Discrete Wavelet Transform : A Signal Processing Approach.

Intro -- Title Page -- Copyright -- Table of Contents -- Preface -- List of Abbreviations -- Chapter 1: Introduction -- 1.1 The Organization of This Book -- Chapter 2: Signals -- 2.1 Signal Classifications -- 2.2 Basic Signals -- 2.3 The Sampling Theorem and the Aliasing Effect -- 2.4 Signal Operations -- 2.5 Summary -- Exercises -- Chapter 3: Convolution and Correlation -- 3.1 Convolution -- 3.2 Correlation -- 3.3 Summary -- Exercises -- Chapter 4: Fourier Analysis of Discrete Signals -- 4.1 Transform Analysis -- 4.2 The Discrete Fourier Transform -- 4.3 The Discrete-Time Fourier Transform -- 4.4 Approximation of the DTFT -- 4.5 The Fourier Transform -- 4.6 Summary -- Exercises -- Chapter 5: The z-Transform -- 5.1 The Z-Transform -- 5.2 Properties of the Z-Transform -- 5.3 Summary -- Exercises -- Chapter 6: Finite Impulse Response Filters -- 6.1 Characterization -- 6.2 Linear Phase Response -- 6.3 Summary -- Exercises -- Chapter 7: Multirate Digital Signal Processing -- 7.1 Decimation -- 7.2 Interpolation -- 7.3 Two-Channel Filter Bank -- 7.4 Polyphase Form of the Two-Channel Filter Bank -- 7.5 Summary -- Exercises -- Chapter 8: The Haar Discrete Wavelet Transform -- 8.1 Introduction -- 8.2 The Haar Discrete Wavelet Transform -- 8.3 The Time-Frequency Plane -- 8.4 Wavelets from the Filter Coefficients -- 8.5 The 2-D Haar Discrete Wavelet Transform -- 8.6 Discontinuity Detection -- 8.7 Summary -- Exercises -- Chapter 9: Orthogonal Filter Banks -- 9.1 Haar Filter -- 9.2 Daubechies Filter -- 9.3 Orthogonality Conditions -- 9.4 Coiflet Filter -- 9.5 Summary -- Exercises -- Chapter 10: Biorthogonal Filter Banks -- 10.1 Biorthogonal Filters -- 10.2 5/3 Spline Filter -- 10.3 4/4 Spline Filter -- 10.4 CDF 9/7 Filter -- 10.5 Summary -- Exercises -- Chapter 11: Implementation of the Discrete Wavelet Transform.

11.1 Implementation of the DWT with Haar Filters -- 11.2 Symmetrical Extension of the Data -- 11.3 Implementation of the DWT with the D4 Filter -- 11.4 Implementation of the DWT with Symmetrical Filters -- 11.5 Implementation of the DWT using Factorized Polyphase Matrix -- 11.6 Summary -- Exercises -- Chapter 12: The Discrete Wavelet Packet Transform -- 12.1 The Discrete Wavelet Packet Transform -- 12.2 Best Representation -- 12.3 Summary -- Exercises -- Chapter 13: The Discrete Stationary Wavelet Transform -- 13.1 The Discrete Stationary Wavelet Transform -- 13.2 Summary -- Exercises -- Chapter 14: The Dual-Tree Discrete Wavelet Transform -- 14.1 The Dual-Tree Discrete Wavelet Transform -- 14.2 The Scaling and Wavelet Functions -- 14.3 Computation of the DTDWT -- 14.4 Summary -- Exercises -- Chapter 15: Image Compression -- 15.1 Lossy Image Compression -- 15.2 Lossless Image Compression -- 15.3 Recent Trends in Image Compression -- 15.4 Summary -- Exercises -- Chapter 16: Denoising -- 16.1 Denoising -- 16.2 VisuShrink Denoising Algorithm -- 16.3 Summary -- Exercises -- Bibliography -- Answers to Selected Exercises -- Index -- End User License Agreement.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.