Mathematics of Information and Coding

Erscheinungsjahr 2007
ISBN: 978-0-8218-4256-0
Verlag: American Mathematical Society

Buch, Englisch, Band 203, 286 Seiten

Reihe: Translations of Mathematical Monographs

This book is intended to provide engineering and/or statistics students, communications engineers, and mathematicians with the firm theoretic basis of source coding (or data compression) in information theory. Although information theory consists of two main areas, source coding and channel coding, the authors choose here to focus only on source coding. The reason is that, in a sense, it is more basic than channel coding, and also because of recent achievements in source coding and compression. An important feature of the book is that whenever possible, the authors describe universal coding methods, i.e., the methods that can be used without prior knowledge of the statistical properties of the data. The authors approach the subject of source coding from the very basics to the top frontiers in an intuitively transparent, but mathematically sound, manner. The book serves as a theoretical reference for communication professionals and statisticians specializing in information theory. It will also serve as an excellent introductory text for advanced-level and graduate students taking elementary or advanced courses in telecommunications, electrical engineering, statistics, mathematics, and computer science.

Table of Content:

What is information theory?

Basics of information theory

Source and coding

Arithmetic code

Universal coding of integers

Universal coding of texts

Universal coding of compound sources

Data analysis and MDL principle

Bibliography

Index

What is information theory?

Basics of information theory

Source and coding

Arithmetic code

Universal coding of integers

Universal coding of texts

Universal coding of compound sources

Data analysis and MDL principle

Bibliography

Index

Zielgruppe

Graduate students and research mathematicians interested in information theory

Autoren/Hrsg.

Han, Te Sun

Kobayashi, Kingo

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Über Autor(innen)

Te Sun Han, The University of Electro-Communications, Tokyo, Japan;

Kingo Kobayashi, The University of Electro-Communications, Tokyo, Japan