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In this paper, we investigate the additive Gaussian noise channel with noisy feedback. We consider the setup of linear coding of the feedback information and Gaussian signaling of the message (i.e. Cover-Pombra Scheme). Then, we derive the…

信息论 · 计算机科学 2015-03-19 Chong Li , Nicola Elia

A coding scheme is proposed for the memoryless Gaussian broadcast channel with correlated noises and feedback. For all noise correlations other than -1, the gap between the sum-rate the scheme achieves and the full-cooperation bound…

信息论 · 计算机科学 2015-03-13 Michael Gastpar , Amos Lapidoth , Yossef Steinberg , Michele Wigger

In this paper, we consider single- and multi-user Gaussian channels with feedback under expected power constraints and with non-vanishing error probabilities. In the first of two contributions, we study asymptotic expansions for the…

信息论 · 计算机科学 2016-09-22 Lan V. Truong , Silas L. Fong , Vincent Y. F. Tan

A code for communication over the k-receiver additive white Gaussian noise broadcast channel with feedback is presented and analyzed using tools from the theory of linear quadratic Gaussian optimal control. It is shown that the performance…

信息论 · 计算机科学 2011-02-17 Ehsan Ardestanizadeh , Paolo Minero , Massimo Franceschetti

The feedback capacity of the stationary Gaussian additive noise channel has been open, except for the case where the noise is white. Here we find the feedback capacity of the stationary first-order moving average additive Gaussian noise…

信息论 · 计算机科学 2007-07-16 Young-Han Kim

The capacity of additive Gaussian noise (AGN) channels, $Y_t=X_t+V_t, t=1, \ldots, n$, $\frac{1}{n} {\bf E}\big\{\sum_{t=1}^n |X_t|^2 \big\}\leq \kappa, \kappa \in [0,\infty)$, with time-invariant channel input feedback strategies, is…

信息论 · 计算机科学 2021-08-16 Charalambos D. Charalambous , Christos Kourtellaris , Sergey Loyka

Optimal coding over the additive white Gaussian noise channel under the peak energy constraint is studied when there is noisy feedback over an orthogonal additive white Gaussian noise channel. As shown by Pinsker, under the peak energy…

信息论 · 计算机科学 2011-08-19 Yu Xiang , Young-Han Kim

We consider an additive Gaussian channel with additive Gaussian noise feedback. We derive an upper bound on the n-block capacity (defined by Cover [1]). It is shown that this upper bound can be obtained by solving a convex optimization…

信息论 · 计算机科学 2015-03-19 Chong Li , Nicola Elia

In this paper, we relate a feedback channel with any finite-order autoregressive moving-average (ARMA) Gaussian noises to a variant of the Kalman filter. In light of this, we obtain relatively explicit lower bounds on the feedback capacity…

信息论 · 计算机科学 2021-06-07 Song Fang , Quanyan Zhu

For a stationary additive Gaussian-noise channel with a rational noise power spectrum of a finite-order $L$, we derive two new results for the feedback capacity under an average channel input power constraint. First, we show that a very…

信息论 · 计算机科学 2007-07-13 Shaohua Yang , Aleksandar Kavcic , Sekhar Tatikonda

In this paper, we revisit the problem of finding the average capacity of the Gaussian feedback channel. First, we consider the problem of finding the average capacity of the analog Gaussian noise channel where the noise has an arbitrary…

信息论 · 计算机科学 2019-01-24 Ather Gattami

Gaussian channels with memory and with noiseless feedback have been widely studied in the information theory literature. However, a coding scheme to achieve the feedback capacity is not available. In this paper, a coding scheme is proposed…

信息论 · 计算机科学 2007-07-13 Jialing Liu , Nicola Elia

In this paper, we relate the feedback capacity of parallel additive colored Gaussian noise (ACGN) channels to a variant of the Kalman filter. By doing so, we obtain lower bounds on the feedback capacity of such channels, as well as the…

信息论 · 计算机科学 2021-02-17 Song Fang , Quanyan Zhu

We consider the continuous-time ARMA(1,1) Gaussian channel and derive its feedback capacity in closed form. More specifically, the channel is given by $\boldsymbol{y}(t) =\boldsymbol{x}(t) +\boldsymbol{z}(t)$, where the channel input…

信息论 · 计算机科学 2024-04-11 Jun Su , Guangyue Han , Shlomo Shamai

This paper investigates the asymptotic expansion for the maximum rate of fixed-length codes over a parallel Gaussian channel with feedback under the following setting: A peak power constraint is imposed on every transmitted codeword, and…

信息论 · 计算机科学 2017-07-11 Silas L. Fong , Vincent Y. F. Tan

Consider a pair of terminals connected by two independent additive white Gaussian noise channels, and limited by individual power constraints. The first terminal would like to reliably send information to the second terminal, within a given…

信息论 · 计算机科学 2014-12-16 Assaf Ben-Yishai , Ofer Shayevitz

This paper studies the performance of block coding on an additive white Gaussian noise channel under different power limitations at the transmitter. Lower bounds are presented for the minimum error probability of codes satisfying maximal…

信息论 · 计算机科学 2020-08-19 Gonzalo Vazquez-Vilar

This paper considers the problem of closed-loop identification of linear scalar systems with Gaussian process noise, where the system input is determined by a deterministic state feedback policy. The regularized least-square estimate (LSE)…

系统与控制 · 电气工程与系统科学 2020-03-30 Ali Reza Pedram , Takashi Tanaka

For the additive Gaussian noise channel with average codeword power constraint, sparse superposition codes and adaptive successive decoding is developed. Codewords are linear combinations of subsets of vectors, with the message indexed by…

信息论 · 计算机科学 2010-06-22 Andrew R Barron , Antony Joseph

We extend previous results on covert communication over the additive white Gaussian noise channel to two other types of additive noise channels. The first is the Gaussian channel with memory, where the noise sequence is a Gaussian vector…

信息论 · 计算机科学 2023-03-22 Cécile Bouette , Laura Luzzi , Ligong Wang
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