Discrete Fourier Analysis and Wavelets : Applications to Signal and Image Processing


S. Allen. Broughton
Bok Engelsk 2011 · Electronic books.
Annen tittel
Utgitt
Hoboken : : Wiley, , 2011.
Omfang
1 online resource (356 p.)
Opplysninger
Description based upon print version of record.. - Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing; CONTENTS; PREFACE; ACKNOWLEDGMENTS; 1 VECTOR SPACES, SIGNALS, AND IMAGES; 1.1 Overview; 1.2 Some Common Image Processing Problems; 1.3 Signals and Images; 1.4 Vector Space Models for Signals and Images; 1.5 Basic Waveforms-The Analog Case; 1.6 Sampling and Aliasing; 1.7 Basic Waveforms-The Discrete Case; 1.8 Inner Product Spaces and Orthogonality; 1.9 Signal and Image Digitization; 1.10 Infinite-dimensional Inner Product Spaces; 1.11 Matlab Project; Exercises; 2 THE DISCRETE FOURIER TRANSFORM; 2.1 Overview. - 2.2 The Time Domain and Frequency Domain2.3 A Motivational Example; 2.4 The One-dimensional DFT; 2.5 Properties of the DFT; 2.6 The Fast Fourier Transform; 2.7 The Two-dimensional DFT; 2.8 Matlab Project; Exercises; 3 THE DISCRETE COSINE TRANSFORM; 3.1 Motivation for the DCT-Compression; 3.2 Other Compression Issues; 3.3 Initial Examples-Thresholding; 3.4 The Discrete Cosine Transform; 3.5 Properties of the DCT; 3.6 The Two-dimensional DCT; 3.7 Block Transforms; 3.8 JPEG Compression; 3.9 Matlab Project; Exercises; 4 CONVOLUTION AND FILTERING; 4.1 Overview; 4.2 One-dimensional Convolution. - 4.3 Convolution Theorem and Filtering4.4 2D Convolution-Filtering Images; 4.5 Infinite and Bi-infinite Signal Models; 4.6 Matlab Project; Exercises; 5 WINDOWING AND LOCALIZATION; 5.1 Overview: Nonlocality of the DFT; 5.2 Localization via Windowing; 5.3 Matlab Project; Exercises; 6 FILTER BANKS; 6.1 Overview; 6.2 The Haar Filter Bank; 6.3 The General One-stage Two-channel Filter Bank; 6.4 Multistage Filter Banks; 6.5 Filter Banks for Finite Length Signals; 6.6 The 2D Discrete Wavelet Transform and JPEG 2000; 6.7 Filter Design; 6.8 Matlab Project; 6.9 Alternate Matlab Project; Exercises. - 7 WAVELETS7.1 Overview; 7.2 The Haar Basis; 7.3 Haar Wavelets versus the Haar Filter Bank; 7.4 Orthogonal Wavelets; 7.5 Biorthogonal Wavelets; 7.6 Matlab Project; Exercises; REFERENCES; SOLUTIONS; INDEX. - A thorough guide to the classical and contemporary mathematical methods of modern signal and image processing Discrete Fourier Analysis and Wavelets presents a thorough introduction to the mathematical foundations of signal and image processing. Key concepts and applications are addressed in a thought-provoking manner and are implemented using vector, matrix, and linear algebra methods. With a balanced focus on mathematical theory and computational techniques, this self-contained book equips readers with the essential knowledge needed to transition smoothly from mathemat
Emner
Sjanger
Dewey
ISBN
9780470294666

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