Information theory for continuous systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1993
|
| Series: | Series on probability and statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 308 S. |
| ISBN: | 9810209851 |
Staff View
MARC
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| 100 | 1 | |a Ihara, Shunsuke |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Information theory for continuous systems |c Shunsuke Ihara |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1993 | |
| 300 | |a XIII, 308 S. | ||
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| 490 | 0 | |a Series on probability and statistics | |
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| 650 | 4 | |a Entropy (Information theory) |x Mathematical models | |
| 650 | 4 | |a Neural transmission |x Mathematical models | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
vii
Chapter
1.
Entropy
1
1.1
Information Transmission
1
1.2
Entropy
4
1.3
Entropy for Continuous Distributions
13
1.4
Relative Entropy
20
1.5
Properties of Relative Entropy
29
1.6
Mutual Information
35
1.7
Rate-Distortion Function
41
1.8
Entropy for Gaussian Distributions
47
Historical Notes
56
Chapter
2.
Stochastic Processes and Entropy
57
2.1
Entropy Rate
57
2.2
Discrete Time Stationary Processes
63
2.3
Discrete Time Markov Stationary Processes
69
2.4
Entropy Rate of a Stationary Gaussian Process
76
2.5
Continuous Time Stationary Processes
83
2.6
Band Limited Processes
90
2.7
Discrete Time Observation of Continuous Time Processes
93
Historical Notes
96
xii CONTENTS
Chapter
3. Maximum
Entropy Analysis
98
3.1
Maximum Entropy and Minimum Relative Entropy
98
3.2
Large Deviation Theorems
110
3.3
Maximum Entropy Spectral Analysis
118
3.4
Hypothesis Testing
127
3.5
Hypothesis Testing for Stationary Gaussian Processes
134
Historical Notes
143
Chapter
4.
Theory of Information Transmission
144
4.1
Model of Communication Systems
144
4.2
Information Stability
148
4.3
Source Coding Theorems
153
4.4
Channel Capacity
158
4.5
Channel Coding Theorems
162
4.6
Fundamental Theorem in Information Transmission
171
Historical Notes
175
Chapter
5.
Discrete Time Gaussian Channels
177
5.1
Mutual Information in Channels with Additive Noise
177
5.2
Discrete Gaussian Channels
183
5.3
Mutual Information in Gaussian Systems
188
5.4
Capacity of Discrete White Gaussian Channels
195
5.5
Capacity of Discrete Gaussian Channels without Feedback
200
5.6
Optimal Codings in Discrete White Gaussian Channels
207
5.7
Capacity of Discrete Gaussian Channels with Feedback
210
5.8
Hate-Distortion Function
oî a
Discrete Gaussian Message
220
5.9
Coding Theorem for Discrete Gaussian Channels
223
Historical Notes
226
Chapter
6.
Continuous Time Gaussian Channels
228
6.1
Continuous Gaussian Channels
228
6.2
Mutual Information in White Gaussian Channels (I)
231
6.3
Mutual Information in White Gaussian Channels (II)
236
6.4
Capacity of White Gaussian Channels
250
6.5
Optimal Codings in White Gaussian Channels
254
6.6
Gaussian Channels without Feedback
258
CONTENTS
xiii
6.7
Stationary Gaussian Channels
263
6.8
Gaussian Channels with Feedback
268
6.9
Rate-Distortion Function of a Gaussian Process
277
6.10
Coding Theorem for Gaussian Channels
280
Historical Notes
285
Appendix. Preparation from Probability Theory
287
A.I
ProbabiĽty
and Random Variable
287
A.
2
Conditional Probability and Conditional Expectation
289
A.3 Stochastic Integral
292
Bibliography
293
List of Symbols
300
Subject Index
304
|
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV008817076 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:25:30Z |
| institution | BVB |
| isbn | 9810209851 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005833126 |
| oclc_num | 28337698 |
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| physical | XIII, 308 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific |
| record_format | marc |
| series2 | Series on probability and statistics |
| spelling | Ihara, Shunsuke Verfasser aut Information theory for continuous systems Shunsuke Ihara Singapore [u.a.] World Scientific 1993 XIII, 308 S. txt rdacontent n rdamedia nc rdacarrier Series on probability and statistics Mathematisches Modell Entropy (Information theory) Mathematical models Neural transmission Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s Entropie (DE-588)4014894-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005833126&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ihara, Shunsuke Information theory for continuous systems Mathematisches Modell Entropy (Information theory) Mathematical models Neural transmission Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Informationstheorie (DE-588)4026927-9 gnd Entropie (DE-588)4014894-4 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4026927-9 (DE-588)4014894-4 |
| title | Information theory for continuous systems |
| title_auth | Information theory for continuous systems |
| title_exact_search | Information theory for continuous systems |
| title_full | Information theory for continuous systems Shunsuke Ihara |
| title_fullStr | Information theory for continuous systems Shunsuke Ihara |
| title_full_unstemmed | Information theory for continuous systems Shunsuke Ihara |
| title_short | Information theory for continuous systems |
| title_sort | information theory for continuous systems |
| topic | Mathematisches Modell Entropy (Information theory) Mathematical models Neural transmission Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Informationstheorie (DE-588)4026927-9 gnd Entropie (DE-588)4014894-4 gnd |
| topic_facet | Mathematisches Modell Entropy (Information theory) Mathematical models Neural transmission Mathematical models Informationstheorie Entropie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005833126&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT iharashunsuke informationtheoryforcontinuoussystems |