Author: Shunsuke Ihara
Publisher:
ISBN:
Category : Gaussian processes
Languages : en
Pages : 32
Book Description
Mutual Information and Capacity of the Continuous Time Gaussian Channel with Feedback
Author: Shunsuke Ihara
Publisher:
ISBN:
Category : Gaussian processes
Languages : en
Pages : 32
Book Description
Publisher:
ISBN:
Category : Gaussian processes
Languages : en
Pages : 32
Book Description
Information Theory for Continuous Systems
Author: Shunsuke Ihara
Publisher: World Scientific
ISBN: 9789810209858
Category : Computers
Languages : en
Pages : 332
Book Description
This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.The contents fall roughly into two parts. In the first part a unified treatment of entropy in information theory, probability theory and mathematical statistics is presented. The second part deals mostly with information theory for continuous communication systems. Particular emphasis is placed on the Gaussian channel.An advantage of this book is that, unlike most books on information theory, it places emphasis on continuous communication systems, rather than discrete ones.
Publisher: World Scientific
ISBN: 9789810209858
Category : Computers
Languages : en
Pages : 332
Book Description
This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.The contents fall roughly into two parts. In the first part a unified treatment of entropy in information theory, probability theory and mathematical statistics is presented. The second part deals mostly with information theory for continuous communication systems. Particular emphasis is placed on the Gaussian channel.An advantage of this book is that, unlike most books on information theory, it places emphasis on continuous communication systems, rather than discrete ones.
Conditions for Information Capacity of the Discrete-Time Gaussian Channel to be Increased by Feedback
Author: Charles R. Baker
Publisher:
ISBN:
Category :
Languages : en
Pages : 25
Book Description
Sufficient conditions are given for optimal causal feedback to increase information capacity for the discrete-time additive Gaussian channel. The conditions are obtained by assuming linear feedback and reformulating the problem into an equivalent no feedback problem. Keywords: Channel capacity; Shannon theory; Information theory; Channels with feedback; Gaussian channels.
Publisher:
ISBN:
Category :
Languages : en
Pages : 25
Book Description
Sufficient conditions are given for optimal causal feedback to increase information capacity for the discrete-time additive Gaussian channel. The conditions are obtained by assuming linear feedback and reformulating the problem into an equivalent no feedback problem. Keywords: Channel capacity; Shannon theory; Information theory; Channels with feedback; Gaussian channels.
Information Theory For Continuous Systems
Author: Shunsuke Ihara
Publisher: World Scientific
ISBN: 9814505528
Category : Mathematics
Languages : en
Pages : 325
Book Description
This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.The contents fall roughly into two parts. In the first part a unified treatment of entropy in information theory, probability theory and mathematical statistics is presented. The second part deals mostly with information theory for continuous communication systems. Particular emphasis is placed on the Gaussian channel.An advantage of this book is that, unlike most books on information theory, it places emphasis on continuous communication systems, rather than discrete ones.
Publisher: World Scientific
ISBN: 9814505528
Category : Mathematics
Languages : en
Pages : 325
Book Description
This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.The contents fall roughly into two parts. In the first part a unified treatment of entropy in information theory, probability theory and mathematical statistics is presented. The second part deals mostly with information theory for continuous communication systems. Particular emphasis is placed on the Gaussian channel.An advantage of this book is that, unlike most books on information theory, it places emphasis on continuous communication systems, rather than discrete ones.
Gaussian Random Fields - Proceedings Of The Third Nagayo Levy Seminar
Author: Kazufumi Ito
Publisher: World Scientific
ISBN: 9814569372
Category :
Languages : en
Pages : 450
Book Description
These proceedings emphasize new mathematical problems discussed in line with white noise analysis. Many papers deal with mathematical questions arising from actual phenomena. Various applications to stochastic differential equations, quantum field theory, functional integration such as Feynman integrals, limit theorems in probability are also discussed.
Publisher: World Scientific
ISBN: 9814569372
Category :
Languages : en
Pages : 450
Book Description
These proceedings emphasize new mathematical problems discussed in line with white noise analysis. Many papers deal with mathematical questions arising from actual phenomena. Various applications to stochastic differential equations, quantum field theory, functional integration such as Feynman integrals, limit theorems in probability are also discussed.
Capacity of Mismatched Gaussian Channels With and Without Feedback
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
Continuous time communication channels with additive noise are considered under an average power constraint. The noises are assumed to be Gaussian processes equivalent (or mutually absolutely continuous) to a Brownian motion. We study the problem whether the capacity of the channel is increased by feedback or not. It is given a sufficient condition under which the capacity is not increased by feedback. It is also given an example of a channel whose capacity is doubled by feedback.
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
Book Description
Continuous time communication channels with additive noise are considered under an average power constraint. The noises are assumed to be Gaussian processes equivalent (or mutually absolutely continuous) to a Brownian motion. We study the problem whether the capacity of the channel is increased by feedback or not. It is given a sufficient condition under which the capacity is not increased by feedback. It is also given an example of a channel whose capacity is doubled by feedback.
Information Capacity of the Mismatched Gaussian Channel
Author: Charles R. Baker
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
Information capacity is determined for the additive Gaussian channel when the constraint is given in terms of a covariance different from that of the channel noise. These results, combined with previous results on capacity when the constraint covariance is the same as the noise covariance, provide a complete and general solution for the information capacity of the Gaussian channel without feedback. They are valid for both continuous-time and discrete-time channels, and require only two assumptions: the noise energy over the observation period is finite (w.p.l.), and the constraint is given in terms of a reproducing kernel Hilbert space norm. Applications include channels with ambient noise having unknown covariance, and channels subject to jamming. The results for the mismatched channel differ markedly from those for the matched channel.
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
Information capacity is determined for the additive Gaussian channel when the constraint is given in terms of a covariance different from that of the channel noise. These results, combined with previous results on capacity when the constraint covariance is the same as the noise covariance, provide a complete and general solution for the information capacity of the Gaussian channel without feedback. They are valid for both continuous-time and discrete-time channels, and require only two assumptions: the noise energy over the observation period is finite (w.p.l.), and the constraint is given in terms of a reproducing kernel Hilbert space norm. Applications include channels with ambient noise having unknown covariance, and channels subject to jamming. The results for the mismatched channel differ markedly from those for the matched channel.
On the Information Capacity of Peak and Average Power Constrained Gaussian Channels
Author: Joel Gorham Smith
Publisher:
ISBN:
Category :
Languages : en
Pages : 246
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 246
Book Description
Proceedings, ... IEEE International Symposium on Information Theory
Author:
Publisher:
ISBN:
Category : Information theory
Languages : en
Pages : 520
Book Description
Publisher:
ISBN:
Category : Information theory
Languages : en
Pages : 520
Book Description
Energy, Information, Feedback, Adaptation, and Self-organization
Author: Spyros G Tzafestas
Publisher: Springer
ISBN: 3319669990
Category : Technology & Engineering
Languages : en
Pages : 683
Book Description
This unique book offers a comprehensive and integrated introduction to the five fundamental elements of life and society: energy, information, feedback, adaptation, and self-organization. It is divided into two parts. Part I is concerned with energy (definition, history, energy types, energy sources, environmental impact); thermodynamics (laws, entropy definitions, energy, branches of thermodynamics, entropy interpretations, arrow of time); information (communication and transmission, modulation–demodulation, coding–decoding, information theory, information technology, information science, information systems); feedback control (history, classical methodologies, modern methodologies); adaptation (definition, mechanisms, measurement, complex adaptive systems, complexity, emergence); and self-organization (definitions/opinions, self-organized criticality, cybernetics, self-organization in complex adaptive systems, examples in nature). In turn, Part II studies the roles, impacts, and applications of the five above-mentioned elements in life and society, namely energy (biochemical energy pathways, energy flows through food chains, evolution of energy resources, energy and economy); information (information in biology, biocomputation, information technology in office automation, power generation/distribution, manufacturing, business, transportation), feedback (temperature, water, sugar and hydrogen ion regulation, autocatalysis, biological modeling, control of hard/technological and soft/managerial systems), adaptation and self-organization (ecosystems, climate change, stock market, knowledge management, man-made self-organized controllers, traffic lights control).
Publisher: Springer
ISBN: 3319669990
Category : Technology & Engineering
Languages : en
Pages : 683
Book Description
This unique book offers a comprehensive and integrated introduction to the five fundamental elements of life and society: energy, information, feedback, adaptation, and self-organization. It is divided into two parts. Part I is concerned with energy (definition, history, energy types, energy sources, environmental impact); thermodynamics (laws, entropy definitions, energy, branches of thermodynamics, entropy interpretations, arrow of time); information (communication and transmission, modulation–demodulation, coding–decoding, information theory, information technology, information science, information systems); feedback control (history, classical methodologies, modern methodologies); adaptation (definition, mechanisms, measurement, complex adaptive systems, complexity, emergence); and self-organization (definitions/opinions, self-organized criticality, cybernetics, self-organization in complex adaptive systems, examples in nature). In turn, Part II studies the roles, impacts, and applications of the five above-mentioned elements in life and society, namely energy (biochemical energy pathways, energy flows through food chains, evolution of energy resources, energy and economy); information (information in biology, biocomputation, information technology in office automation, power generation/distribution, manufacturing, business, transportation), feedback (temperature, water, sugar and hydrogen ion regulation, autocatalysis, biological modeling, control of hard/technological and soft/managerial systems), adaptation and self-organization (ecosystems, climate change, stock market, knowledge management, man-made self-organized controllers, traffic lights control).