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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…

Information Theory · Computer Science 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 $[-\pi,\pi]$.…

Probability · Mathematics 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 · Physics 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 2013-02-12 Günther Koliander , Erwin Riegler , Giuseppe Durisi , Veniamin I. Morgenshtern , Franz Hlawatsch

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,…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Condensed Matter · Physics 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…

Information Theory · Computer Science 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…

Information Theory · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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 $f(v)=\lambda v$,…

Algebraic Geometry · Mathematics 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…

Probability · Mathematics 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…

Operator Algebras · Mathematics 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…

Information Theory · Computer Science 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…

Condensed Matter · Physics 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…

Information Theory · Computer Science 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…

Networking and Internet Architecture · Computer Science 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…

Information Theory · Computer Science 2008-05-03 Caleb K. Lo , Sriram Vishwanath , Robert W. Heath