Information Theory

Name: Information Theory
Brand: Springer, Berlin
SKU: 9783031215605
Price: 26535 HUF
Availability: InStock

Three Theorems by Claude Shannon

Szerző: Antoine Chambert-Loir

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

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This book provides an introduction to information theory, focussing on Shannon's three foundational...

Információk a könyvről

Szerző

Antoine Chambert-Loir

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2023

oldal

224

EAN

9783031215605

Enbook ID

41908439

Kiadó

Springer, Berlin

Súly

388

Méretek

155 x 235

Teljes leírás

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. The first chapter studies the entropy of a discrete random variable and related notions. The second chapter, on compression and error correcting, introduces the concept of coding, proves the existence of optimal codes and good codes (Shannon's first theorem), and shows how information can be transmitted in the presence of noise (Shannon's second theorem). The third chapter proves the sampling theorem (Shannon's third theorem) and looks at its connections with other results, such as the Poisson summation formula. Finally, there is a discussion of the uncertainty principle in information theory. Featuring a good supply of exercises (with solutions), and an introductory chapter covering the prerequisites, this text stems out lectures given to mathematics/computer science students at the beginning graduate level.

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Information Theory

Three Theorems by Claude Shannon

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