Network coding theory:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Hanover, Mass.
Now Publ.
2006
|
| Schriftenreihe: | Foundations and trends in communications and information theory
2,4/5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 147 S. graph. Darst. |
| ISBN: | 1933019247 9781933019246 |
Internformat
MARC
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| 264 | 1 | |a Hanover, Mass. |b Now Publ. |c 2006 | |
| 300 | |a V, 147 S. |b graph. Darst. | ||
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| 490 | 1 | |a Foundations and trends in communications and information theory |v 2,4/5 | |
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Datensatz im Suchindex
| _version_ | 1804136403691372544 |
|---|---|
| adam_text | Contents
1 Introduction 1
1.1 A historical perspective 1
1.2 Some examples 4
1 SINGLE SOURCE 9
2 Acyclic Networks 11
2.1 Network code and linear network code 12
2.2 Desirable properties of a linear network code 18
2.3 Existence and construction 25
2.4 Algorithm refinement for linear multicast 40
2.5 Static network codes 44
3 Cyclic Networks 51
3.1 Non equivalence between local and global descriptions 52
3.2 Convolutional network code 55
3.3 Decoding of convolutional network code 67
4 Network Coding and Algebraic Coding 73
V
4.1 The combination network 73
4.2 The Singleton bound and MDS codes 74
4.3 Network erasure/error correction and error detection 76
4.4 Further remarks 77
II MULTIPLE SOURCES 79
5 Superposition Coding and Max Flow Bound 81
5.1 Superposition coding 82
5.2 The max flow bound 85
6 Network Codes for Acyclic Networks 87
6.1 Achievable information rate region 87
6.2 Inner bound Uin 91
6.3 Outer bound 1Z0Ut 107
6.4 TZ lp ~ An explicit outer bound 111
7 Fundamental Limits of Linear Codes 117
7.1 Linear network codes for multiple sources 117
7.2 Entropy and the rank function 119
7.3 Can nonlinear codes be better asymptotically? 122
Appendix A Global Linearity versus Nodal Linearity 127
Acknowledgements 133
References 135
|
| adam_txt |
Contents
1 Introduction 1
1.1 A historical perspective 1
1.2 Some examples 4
1 SINGLE SOURCE 9
2 Acyclic Networks 11
2.1 Network code and linear network code 12
2.2 Desirable properties of a linear network code 18
2.3 Existence and construction 25
2.4 Algorithm refinement for linear multicast 40
2.5 Static network codes 44
3 Cyclic Networks 51
3.1 Non equivalence between local and global descriptions 52
3.2 Convolutional network code 55
3.3 Decoding of convolutional network code 67
4 Network Coding and Algebraic Coding 73
V
4.1 The combination network 73
4.2 The Singleton bound and MDS codes 74
4.3 Network erasure/error correction and error detection 76
4.4 Further remarks 77
II MULTIPLE SOURCES 79
5 Superposition Coding and Max Flow Bound 81
5.1 Superposition coding 82
5.2 The max flow bound 85
6 Network Codes for Acyclic Networks 87
6.1 Achievable information rate region 87
6.2 Inner bound Uin 91
6.3 Outer bound 1Z0Ut 107
6.4 TZ lp ~ An explicit outer bound 111
7 Fundamental Limits of Linear Codes 117
7.1 Linear network codes for multiple sources 117
7.2 Entropy and the rank function 119
7.3 Can nonlinear codes be better asymptotically? 122
Appendix A Global Linearity versus Nodal Linearity 127
Acknowledgements 133
References 135 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:01:47Z |
| indexdate | 2024-07-09T20:55:51Z |
| institution | BVB |
| isbn | 1933019247 9781933019246 |
| language | English |
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| series | Foundations and trends in communications and information theory |
| series2 | Foundations and trends in communications and information theory |
| spelling | Network coding theory Raymond W. Yeung ... Hanover, Mass. Now Publ. 2006 V, 147 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Foundations and trends in communications and information theory 2,4/5 Coding theory Computer networks Information theory Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 s DE-604 Yeung, Raymond W. Sonstige oth Foundations and trends in communications and information theory 2,4/5 (DE-604)BV035970515 2,4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015566240&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Network coding theory Foundations and trends in communications and information theory Coding theory Computer networks Information theory Codierungstheorie (DE-588)4139405-7 gnd |
| subject_GND | (DE-588)4139405-7 |
| title | Network coding theory |
| title_auth | Network coding theory |
| title_exact_search | Network coding theory |
| title_exact_search_txtP | Network coding theory |
| title_full | Network coding theory Raymond W. Yeung ... |
| title_fullStr | Network coding theory Raymond W. Yeung ... |
| title_full_unstemmed | Network coding theory Raymond W. Yeung ... |
| title_short | Network coding theory |
| title_sort | network coding theory |
| topic | Coding theory Computer networks Information theory Codierungstheorie (DE-588)4139405-7 gnd |
| topic_facet | Coding theory Computer networks Information theory Codierungstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015566240&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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