A Ya Khinchin

Mathematical Foundations of Information Theory

• Broschiertes Buch

Produktbeschreibung

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 128
• Erscheinungstermin: 1. Juni 1957
• Englisch
• Abmessung: 207mm x 139mm x 7mm
• Gewicht: 145g
• ISBN-13: 9780486604343
• ISBN-10: 0486604349
• Artikelnr.: 21263630

Inhaltsangabe

The Entropy Concept In Probability Theory 1. Entropy of Finite Schemes 2.
The Uniqueness Theorem 3. Entropy of Markov chains 4. Fundamental Theorems
5. Application to Coding Theory On the Fundamental Theorems of Information
Theory INTRODUCTION CHAPTER I. Elementary Inequalities 1. Two
generalizations of Shannon's inequality 2. Three inequalities of Feinstein
CHAPTER II. Ergodic Sources 3. Concept of a source. Stationarity. Entropy
4. Ergodic Sources 5. The E property. McMillan's theorem. 6. The martingale
concept. Doob's theorem. 7. Auxillary propositions 8. Proof of McMillan's
theorem. CHAPTER III. Channels and the sources driving them 9. Concept of
channel. Noise. Stationarity. Anticipation and memory 10. Connection of the
channel to the source 11. The ergodic case CHAPTER IV. Feinstein's
Fundamental Lemma 12. Formulation of the problem 13. Proof of the lemma
CHAPTER V. Shannon's Theorems 14. Coding 15. The first Shannon theorem 16.
The second Shannon theorem CONCLUSION REFERENCES