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Consider a random non-centered multiple antenna radio transmission channel. Assume that the deterministic part of the channel is itself frequency selective, and that the random multipath part is represented by an ergodic stationary vector…

Information Theory · Computer Science 2015-04-06 Walid Hachem , Aris Moustakas , Leonid Pastur

The use of multi-antenna arrays in both transmission and reception has been shown to dramatically increase the throughput of wireless communication systems. As a result there has been considerable interest in characterizing the ergodic…

Information Theory · Computer Science 2007-07-16 Aris L. Moustakas , Steven H. Simon

The problem of calculating the rate of mutual information between two coarse-grained variables that together specify a continuous time Markov process is addressed. As a main obstacle, the coarse-grained variables are in general…

Statistical Mechanics · Physics 2013-10-01 Andre Cardoso Barato , David Hartich , Udo Seifert

We consider the problem of recovering the community structure in the stochastic block model with two communities. We aim to describe the mutual information between the observed network and the actual community structure in the sparse…

Probability · Mathematics 2023-08-30 Tomas Dominguez , Jean-Christophe Mourrat

In previous work, an ordering result was given for the symbolwise probability of error using general Markov channels, under iterative decoding of LDPC codes. In this paper, the ordering result is extended to mutual information, under the…

Information Theory · Computer Science 2007-07-13 Andrew W. Eckford

Multiple input multiple output (MIMO) approach in fiber optical communication has emerged as an effective proposition to address the ever increasing demand for information exchange. In the ergodic case, the multiple channels, associated…

Information Theory · Computer Science 2022-11-28 Aritra Laha , Santosh Kumar

A model to estimate the asymptotic isotropic mutual information of a multiantenna channel is considered. Using a block-based dynamics and the angle diversity of the system, we derived what may be thought of as the operator-valued version of…

Probability · Mathematics 2014-07-17 Mario Diaz , Víctor Pérez-Abreu

We consider a finite-state memoryless channel with i.i.d. channel state and the input Markov process supported on a mixing finite-type constraint. We discuss the asymptotic behavior of entropy rate of the output hidden Markov chain and…

Information Theory · Computer Science 2010-07-28 Guangyue Han , Brian Marcus

This paper studies the ergodic mutual information of hybrid selection/maximal-ratio combining (H-S/MRC) diversity system under BPSK/QPSK modulations. We consider a simple single-input multiple-output (SIMO) channel, where a subset of…

Signal Processing · Electrical Eng. & Systems 2019-06-20 Zeliang Ou , Chongjun Ouyang , Pei Yang , Lu Zhang , Hongwen Yang , Xin Zhang

In many complex systems, whether biological or artificial, the thermodynamic costs of communication among their components are large. These systems also tend to split information transmitted between any two components across multiple…

Statistical Mechanics · Physics 2024-02-12 Farita Tasnim , Nahuel Freitas , David H. Wolpert

We develop numerical and analytical approaches to calculate mutual information between complete paths of two molecular components embedded into a larger reaction network. In particular, we focus on a continuous-time Markov chain formalism,…

Molecular Networks · Quantitative Biology 2022-08-09 Anne-Lena Moor , Christoph Zechner

Shannon entropy is the most crucial foundation of Information Theory, which has been proven to be effective in many fields such as communications. Renyi entropy and Chernoff information are other two popular measures of information with…

Information Theory · Computer Science 2017-01-13 Shanyun Liu , Rui She , Jiaxun Lu , Pingyi Fan

Shannon-Hartley theorem can accurately calculate the channel capacity when the signal observation time is infinite. However, the calculation of finite-time mutual information, which remains unknown, is essential for guiding the design of…

Information Theory · Computer Science 2022-10-05 Jieao Zhu , Zijian Zhang , Zhongzhichao Wan , Linglong Dai

We investigate MIMO eigenmode transmission using statistical channel state information at the transmitter. We consider a general jointly-correlated MIMO channel model, which does not require separable spatial correlations at the transmitter…

Information Theory · Computer Science 2016-11-17 Xiqi Gao , Bin Jiang , Xiao Li , Alex B. Gershman , Matthew R. McKay

This letter studies the ergodic mutual information (EMI) of keyhole multiple-input multiple-output channels having finite-alphabet input signals. The EMI is first investigated for single-stream transmission considering both cases with and…

Information Theory · Computer Science 2022-09-12 Chongjun Ouyang , Ali Bereyhi , Saba Asaad , Ralf R. Müller , Julian Cheng , Hongwen Yang

We consider the information fiber optical channel modeled by the nonlinear Schrodinger equation with additive Gaussian noise. Using path-integral approach and perturbation theory for the small dimensionless parameter of the second…

Information Theory · Computer Science 2023-08-03 A. V. Reznichenko , V. O. Guba

We rigorously derive a single-letter variational expression for the mutual information of the asymmetric two-groups stochastic block model in the dense graph regime. Existing proofs in the literature are indirect, as they involve mapping…

Information Theory · Computer Science 2019-07-17 Jean Barbier , Chun Lam Chan , Nicolas Macris

Presence of multiple antennas on both sides of a communication channel promises significant improvements in system throughput and power efficiency. In effect, a new class of large multiple-input multiple-output (MIMO) communication systems…

Information Theory · Computer Science 2014-01-28 Maksym A. Girnyk , Mikko Vehkaperä , Lars K. Rasmussen

The generalization of Shannon's theory to include messages with given autocorrelations is presented. The analytical calculation of the channel capacity is based on the transfer matrix method of the effective 1D Hamiltonian. This bridge…

Statistical Mechanics · Physics 2007-05-23 Ido Kanter , Hanan Rosemarin

Applying perturbation theory to the path-integral representation for the mutual information of the nonlinear communication channel described by the nonlinear Shr\"{o}dinger equation (NLSE) with the additive Gaussian noise we analyze the…

Information Theory · Computer Science 2016-08-19 I. S. Terekhov , A. V. Reznichenko , S. K. Turitsyn
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