Operator inequality and its application to capacity of gaussian channel
TLDR
In this paper, the authors give some inequalities of capacity in Gaussian channel with or without feedback, and show that the non-feedback capacity and the feedback capacity are concave functions of the same type.Abstract:
We give some inequalities of capacity in Gaussian channel with or without feedback. The nonfeedback capacity $C_{n,Z}(P)$ and the feedback capacity $C_{n,FB,Z}(P)$ are both concave functions of $P$. Though it is shown that $C_{n,Z}(P)$ is a convex function of $Z$ in some sense, $C_{n,FB,Z}(P)$ is a convex-like function of $Z$.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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Book
Information Theory and Reliable Communication
TL;DR: This chapter discusses Coding for Discrete Sources, Techniques for Coding and Decoding, and Source Coding with a Fidelity Criterion.
Journal ArticleDOI
On majorization, factorization, and range inclusion of operators on Hilbert space
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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 >.