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Cover: 9780387947044 | Introduction to Coding and Information Theory | Steven Roman | Buch
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Introduction to Coding and Information Theory
Buch von Steven Roman
Sprache: Englisch

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Beschreibung
This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.
This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.
Zusammenfassung
This book is an introduction to coding theory and information theory for undergraduate students of mathematics and computer science. Among the topics it discusses are: a review of probablity theory; the efficiency of codes, the capacity of communications channels, coding and decoding in the presence of errors, the general theory of linear codes, and examples of specific codes used in ordinalry communications as wwell as cryptography.
Inhaltsverzeichnis
Introduction:
Preliminaries; Miscellany; Some Probability; Matrices
1. An Introduction to Codes
Strings and Things; What are codes? Uniquely Decipherable Codes;
Instantaneous Codes and Kraft's Theorem
2. Efficient Encoding
Information Sources; Average Codeword Length; Huffman Encoding; The
Proof that Huffman Encoding is the Most Efficient
3. Noiseless Coding
Entropy; Properties of Entropy; Extensions of an Information 1= Source; The Noiseless Coding Theorem
II Coding Theory
4. The Main Coding Theory Problem
Communications Channels; Decision Rules; Nearest Neighbor Decoding;
Details
Erscheinungsjahr: 1996
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xiv
326 S.
ISBN-13: 9780387947044
ISBN-10: 0387947043
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Roman, Steven
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 260 x 183 x 24 mm
Von/Mit: Steven Roman
Erscheinungsdatum: 26.11.1996
Gewicht: 0,845 kg
Artikel-ID: 101857168
Zusammenfassung
This book is an introduction to coding theory and information theory for undergraduate students of mathematics and computer science. Among the topics it discusses are: a review of probablity theory; the efficiency of codes, the capacity of communications channels, coding and decoding in the presence of errors, the general theory of linear codes, and examples of specific codes used in ordinalry communications as wwell as cryptography.
Inhaltsverzeichnis
Introduction:
Preliminaries; Miscellany; Some Probability; Matrices
1. An Introduction to Codes
Strings and Things; What are codes? Uniquely Decipherable Codes;
Instantaneous Codes and Kraft's Theorem
2. Efficient Encoding
Information Sources; Average Codeword Length; Huffman Encoding; The
Proof that Huffman Encoding is the Most Efficient
3. Noiseless Coding
Entropy; Properties of Entropy; Extensions of an Information 1= Source; The Noiseless Coding Theorem
II Coding Theory
4. The Main Coding Theory Problem
Communications Channels; Decision Rules; Nearest Neighbor Decoding;
Details
Erscheinungsjahr: 1996
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: xiv
326 S.
ISBN-13: 9780387947044
ISBN-10: 0387947043
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Roman, Steven
Hersteller: Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 260 x 183 x 24 mm
Von/Mit: Steven Roman
Erscheinungsdatum: 26.11.1996
Gewicht: 0,845 kg
Artikel-ID: 101857168
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