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We study random normal matrix models whose eigenvalues tend to be distributed within a narrow "band" around the unit circle of width proportional to $\frac1n$, where $n$ is the size of matrices. For general radially symmetric potentials…

Probability · Mathematics 2021-12-22 Sung-Soo Byun , Seong-Mi Seo

In this paper, we study the Helmholtz transmission eigenvalue problem for inhomogeneous anisotropic media with the index of refraction $n(x)\equiv 1$ in two and three dimension. Starting with a nonlinear fourth order formulation established…

Numerical Analysis · Mathematics 2023-04-26 Qing Liu , Tiexiang Li , Shuo Zhang

Channel estimation is one of the key issues in practical massive multiple-input multiple-output (MIMO) systems. Compared with conventional estimation algorithms, deep learning (DL) based ones have exhibited great potential in terms of…

Information Theory · Computer Science 2021-08-24 Jiabao Gao , Mu Hu , Caijun Zhong , Geoffrey Ye Li , Zhaoyang Zhang

Given an ensemble of NxN random matrices, a natural question to ask is whether or not the empirical spectral measures of typical matrices converge to a limiting spectral measure as N --> oo. While this has been proved for many thin…

Probability · Mathematics 2011-06-30 Murat Kologlu , Gene S. Kopp , Steven J. Miller , Frederick W. Strauch , Wentao Xiong

Motivated by the current interest in ultra-reliable, low-latency, machine-type communication systems, we investigate the tradeoff between reliability, throughput, and latency in the transmission of information over multiple-antenna Rayleigh…

Information Theory · Computer Science 2016-11-17 Giuseppe Durisi , Tobias Koch , Johan Östman , Yury Polyanskiy , Wei Yang

We propose a novel algorithm to estimate the channel covariance matrix of a desired user in multiuser massive MIMO systems. The algorithm uses only knowledge of the array response and rough knowledge of the angular support of the incoming…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Renato Luis Garrido Cavalcante , Slawomir Stanczak

Channel estimation for millimeter-wave (mmWave) massive MIMO with hybrid precoding is challenging, since the number of radio frequency (RF) chains is usually much smaller than that of antennas. To date, several channel estimation schemes…

Information Theory · Computer Science 2023-10-20 Zhen Gao , Linglong Dai , Chen Hu , Zhaocheng Wang

We examine the capacity of beamforming over a single-user, multi-antenna link taking into account the overhead due to channel estimation and limited feedback of channel state information. Multi-input single-output (MISO) and multi-input…

Information Theory · Computer Science 2010-11-22 Wiroonsak Santipach , Michael L. Honig

In this paper, we consider the empirical spectral distribution of the sample correlation matrix and investigate its asymptotic behavior under mild assumptions on the data's distribution, when dimension and sample size increase at the same…

Probability · Mathematics 2022-09-01 Nina Dörnemann , Johannes Heiny

Flat-fading channel models are usually invoked for analyzing the performance of massive spatial modulation multiple-input multiple-output (SM-MIMO) systems. However, in the context of broadband SM transmission, the severe…

Information Theory · Computer Science 2017-12-04 Yue Sun , Jintao Wang , Longzhuang He , Jian Song

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

We analyze a stochastic particle system of 5 neighbors. Considering eigenvalue problem of transition matrix, we propose a conjecture that asymptotic distribution of the system is determined by the number of specific local patterns in the…

Mathematical Physics · Physics 2022-02-08 Kazushige Endo

In this paper, the problem of pilot beam pattern design for channel estimation in massive multiple-input multiple-output systems with a large number of transmit antennas at the base station is considered, and a new algorithm for pilot beam…

Information Theory · Computer Science 2015-06-17 Song Noh , Michael D. Zoltowski , Youngchul Sung , David J. Love

In this paper we examine convergence properties of massive MIMO systems with the aim of determining the number of antennas required for massive MIMO gains. We consider three characteristics of a channel matrix and study their asymptotic…

Information Theory · Computer Science 2015-01-30 Peter J. Smith , Callum T. Neil , Mansoor Shafi , Pawel A. Dmochowski

In this paper, we study the channel estimation problem in correlated massive multiple-input-multiple-output (MIMO) systems with a reduced number of radio-frequency (RF) chains. Importantly, other than the knowledge of channel correlation…

Information Theory · Computer Science 2021-11-10 Javad Mirzaei , Shahram ShahbazPanahi , Foad Sohrabi , Raviraj Adve

In this paper, we propose a novel transmission scheme, called sparse layered MIMO (SL-MIMO), that combines non-orthogonal transmission and singular value decomposition (SVD) precoding. Nonorthogonality in SL-MIMO allows re-using of the…

Information Theory · Computer Science 2022-08-15 Mohamad H. Dinan , Nemanja Stefan Perovic , Mark F. Flanagan

We investigate the dynamic behavior of the stationary random process defined by a central complex Wishart (CW) matrix ${\bf{W}}(t)$ as it varies along a certain dimension $t$. We characterize the second-order joint cdf of the largest…

Information Theory · Computer Science 2020-04-02 F. Javier Lopez-Martinez , Eduardo Martos-Naya , Jose F. Paris , Andrea Goldsmith

A low complexity massive multiple-input multiple-output (MIMO) technique is studied with a geometry-based stochastic channel model, called COST 2100 model. We propose to exploit the discrete-time Fourier transform of the antenna correlation…

Signal Processing · Electrical Eng. & Systems 2019-07-04 Manijeh Bashar , Alister G. Burr , Katsuyuki Haneda , Kanapathippillai Cumanan , Mehdi M. Molu , Mohsen Khalily , Pei Xiao

We present nonasymptotic bounds on the maximum coding rate achievable over a Rician block-fading channel for a fixed packet size and a fixed packet error probability. Our bounds, which apply to the scenario where no a priori channel state…

Information Theory · Computer Science 2017-05-24 Johan Östman , Giuseppe Durisi , Erik G. Ström

We investigate asymptotic capacity limits of the Gaussian MIMO broadcast channel (BC) with spatially correlated fading to understand when and how much transmit correlation helps the capacity. By imposing a structure on channel covariances…

Information Theory · Computer Science 2014-10-13 Junyoung Nam