Journal ArticleDOI
Coding theorems for a continuous-time Gaussian channel with feedback
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The main aim of the paper is to prove a coding theorem for a continuous-time Gaussian channel with feedback, under an average power constraint.Abstract:
The main aim of the paper is to prove a coding theorem for a continuous-time Gaussian channel with feedback, under an average power constraint. In the case of discrete-time, the coding theorem for the feedback Gaussian channel has been shown by Cover and Pombra (1989). >read more
Citations
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Journal ArticleDOI
Feedback Capacity of Stationary Gaussian Channels
TL;DR: This result shows that the celebrated Schalkwijk-Kailath coding achieves the feedback capacity for the first-order autoregressive moving-average Gaussian channel, positively answering a long-standing open problem studied by Butman, Tiernan-SchalkWijk, Wolfowitz, Ozarow, Ordentlich, Yang-Kavc¿ic¿-Tatikonda, and others.
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Feedback Capacity of Stationary Gaussian Channels
TL;DR: In this article, the authors characterized the feedback capacity of additive stationary Gaussian noise channels as the solution to a variational problem and proved that the optimal feedback coding scheme is stationary.
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On the Feedback Capacity of Power-Constrained Gaussian Noise Channels With Memory
TL;DR: A new method for optimizing the channel inputs for achieving the Cover-Pombra block-length- n feedback capacity is developed by using a dynamic programming approach that decomposes the computation into n sequentially identical optimization problems where each stage involves optimizing O(L 2) variables.
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Feedback Capacity of the First-Order Moving Average Gaussian Channel
TL;DR: This work considers another simple special case of the stationary first-order moving average additive Gaussian noise channel and finds the feedback capacity in closed form, which is very similar in form to the best known achievable rate for the first- order autoregressive Gaussia noise channel given by Butman.
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Feedback capacity of the first-order moving average Gaussian channel
TL;DR: In this paper, the authors considered a special case of the first-order moving average additive Gaussian noise channel and showed that the feedback capacity of this channel is CFB=-log x0 where x0 is the unique positive root of the equation rhox2=(1-x2)(1-|alpha|x)2 and rho is the ratio of the average input power per transmission to the variance of the noise innovation Ui.
References
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Journal ArticleDOI
Sanov Property, Generalized $I$-Projection and a Conditional Limit Theorem
TL;DR: In this paper, it was shown that the limiting conditional distribution of (either) $X_i$ is characterized as a member of the exponential family determined by the unconditional distribution $P_X, while (X_1, \cdots, X_n) are conditionally asymptotically quasi-independent.
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Gaussian feedback capacity
Thomas M. Cover,S. Pombra +1 more
TL;DR: 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 >.
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Mutual information of the white Gaussian channel with and without feedback
TL;DR: It follows, as a corollary to the result for I(Y_o ^ {T} ,m) , that feedback can not increase the capacity of the nonband-limited additive white Gaussian noise channel.
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RKHS approach to detection and estimation problems--I: Deterministic signals in Gaussian noise
TL;DR: It is shown how the Karhunen-Loeve approach to the detection of a deterministic signal can be given a coordinate-free and geometric interpretation in a particular Hilbert space of functions that is uniquely determined by the covariance function of the additive Gaussian noise.
Journal ArticleDOI
Capacity of the mismatched Gaussian channel
TL;DR: 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.