Introduction to coding and information theory:
This book is an introduction to coding and information theory, with an emphasis on coding theory. It is suitable for undergraduates with a modest mathematical background. While some previous knowledge of elementary linear algebra is helpful, it is not essential. All of the needed elementary discrete...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | [Nachdr.] |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Zusammenfassung: | This book is an introduction to coding and information theory, with an emphasis on coding theory. It is suitable for undergraduates with a modest mathematical background. While some previous knowledge of elementary linear algebra is helpful, it is not essential. All of the needed elementary discrete probability is developed in a preliminary chapter. After a preliminary chapter, there follows an introductory chapter on variable-length codes that culminates in Kraft's Theorem. Two chapters on Information Theory follow - the first on Huffman encoding and the second on the concept of the entropy of an information source, culminating in a discussion of Shannon's Noiseless Coding Theorem. The remaining four chapters cover the theory of error-correcting block codes. The first chapter covers communication channels, decision rules, nearest neighbor decoding, perfect codes, the main coding theory problem, the sphere-packing, Singleton and Plotkin bounds, and a brief discussion of the Noisy Coding Theorem. There follows a chapter on linear codes that begins with a discussion of vector spaces over the field [actual symbol not reproducible]. The penultimate chapter is devoted to a study of the Hamming, Golay, and Reed-Muller families of codes, along with some decimal codes and some codes obtained from Latin squares. The final chapter contains a brief introduction to cyclic codes. |
| Beschreibung: | XIII, 323 S. graph. Darst. |
| ISBN: | 0387947043 |
Internformat
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| 100 | 1 | |a Roman, Steven |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to coding and information theory |c Steven Roman |
| 250 | |a [Nachdr.] | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XIII, 323 S. |b graph. Darst. | ||
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| 490 | 0 | |a Undergraduate texts in mathematics | |
| 520 | 3 | |a This book is an introduction to coding and information theory, with an emphasis on coding theory. It is suitable for undergraduates with a modest mathematical background. While some previous knowledge of elementary linear algebra is helpful, it is not essential. All of the needed elementary discrete probability is developed in a preliminary chapter. After a preliminary chapter, there follows an introductory chapter on variable-length codes that culminates in Kraft's Theorem. Two chapters on Information Theory follow - the first on Huffman encoding and the second on the concept of the entropy of an information source, culminating in a discussion of Shannon's Noiseless Coding Theorem. The remaining four chapters cover the theory of error-correcting block codes. The first chapter covers communication channels, decision rules, nearest neighbor decoding, perfect codes, the main coding theory problem, the sphere-packing, Singleton and Plotkin bounds, and a brief discussion of the Noisy Coding Theorem. There follows a chapter on linear codes that begins with a discussion of vector spaces over the field [actual symbol not reproducible]. The penultimate chapter is devoted to a study of the Hamming, Golay, and Reed-Muller families of codes, along with some decimal codes and some codes obtained from Latin squares. The final chapter contains a brief introduction to cyclic codes. | |
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Datensatz im Suchindex
| _version_ | 1804128369270325248 |
|---|---|
| any_adam_object | |
| author | Roman, Steven |
| author_facet | Roman, Steven |
| author_role | aut |
| author_sort | Roman, Steven |
| author_variant | s r sr |
| building | Verbundindex |
| bvnumber | BV013567908 |
| callnumber-first | Q - Science |
| callnumber-label | QA268 |
| callnumber-raw | QA268 |
| callnumber-search | QA268 |
| callnumber-sort | QA 3268 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 170 SK 830 SK 880 |
| ctrlnum | (OCoLC)34355037 (DE-599)BVBBV013567908 |
| dewey-full | 005.7/2 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 005 - Computer programming, programs, data, security |
| dewey-raw | 005.7/2 |
| dewey-search | 005.7/2 |
| dewey-sort | 15.7 12 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| edition | [Nachdr.] |
| format | Book |
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| id | DE-604.BV013567908 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:48:09Z |
| institution | BVB |
| isbn | 0387947043 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009266991 |
| oclc_num | 34355037 |
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| owner | DE-20 |
| owner_facet | DE-20 |
| physical | XIII, 323 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spelling | Roman, Steven Verfasser aut Introduction to coding and information theory Steven Roman [Nachdr.] New York [u.a.] Springer 1997 XIII, 323 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics This book is an introduction to coding and information theory, with an emphasis on coding theory. It is suitable for undergraduates with a modest mathematical background. While some previous knowledge of elementary linear algebra is helpful, it is not essential. All of the needed elementary discrete probability is developed in a preliminary chapter. After a preliminary chapter, there follows an introductory chapter on variable-length codes that culminates in Kraft's Theorem. Two chapters on Information Theory follow - the first on Huffman encoding and the second on the concept of the entropy of an information source, culminating in a discussion of Shannon's Noiseless Coding Theorem. The remaining four chapters cover the theory of error-correcting block codes. The first chapter covers communication channels, decision rules, nearest neighbor decoding, perfect codes, the main coding theory problem, the sphere-packing, Singleton and Plotkin bounds, and a brief discussion of the Noisy Coding Theorem. There follows a chapter on linear codes that begins with a discussion of vector spaces over the field [actual symbol not reproducible]. The penultimate chapter is devoted to a study of the Hamming, Golay, and Reed-Muller families of codes, along with some decimal codes and some codes obtained from Latin squares. The final chapter contains a brief introduction to cyclic codes. Codage ram Codes correcteurs d'erreurs (théorie de l'information) ram Information, Théorie de l' ram Coding theory Information theory Informationstheorie (DE-588)4026927-9 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s DE-604 Codierungstheorie (DE-588)4139405-7 s |
| spellingShingle | Roman, Steven Introduction to coding and information theory Codage ram Codes correcteurs d'erreurs (théorie de l'information) ram Information, Théorie de l' ram Coding theory Information theory Informationstheorie (DE-588)4026927-9 gnd Codierungstheorie (DE-588)4139405-7 gnd |
| subject_GND | (DE-588)4026927-9 (DE-588)4139405-7 |
| title | Introduction to coding and information theory |
| title_auth | Introduction to coding and information theory |
| title_exact_search | Introduction to coding and information theory |
| title_full | Introduction to coding and information theory Steven Roman |
| title_fullStr | Introduction to coding and information theory Steven Roman |
| title_full_unstemmed | Introduction to coding and information theory Steven Roman |
| title_short | Introduction to coding and information theory |
| title_sort | introduction to coding and information theory |
| topic | Codage ram Codes correcteurs d'erreurs (théorie de l'information) ram Information, Théorie de l' ram Coding theory Information theory Informationstheorie (DE-588)4026927-9 gnd Codierungstheorie (DE-588)4139405-7 gnd |
| topic_facet | Codage Codes correcteurs d'erreurs (théorie de l'information) Information, Théorie de l' Coding theory Information theory Informationstheorie Codierungstheorie |
| work_keys_str_mv | AT romansteven introductiontocodingandinformationtheory |