Journal ArticleDOI
Gaussian feedback capacity
Thomas M. Cover,S. Pombra +1 more
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TLDR
An asymptotic equipartition theorem for nonstationary Gaussian processes is proved and it is proved that the feedback capacity C/sub FB/ in bits per transmission and the nonfeedback capacity C satisfy C > C >.Abstract:
The capacity of time-varying additive Gaussian noise channels with feedback is characterized. Toward this end, an asymptotic equipartition theorem for nonstationary Gaussian processes is proved. Then, with the aid of certain matrix inequalities, it is proved that the feedback capacity C/sub FB/ in bits per transmission and the nonfeedback capacity C satisfy C >read more
Citations
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Journal ArticleDOI
Determinant Maximization with Linear Matrix Inequality Constraints
TL;DR: The problem of maximizing the determinant of a matrix subject to linear matrix inequalities (LMIs) arises in many fields, including computational geometry, statistics, system identification, experiment design, and information and communication theory as discussed by the authors.
Journal ArticleDOI
When bode meets shannon: control-oriented feedback communication schemes
TL;DR: A general equivalence is shown between feedback stabilization through an analog communication channel, and a communication scheme based on feedback which is a generalization of that of Schalkwijk and Kailath, which shows that the achievable transmission rate is given by the Bode's sensitivity integral formula.
Journal ArticleDOI
The Capacity of Channels With Feedback
TL;DR: A general feedback channel coding theorem based on Massey's concept of directed information is proved and the average cost optimality equation (ACOE) can be viewed as an implicit single-letter characterization of the capacity.
Journal ArticleDOI
Fifty years of Shannon theory
TL;DR: A brief chronicle is given of the historical development of the central problems in the theory of fundamental limits of data compression and reliable communication.
Journal ArticleDOI
Feedback Capacity of the Gaussian Interference Channel to Within 2 Bits
Changho Suh,David Tse +1 more
TL;DR: In this article, the capacity region of the two-user Gaussian IC with feedback was characterized to within 2 bits/s/Hz and the symmetric capacity to within 1 bit/S/Hz.
References
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Book
Inequalities: Theory of Majorization and Its Applications
TL;DR: In this paper, Doubly Stochastic Matrices and Schur-Convex Functions are used to represent matrix functions in the context of matrix factorizations, compounds, direct products and M-matrices.
Book
Information and information stability of random variables and processes
M. S. Pinsker,Amiel Feinstein +1 more
Journal ArticleDOI
The Strong Ergodic Theorem for Densities: Generalized Shannon-McMillan-Breiman Theorem
TL;DR: In this paper, it was shown that the sequence of relative entropy densities of a stationary process with probability densities with respect to the Lebesgue measure and a Markov measure with a stationary transition measure converges almost surely.
Journal ArticleDOI
A general formulation of linear feedback communication systems with solutions
TL;DR: The feedback coding problem for additive noise systems, in which the noise may be colored, nonstationary, and correlated between channels, is formulated in terms of arbitrary linear operations at the transmitting and receiving points, providing a unified approach for deriving new results.
Journal ArticleDOI
Determinant inequalities via information theory
Thomas M. Cover,Joy A. Thomas +1 more
TL;DR: In this article, it was shown that the determinant of a positive definite matrix is log-concave and that the ratio of the matrix's determinant to its principal minor is concave.