of modern signal and image processing Discrete Fourier Analysis and Wavelets presents athorough introduction to the mathematical foundations of signal andimage processing. Key concepts and applications are addressed in athought-provoking manner and are implemented using vector, matrix,and linear algebra methods. With a balanced focus on mathematicaltheory and computational techniques, this self-contained bookequips readers with the essential knowledge needed to transitionsmoothly from mathematical models to practical digital dataapplications. The book first establishes a complete vector space and matrixframework for analyzing signals and images. Classical methods suchas the discrete Fourier transform, the discrete cosine transform,and their application to JPEG compression are outlined followed bycoverage of the Fourier series and the general theory of innerproduct spaces and orthogonal bases. The book then addressesconvolution, filtering, and windowing techniques for signals andimages. Finally, modern approaches are introduced, includingwavelets and the theory of filter banks as a means of understandingthe multiscale localized analysis underlying the JPEG 2000compression standard. Throughout the book, examples using image compressiondemonstrate how mathematical theory translates into application.Additional applications such as progressive transmission of images,image denoising, spectrographic analysis, and edge detection arediscussed. Each chapter provides a series of exercises as well as aMATLAB project that allows readers to apply mathematical conceptsto solving real problems. Additional MATLAB routines are availablevia the book's related Web site. With its insightful treatment of the underlying mathematics inimage compression and signal processing, Discrete FourierAnalysis and Wavelets is an ideal book formathematics, engineering, and computer science courses at theupper-undergraduate and beginning graduate levels. It is also avaluable resource for mathematicians, engineers, and otherpractitioners who would like to learn more about the relevance ofmathematics in digital data processing. 【目錄】
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【原文書】 書名:Discrete-Time Signal Processing 3/e IE 作者:Alan V. Oppenheim ISBN:9780132067096 出版社:PEARSON 內容簡介 For senior/graduate-level courses in Discrete-Time Signal Processing.THE definitive, authoritative text on DSP — ideal for those with an introductory-level knowledge of signals and systems. Written by prominent DSP pioneers, it provides thorough treatment of the fundamental theorems and properties of discrete-time linear systems, filtering, sampling, and discrete-time Fourier Analysis. By focusing on the general and universal concepts in discrete-time signal processing, it remains vital and relevant to the new challenges arising in the field.Access to the password-protected companion Website and myeBook is included with each new copy of Discrete-Time Signal Processing, Third Edition.Ch 1:IntroductionCh 2:Discrete Time-Signals and SystemsCh 3:The z-TransformCh 4:Sampling of Continuous-Time SignalsCh 5:Transform Analysis of Linear Time-Invariant SystemsCh 6:Structures for Discrete-Time SystemsCh 7:Filter Design TechniquesCh 8:The Discrete Fourier TransformCh 9:Computation of the Discrete Fourier TransformCh 10:Fourier Analysis of Signals Using the Discrete Fourier TransformCh 11:Parametric Signal ModelingCh 12:Discrete Hilbert TransformsCh 13:Cepstrum Analysis and Homomorphic DeconvolutionAppendix A. Random SignalsAppendix B. Continuous-Time FiltersAppendix C. Answers to Selected Basic Problems 目錄 Ch 1:Introduction Ch 2:Discrete Time-Signals and Systems Ch 3:The z-Transform Ch 4:Sampling of Continuous-Time Signals Ch 5:Transform Analysis of Linear Time-Invariant Systems Ch 6:Structures for Discrete-Time Systems Ch 7:Filter Design Techniques Ch 8:The Discrete Fourier Transform Ch 9:Computation of the Discrete Fourier Transform Ch 10:Fourier Analysis of Signals Using the Discrete Fourier Transform Ch 11:Parametric Signal Modeling Ch 12:Discrete Hilbert Transforms Ch 13:Cepstrum Analysis and Homomorphic Deconvolution Appendix A. Random Signals Appendix B. Continuous-Time Filters Appendix C. Answers to Selected Basic Problems
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