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书名 信息论的编码定理(第3版英文版香农信息科学经典)
分类 计算机-操作系统
作者 (美)雅各布·沃尔福威茨
出版社 世界图书出版公司
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简介
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本书共有15章,内容丰富详实,还包含了相当多的历史评论和大量的参考书目,为读者进一步阅读拓展知识面提供了参考书目。
目录
1.Heuristic Introduction to the Discrete Memoryless Channel
2.Combinatorial Preliminaries
2.1.Generated sequences
2.2.Properties of the entropy function
Remarks
3.The Discrete Memoryless Channel
3.1.Description of the channel
3.2.A coding theorem
3.3.The strong converse
3.4.Strong converse for the binary symmetric channel
3.5.The finite-state channel with state calculable by both sender and receiver
3.6.The finite-state channel with state calculable only by the sender
Remarks
4.Compound Channels
4.1.Introduction
4.2.The canonical channel
4.3.A coding theorem
4.4.Strong converse
4.5.Compound d.m.c. with c.p.f. known only to the receiver or only to the sender
4.6.Channels where the c.p.f. for each letter is stochastically determined
4.7.Proof of Theorem 4.6.4.
4.8.The d.m.c. with feedback
Remarks
5.The Discrete Finite-Memory Channel
5.1.The discrete channel
5.2.The discrete finite-memory channel
5.3.The coding theorem for the d.f.m.c.
5.4.Strong converse of the coding theorem for the d.f.m.c.
5.5.Rapidity of approach to C in the d.f.m.c.
5.6.Discussion of the d.f.m.c.
Remarks
6.Channels with Arbitrarily Varying Channel Probability Functions
6.1.Introduction
6.2.Necessary and sufficient conditions for a positive rate of transmission
6.3. Remarks on the capacity of an arbitrarily varying channel
6.4.The capacity C of an arbitrarily varying channel when b=2
6.5.Certain results for the general arbitrarily varying channel
Remarks
7.General Discrete Channels
7.1.Alternative description of the general discrete channel
7.2.The method of maximal codes
7.3.The method of random codes
7.4.Weak converses
7.5.Digression on the d.m.c.
7.6.Discussion of the foregoing
7.7.Channels without a capacity
7.8.Strong converses
7.9.The strong converse for the d.m.c. revisited
Remarks
8.The Semi-Continuous Memoryless Channel
8.1.Introduction
8.2.A coding theorem and its strong converse
9.Continuous Channels with Additive Gaussian Noise
9.1.A continuous memoryless channel with additive Gaussian noise
9.2.Message sequences within a suitable sphere
9.3.Message sequences on the periphery of the sphere orwithin a shell adjacent to the boundary
9.4.Another proof of Theorems 9.2.1 and 9.2.2
Remarks
10.Mathematical Miscellanea
10.1.Introduction
10.2.The asymptotic equipartition property
10.3.Admissibility of an ergodic input for a discrete finite- memory channel
11.Fundamentals of Rate Distortion Theory
11.1.Introduction
11.2.The approximation theorem
11.3.Converse of the approximation theorem
11.4.Summary of the previous results
11.5.The rate distortion function when side information is available
Remarks
12.Source Coding
12.1.Separate coding to span the product of two spaces
12.2.Source coding with side information at the decoder
12.3.Encoding assisted by a common channel
Remarks
13.Source Coding and Rate Distortion
13.1.The problem of Section 12.3 for rate distortion
13.2.The rate distortion function for source coding with side information at the decoder
14.Multiple Access Channels
14.1.Description of the problem
14.2.A coding theorem
14.3.Converse of the coding theorem
14.4.Miscellaneous remarks
15.Degraded Broadcast Channels
15.1.Formulation of the problem
15.2.A coding theorem
15.3.Beginning of the proof of the strong converse
15.4.Proof of the weak converse
15.5.Miscellaneous remarks
References
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