Editor Board
Dedication
Preface
1 Audience
2 Course Use
3 Approach
4 Learning from This Book
5 Content and Organization
6 A Personal View
Acknowledgments
Introduction
1.1 Compression Techniques
1.2 Modeling and Coding
1.3 Summary
1.4 Projects and Problems
References
Mathematical Preliminaries for Lossless Compression
2.1 Overview
2.2 A Brief Introduction to Information Theory
2.3 Models
2.4 Coding
2.5 Algorithmic Information Theory
2.6 Minimum Description Length Principle
2.7 Summary
2.8 Projects and Problems
References
Huffman Coding
3.1 Overview
3.2 The Huffman Coding Algorithm
3.3 Nonbinary Huffman Codes
3.4 Adaptive Huffman Coding
3.5 Golomb Codes
3.6 Rice Codes
3.7 Tunstall Codes
3.8 Applications of Huffman Coding
3.9 Summary
Further Reading
3.10 Projects and Problems
References
Arithmetic Coding
4.1 Overview
4.2 Introduction
4.3 Coding a Sequence
4.4 Generating a Binary Code
4.5 Adaptive Arithmetic Coding
4.6 Binary Arithmetic Coding
4.7 Comparison of Huffman and Arithmetic Coding
4.8 Applications
4.9 Summary
4.10 Projects and Problems
References
Dictionary Techniques
5.1 Overview
5.2 Introduction
5.3 Static Dictionary
5.4 Adaptive Dictionary
5.5 Applications
5.6 Beyond Compression—Lempel-Ziv Complexity
5.7 Summary
5.8 Projects and Problems
References
Context-Based Compression
6.1 Overview
6.2 Introduction
6.3 Prediction with Partial Match (ppm)
6.4 The Burrows-Wheeler Transform
6.5 Associative Coder of Buyanovsky (ACB)
6.6 Dynamic Markov Compression
6.7 Summary
6.8 Projects and Problems
References
Lossless Image Compression
7.1 Overview
7.2 Introduction
7.3 CALIC
7.4 JPEG-LS
7.5 Prediction Using Conditional Averages
7.6 Multiresolution Approaches
7.7 Facsimile Encoding
7.8 MRC–T.44
7.9 Summary
7.10 Projects and Problems
References
Mathematical Preliminaries for Lossy Coding
8.1 Overview
8.2 Introduction
8.3 Distortion Criteria
8.4 Information Theory Revisited
8.5 Rate Distortion Theory
8.6 Models
8.7 Summary
8.8 Projects and Problems
References
Scalar Quantization
9.1 Overview
9.2 Introduction
9.3 The Quantization Problem
9.4 Uniform Quantizer
9.5 Adaptive Quantization
9.6 Nonuniform Quantization
9.7 Entropy-Coded Quantization
9.8 Summary
9.9 Projects and Problems
References
Vector Quantization
10.1 Overview
10.2 Introduction
10.3 Advantages of Vector Quantization over Scalar Quantization
10.4 The Linde-Buzo-Gray Algorithm
10.5 Tree-Structured Vector Quantizers
10.6 Structured Vector Quantizers
10.7 Variations on the Theme
10.8 Trellis-Coded Quantization
10.9 Summary
Further Reading
10.10 Projects and Problems
References
Differential Encoding
11.1 Overview
11.2 Introduction
11.3 The Basic Algorithm
11.4 Prediction in DPCM
11.5 Adaptive DPCM
11.6 Delta Modulation
11.7 Speech Coding
11.8 Image Coding
11.9 Summary
11.10 Projects and Problems
References
Mathematical Preliminaries for Transforms, Subbands, and Wavelets
12.1 Overview
12.2 Introduction
12.3 Vector Spaces
12.4 Fourier Series
12.5 Fourier Transform
12.6 Linear Systems
12.7 Sampling
12.8 Discrete Fourier Transform
12.9 Z-Transform
12.10 Summary
12.11 Projects and Problems
References
Transform Coding
13.1 Overview
13.2 Introduction
13.3 The Transform
13.4 Transforms of Interest
13.5 Quantization and Coding of Transform Coefficients
13.6 Application to Image Compression– JPEG
13.7 Application to Audio Compression–The MDCT
13.8 Summary
13.9 Projects and Problems
References
Subband Coding
14.1 Overview
14.2 Introduction
14.3 Filters
14.4 The Basic Subband Coding Algorithm
14.5 Design of Filter Banks
14.6 Perfect Reconstruction Using Two-Channel Filter Banks
14.7 M-Band QMF Filter Banks
14.8 The Polyphase Decomposition
14.9 Bit Allocation
14.10 Application to Speech Coding—G.722
14.11 Application to Audio Coding—MPEG Audio
14.12 Application to Image Compression
14.13 Summary
14.14 Projects and Problems
References
Wavelets
15.1 Overview
15.2 Introduction
15.3 Wavelets
15.4 Multiresolution Analysis and the Scaling Function
15.5 Implementation Using Filters
15.6 Biorthogonal Wavelets
15.7 Lifting
15.8 Summary
Further Reading
15.9 Projects and Problems
References
Wavelet-Based Image Compression
16.1 Overview
16.2 Introduction
16.3 Embedded Zerotree Coder
16.4 Set Partitioning in Hierarchical Trees
16.5 JPEG 2000
16.6 Summary
16.7 Projects and Problems
References
Audio Coding
17.1 Overview
17.2 Introduction
17.3 MPEG Audio Coding
17.4 MPEG Advanced Audio Coding
17.5 Dolby AC-3 (Dolby Digital)
17.6 Other Standards
17.7 Summary
References
Analysis/Synthesis and Analysis by Synthesis Schemes
18.1 Overview
18.2 Introduction
18.3 Speech Compression
18.4 Wideband Speech Compression—ITU-T G.722.2
18.5 Coding of Speech for Internet Applications
18.6 Image Compression
18.7 Summary
18.8 Projects and Problems
References
Video Compression
19.1 Overview
19.2 Introduction
19.3 Motion Compensation
19.4 Video Signal Representation
19.5 ITU-T Recommendation H.261
19.6 Model-Based Coding
19.7 Asymmetric Applications
19.8 The MPEG-1 Video Standard
19.9 The MPEG-2 Video Standard—H.262
19.10 ITU-T Recommendation H.263
19.11 ITU-T Recommendation H.264, MPEG-4 Part 10, Advanced Video Coding
19.12 MPEG-4 Part 2
19.13 Packet Video
19.14 Summary
19.15 Projects and Problems
References
Appendix A. Probability and Random Processes
A.1 Probability
A.2 Random Variables
A.3 Distribution Functions
A.4 Expectation
A.5 Types of Distribution
A.6 Stochastic Process
A.7 Projects and Problems
References
Appendix B. A Brief Review of Matrix Concepts
B.1 A Matrix
B.2 Matrix Operations
References
Appendix C. The Root Lattices
References
Bibliography
Index
