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In this contribution, an algorithm for evaluating the capacity-achieving input covariance matrices for frequency selective Rayleigh MIMO channels is proposed. In contrast with the flat fading Rayleigh cases, no closed-form expressions for…

信息论 · 计算机科学 2010-07-07 Florian Dupuy , Philippe Loubaton

This paper addresses channel estimation and data equalization on frequency-selective 1-bit quantized Multiple Input-Multiple Output (MIMO) systems. No joint processing or Channel State Information is assumed at the transmitter, and…

信息论 · 计算机科学 2021-03-09 Javier García , Jawad Munir , Kilian Roth , Josef A. Nossek

We characterize the capacity of Rayleigh block-fading multiple-input multiple-output (MIMO) channels in the noncoherent setting where transmitter and receiver have no a priori knowledge of the realizations of the fading channel. We prove…

信息论 · 计算机科学 2012-10-02 Wei Yang , Giuseppe Durisi , Erwin Riegler

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…

信息论 · 计算机科学 2016-11-17 Xiqi Gao , Bin Jiang , Xiao Li , Alex B. Gershman , Matthew R. McKay

A recursive method is derived to calculate all eigenvalue correlation functions of a random hermitian matrix in the large size limit, and after smoothing of the short scale oscillations. The property that the two-point function is…

高能物理 - 理论 · 物理学 2008-02-03 B. Eynard

We study random matrices acting on tensor product spaces which have been transformed by a linear block operation. Using operator-valued free probability theory, under some mild assumptions on the linear map acting on the blocks, we compute…

概率论 · 数学 2016-01-26 Octavio Arizmendi , Ion Nechita , Carlos Vargas

A method for channel estimation in wideband massive Multiple-Input Multiple-Output (MIMO) systems using covariance identification is developed. The method is useful for Frequency-Division Duplex (FDD) at either sub-6GHz or millimeter wave…

信号处理 · 电气工程与系统科学 2024-10-30 José González-Coma , Pedro Suárez-Casal , Paula M. Castro , Luis Castedo , Michael Joham

Random matrix model for the Nakagami-q (Hoyt) fading in multiple-input multiple-output (MIMO) communication channels with arbitrary number of transmitting and receiving antennas is considered. The joint probability density for the…

信息论 · 计算机科学 2011-05-24 Santosh Kumar , Akhilesh Pandey

The reflection matrix R=S^{\dagger}S, with S being the scattering matrix, differs from the unit one, when absorption is finite. Using the random matrix approach, we calculate analytically the distribution function of its eigenvalues in the…

介观与纳米尺度物理 · 物理学 2007-05-23 D. V. Savin , H. -J. Sommers

The capacity-achieving input covariance matrices for coherent block-fading correlated MIMO Rician channels are determined. In this case, no closed-form expressions for the eigenvectors of the optimum input covariance matrix are available.…

概率论 · 数学 2011-06-07 Julien Dumont , W. Hachem , Samson Lasaulce , Philippe Loubaton , Jamal Najim

We introduce a new random matrix model called distance covariance matrix in this paper, whose normalized trace is equivalent to the distance covariance. We first derive a deterministic limit for the eigenvalue distribution of the distance…

统计理论 · 数学 2021-05-18 Weiming Li , Qinwen Wang , Jianfeng Yao

We consider linear time-varying channels with additive white Gaussian noise. For a large class of such channels we derive rigorous estimates of the eigenvalues of the correlation matrix of the effective channel in terms of the sampled…

信息论 · 计算机科学 2016-11-17 Brendan Farrell , Thomas Strohmer

The sum of Wishart matrices has an important role in multiuser communication employing multiantenna elements, such as multiple-input multiple-output (MIMO) multiple access channel (MAC), MIMO Relay channel, and other multiuser channels…

信息论 · 计算机科学 2018-03-13 S. Kumar , G. F. Pivaro , G. Fraidenraich , C. F. Dias

There is a fundamental limit on the capacity of fibre optical communication system (Shannon Limit). This limit can be potentially overcome via using Nonlinear Frequency Division Multiplexing. Dealing with noises in these systems is one of…

This work has introduced a generalized formulation of the problem of eigenvalue spectrum assignment for block matrix systems. In this problem, it is required to construct a feedback that provides that the matrix of the closed-loop system is…

最优化与控制 · 数学 2025-11-10 Vasilii Zaitsev , Inna Kim

A theoretical analysis is given of the equation of motion method, due to Alben et al., to compute the eigenvalue distribution (density of states) of very large matrices. The salient feature of this method is that for matrices of the kind…

计算物理 · 物理学 2009-11-06 Anthony Hams , Hans De Raedt

We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel…

信息论 · 计算机科学 2013-05-17 Wei Yang , Giuseppe Durisi , Tobias Koch , Yury Polyanskiy

Training-based transmission over Rayleigh block-fading multiple-input multiple-output (MIMO) channels is investigated. As a training method a combination of a pilot-assisted scheme and a biased signaling scheme is considered. The achievable…

信息论 · 计算机科学 2016-11-18 Keigo Takeuchi , Ralf R. Mueller , Mikko Vehkaperae , Toshiyuki Tanaka

Random matrix theory allows one to deduce the eigenvalue spectrum of a large matrix given only statistical information about its elements. Such results provide insight into what factors contribute to the stability of complex dynamical…

无序系统与神经网络 · 物理学 2025-01-30 Joseph W. Baron , Thomas Jun Jewell , Christopher Ryder , Tobias Galla

The open problem of calculating the limiting spectrum (or its Shannon transform) of increasingly large random Hermitian finite-band matrices is described. In general, these matrices include a finite number of non-zero diagonals around their…

信息论 · 计算机科学 2008-05-13 Oren Somekh , Osvalso Simeone , Benjamin M. Zaidel , H. Vincent Poor , Shlomo Shamai