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Books, Free Shipping, Information And Coding Theory

Posted at: Offers to Sell and Export | Posted on: Mon 26 Jul, 2010 8:15 am | Product Category: Reference books [3760]
 
books shipping coding theory
Products Photos CatalogBooks Shipping Coding Photos Catalog



Product Details

Author Gareth A.Jones


Publisher Tsinghua University Press

Isbn 9787302214885, 7302214883

Published

November 2009

Pages 210

Size 16K

Edition First

Format Paperback

Language English

Page material gelatine plate paper

Product Description:

Contents:

Preface

Notes to the Reader

1. Source Coding

1.1 Definitions and Examples

1.2 Uniquely Decodable Codes

1.3 Instantaneous Codes

1.4 Constructing Instantaneous Codes

1.5 Kraft's Inequality

1.6 McMillan's Inequality

1.7 Comments on Kraft's and McMillan's Inequalities

1.8 Supplementary Exercises

2. Optimal Codes

2.1 Optimality

2.2 Binary Huffman Codes

2.3 Average Word-length of Huffman Codes

2.4 Optimality of Binary Huffman Codes

2.5 r-ary Huffman Codes

2.6 Extensions of Sources

2.7 Supplementary Exercises

3. Entropy

3.1 Information and Entropy

3.2 Properties of the Entropy Function

3.3 Entropy and Average Word-length

3.4 Shannon-Fano Coding

3.5 Entropy of Extensions and Products

3.6 Shannon's First Theorem

3.7 An Example of Shannon's First Theorem

3.8 Supplementary Exercises

4. Information Channels

4.1 Notation and Definitions

4.2 The Binary Symmetric Channel

4.3 System Entropies

4.4 System Entropies for the Binary Symmetric Channel

4.5 Extension of Shannon's First Theorem to Information Channels

4.6 Mutual Information

4.7 Mutual Information for the Binary Symmetric Channel

4.8 Channel Capacity

4.9 Supplementary Exercises

5. Using an Unreliable Channel

5.1 Decision Rules

5.2 An Example of Improved Reliability

5.3 Hamming Distance

5.4 Statement and Outline Proof of Shannon's Theorem

5.5 The Converse of Shannon's Theorem

5.6 Comments on Shannon's Theorem

5.7 Supplementary Exercises

6. Error-correcting Codes

6.1 Introductory Concepts

6.2 Examples of Codes

6.3 Minimum Distance

6.4 Hamming's Sphere-packing Bound

6.5 The Gilbert-Varshamov Bound

6.6 Hadamard Matrices and Codes

6.7 Supplementary Exercises

7. Linear Codes

7.1 Matrix Description of Linear Codes

7.2 Equivalence of Linear Codes

7.3 Minimum Distance of Linear Codes

7.4 The Hamming Codes

7.5 The Golay Codes

7.6 The Standard Array

7.7 Syndrome Decoding

7.8 Supplementary Exercises

Suggestions for Further Reading

Appendix A. Proof of the Sardinas-Patterson Theorem

Appendix B. The Law of Large Numbers

Appendix C. Proof of Shannon's Fundamental Theorem

Solutions to Exercises

Bibliography

Index of Symbols and Abbreviations

Index



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