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Information Theory
ISBN-13:
9783031215612
Veröffentl:
2023
Seiten:
209
Autor:
Antoine Chambert-Loir
Serie:
144, UNITEXT La Matematica per il 3+2
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This book provides an introduction to information theory, focussing on Shannon's three foundational theorems of 1948-1949. Shannon's first two theorems, based on the notion of entropy in probability theory, specify the extent to which a message can be compressed for fast transmission and how to erase errors associated with poor transmission. The third theorem, using Fourier theory, ensures that a signal can be reconstructed from a sufficiently fine sampling of it. These three theorems constitute the roadmap of the book.
Elements of Theory of Probability.- Entropy and Mutual Information.- Coding.- Sampling.- Solutions to Exercises.- Bibliography.- Notation.- Index.
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