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The second-order coding rate of the multiple-input multiple-output (MIMO) quasi-static Rayleigh fading channel is studied. We tackle this problem via an information-spectrum approach and statistical bounds based on recent random matrix…

信息论 · 计算机科学 2016-11-17 Jakob Hoydis , Romain Couillet , Pablo Piantanida

This paper centers on the limit eigenvalue distribution for random Vandermonde matrices with unit magnitude complex entries. The phases of the entries are chosen independently and identically distributed from the interval $[-\pi,\pi]$.…

概率论 · 数学 2015-03-17 Gabriel H. Tucci , Philip A. Whiting

Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient is computed for different number of channels in the case of a…

chao-dyn · 物理学 2008-02-03 Karol Życzkowski

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 case, no closed-form expressions for…

信息论 · 计算机科学 2011-04-13 Florian Dupuy , Philippe Loubaton

This paper studies the coherent and non-coherent multiuser multiple-input multiple-output (MU-MIMO) uplink system in the finite blocklength regime. The i.i.d. Gaussian codebook is assumed for each user. To be more specific, the BS first…

信息论 · 计算机科学 2022-10-04 Junjuan Feng , Hien Quoc Ngo , Michail Matthaiou

We derive a lower bound on the capacity pre-log of a temporally correlated Rayleigh block-fading multiple-input multiple-output (MIMO) channel with T transmit antennas and R receive antennas in the noncoherent setting (no a priori channel…

We establish an upper bound on the noncoherent capacity pre-log of temporally correlated block-fading single-input multiple-output (SIMO) channels. The upper bound matches the lower bound recently reported in Riegler et al. (2011), and,…

信息论 · 计算机科学 2011-09-14 Wei Yang , Giuseppe Durisi , Veniamin I. Morgenshtern , Erwin Riegler

This paper presents a statistical block fading channel model for multiuser massive MIMO system. The proposed channel model is evolved from correlation based stochastic channel model (CBSCM) but in addition to the properties of CBSCM, it has…

信息论 · 计算机科学 2016-04-05 Suresh Dahiya

It has been observed that the statistical distribution of the eigenvalues of random matrices possesses universal properties, independent of the probability law of the stochastic matrix. In this article we find the correlation functions of…

凝聚态物理 · 物理学 2009-10-30 B. Eynard

This paper presents a highly robust space-frequency block coded (SFBC) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) system. The proposed system is based on applying a short block length Walsh…

信息论 · 计算机科学 2012-08-16 F. Kalbat , A. Al-Dweik

We study the information rates of non-coherent, stationary, Gaussian, multiple-input multiple-output (MIMO) flat-fading channels that are achievable with nearest neighbor decoding and pilot-aided channel estimation. In particular, we…

信息论 · 计算机科学 2014-04-09 A. Taufiq Asyhari , Tobias Koch , Albert Guillén i Fàbregas

In this paper, we investigate the blind channel estimation problem for MIMO systems under Rayleigh fading channel. Conventional MIMO communication techniques require transmitting a considerable amount of training symbols as pilots in each…

信号处理 · 电气工程与系统科学 2021-11-17 Jiancheng Tang , Qianqian Yang , Zhaoyang Zhang

Let $f=(f_1,\ldots,f_n)$ be a system of $n$ complex homogeneous polynomials in $n$ variables of degree $d$. We call $\lambda\in\mathbb{C}$ an eigenvalue of $f$ if there exists $v\in\mathbb{C}^n\backslash\{0\}$ with $f(v)=\lambda v$,…

代数几何 · 数学 2016-02-04 Paul Breiding , Peter Bürgisser

We consider an $N \times N$ random symmetric Toeplitz matrix with an i.i.d. input sequence drawn from a distribution that lies in the domain of attraction of an $\alpha$-stable law for $0 < \alpha < 2$. We show that under an appropriate…

概率论 · 数学 2023-04-26 Ratul Biswas , Arnab Sen

We study limit distributions of independent random matrices as well as limit joint distributions of their blocks under normalized partial traces composed with classical expectation. In particular, we are concerned with the ensemble of…

算子代数 · 数学 2014-07-25 Romuald Lenczewski

In this work, we address the problem of estimating sparse communication channels in OFDM systems in the presence of carrier frequency offset (CFO) and unknown noise variance. To this end, we consider a convex optimization problem, including…

信息论 · 计算机科学 2013-11-15 Rodrigo Carvajal , Boris I. Godoy , Juan C. Agüero

We calculate the probability to find exactly $n$ eigenvalues in a spectral interval of a large random $N \times N$ matrix when this interval contains $s \ll N$ eigenvalues on average. The calculations exploit an analogy to the problem of…

凝聚态物理 · 物理学 2009-10-22 M. M. Fogler , B. I. Shklovskii

Obtaining channel covariance knowledge is of great importance in various Multiple-Input Multiple-Output MIMO communication applications, including channel estimation and covariance-based user grouping. In a massive MIMO system, covariance…

信息论 · 计算机科学 2019-11-01 Mahdi Barzegar Khalilsarai , Tianyu Yang , Saeid Haghighatshoar , Giuseppe Caire

We consider the problem of estimating sparse communication channels in the MIMO context. In small to medium bandwidth communications, as in the current standards for OFDM and CDMA communication systems (with bandwidth up to 20 MHz), such…

网络与互联网体系结构 · 计算机科学 2016-11-17 Yann Barbotin , Ali Hormati , Sundeep Rangan , Martin Vetterli

This paper considers the multi-input multi-output (MIMO) relay channel where multiple antennas are employed by each terminal. Compared to single-input single-output (SISO) relay channels, MIMO relay channels introduce additional degrees of…

信息论 · 计算机科学 2008-05-03 Caleb K. Lo , Sriram Vishwanath , Robert W. Heath