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Book
Identification and other probabilistic models : Rudolf Ahlswede's lectures on information theory 6
Authors: ---
ISBN: 3030650723 3030650707 Year: 2021 Publisher: Cham, Switzerland : Springer,


Book
Information Theory : Three Theorems by Claude Shannon
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ISBN: 3031215613 3031215605 Year: 2022 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

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.


Book
Compressed sensing in information processing
Authors: --- ---
ISBN: 3031097440 3031097459 Year: 2022 Publisher: Cham, Switzerland : Birkhäuser,

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Keywords

Compressed sensing (Telecommunication) --- Information theory. --- Neural networks (Computer science) --- Telecomunicació --- Teoria de la informació --- Xarxes neuronals (Informàtica) --- Design and construction. --- Xarxes neurals (Informàtica) --- Xarxes neurals artificials --- Xarxes neuronals artificials --- Cibernètica --- Informàtica tova --- Intel·ligència artificial --- Computació evolutiva --- Xarxes neuronals convolucionals --- Intel·ligència computacional --- Teoria de la comunicació --- Comunicació --- Entropia (Teoria de la informació) --- Processament de la parla --- Representació del coneixement (Teoria de la informació) --- Teoria de la codificació --- Teoria de la commutació --- Lingüística matemàtica --- Teoria matemàtica de la comunicació --- Traducció automàtica --- Transmissió de dades --- Xarxes semàntiques (Teoria de la informació) --- Economia de la informació --- Informàtica --- Indústria de la telecomunicació --- Radiocomunicació --- Telecomunicacions --- Comunicacions --- Cables submarins --- Comunicació audiovisual --- Comunicacions digitals --- Comunicacions òptiques --- Convergència (Telecomunicació) --- Multiplexatge --- Ràdio --- Radiotelegrafia --- Telefax --- Telemàtica --- Transmissió de les imatges --- Vídeo a la carta --- Artificial neural networks --- Nets, Neural (Computer science) --- Networks, Neural (Computer science) --- Neural nets (Computer science) --- Artificial intelligence --- Natural computation --- Soft computing --- Communication theory --- Communication --- Cybernetics --- Compressive sensing (Telecommunication) --- Sensing, Compressed (Telecommunication) --- Sparse sampling (Telecommunication) --- Signal processing

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