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This paper investigates the performance of wireless systems that employ finite-blocklength channel codes for transmission and operate under queueing constraints in the form of limitations on buffer overflow probabilities. A block fading…

Information Theory · Computer Science 2010-10-01 Deli Qiao , Mustafa Cenk Gursoy , Senem Velipasalar

When the users in a MIMO broadcast channel experience different spatial transmit correlation matrices, a class of gains is produced that is denoted transmit correlation diversity. This idea was conceived for channels in which transmit…

Information Theory · Computer Science 2021-04-21 Fan Zhang , Khac-Hoang Ngo , Sheng Yang , Aria Nosratinia

We compute the limit distribution of partial transposes (when both the number and the size of blocks tends to infinity) for a large class of ensembles of unitarily invariant random matrices. Furthermore, it is shown the asymptotic freeness…

Probability · Mathematics 2024-05-28 James A. Mingo , Mihai Popa

A family of low-complexity detection schemes based on channel matrix puncturing targeted for large multiple-input multiple-output (MIMO) systems is proposed. It is well-known that the computational cost of MIMO detection based on QR…

Information Theory · Computer Science 2017-12-07 H. Sarieddeen , M. M. Mansour , A. Chehab

MIMO processing techniques in fiber optical communications have been proposed as a promising approach to meet increasing demand for information throughput. In this context, the multiple channels correspond to the multiple modes and/or…

Information Theory · Computer Science 2013-12-03 Apostolos Karadimitrakis , Aris L. Moustakas , Pierpaolo Vivo

We compute the limiting statistical distribution of the eigenvalues of sequences of matrices whose entries satisfy what we call a vanishing mean variation condition and are $\mu$-distributed for some probability measure. As an application…

Spectral Theory · Mathematics 2015-11-20 A. Bourget , T. K. McMillen

We establish the limiting spectral distribution of Kendall's correlation matrices in the moderate high-dimensional regime where the dimension grows slower than the sample size. Our framework allows observations to be independent but not…

Statistics Theory · Mathematics 2026-03-10 Raunak Shevade , Monika Bhattacharjee

The paper deals with state estimation of a spatially distributed system given noisy measurements from pointwise-in-time-and-space threshold sensors spread over the spatial domain of interest. A Maximum A posteriori Probability (MAP)…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Gherardini

This paper derives the analytic expression of the sample auto-correlation matrix from the least-squared channel estimation of doubly selective fading channels for OFDM systems. According to the expression, the sample auto-correlation matrix…

Information Theory · Computer Science 2015-04-17 Xiaochuan Zhao , Tao Peng , Ming Yang , Wenbo Wang

We explore the block nature of the matrix representation of multiplex networks, introducing a new formalism to deal with its spectral properties as a function of the inter-layer coupling parameter. This approach allows us to derive…

Physics and Society · Physics 2018-07-17 Guilherme Ferraz de Arruda , Emanuele Cozzo , Francisco A. Rodrigues , Yamir Moreno

This paper uses an incremental matrix expansion approach to derive asymptotic eigenvalue distributions (a.e.d.'s) of sums and products of large random matrices. We show that the result can be derived directly as a consequence of two common…

Information Theory · Computer Science 2007-07-13 Matthew J. M. Peacock , Iain B. Collings , Michael L. Honig

We consider the limiting location and limiting distribution of the largest eigenvalue in real symmetric ($\beta$ = 1), Hermitian ($\beta$ = 2), and Hermitian self-dual ($\beta$ = 4) random matrix models with rank 1 external source. They are…

Mathematical Physics · Physics 2012-01-31 Dong Wang

We investigate the potential of quickest detection based on the eigenvalues of the sample covariance matrix for spectrum sensing applications. A simple phase shift keying (PSK) model with additive white Gaussian noise (AWGN), with $1$…

Information Theory · Computer Science 2015-10-14 Martijn Arts , Andreas Bollig , Rudolf Mathar

We study the distribution of complex eigenvalues $z_1,\ldots, z_N$ of random Hermitian $N\times N$ block band matrices with a complex deformation of a finite rank. Assuming that the width of the band $W$ grows faster than $\sqrt{N}$, we…

Mathematical Physics · Physics 2021-12-09 Mariya Shcherbina , Tatyana Shcherbina

Downlink channel estimation with low pilot overhead is an important and challenging problem in large-scale MIMO systems due to the substantially increased MIMO channel dimension. In this letter, we propose a block iterative support…

Information Theory · Computer Science 2015-12-14 Wenqian Shen , Linglong Dai , Zhen Gao , Zhaocheng Wang

We consider a multiple-input, multiple-output (MIMO) wideband Rayleigh block fading channel where the channel state is unknown to both the transmitter and the receiver and there is only an average power constraint on the input. We compute…

Information Theory · Computer Science 2007-07-13 Siddharth Ray , Muriel Medard , Lizhong Zheng

A new approach toward the noncoherent communications over the time varying fading channels is presented. In this approach, the relationship between the input signal space and the output signal space of a correlatively changing fading…

Information Theory · Computer Science 2014-01-13 Mina Karzand , Lizhong Zheng

Extremely large-scale massive multiple-input multiple-output (MIMO) has shown considerable potential in future mobile communications. However, the use of extremely large aperture arrays has led to near-field and spatial non-stationary…

Information Theory · Computer Science 2019-10-15 Yu Han , Shi Jin , Chao-Kai Wen , Xiaoli Ma

The statistical behavior of the eigenvalues of the sample covariance matrix (SCM) plays a key role in determining the performance of adaptive beamformers (ABF) in presence of noise. This paper presents a method to compute the approximate…

Systems and Control · Computer Science 2018-08-06 Saurav R. Tuladhar , John R. Buck

This paper investigates limiting properties of eigenvalues of multivariate sample spatial-sign covariance matrices when both the number of variables and the sample size grow to infinity. The underlying p-variate populations are general…

Statistics Theory · Mathematics 2021-01-25 Weiming Li , Qinwen Wang , Jianfeng Yao , Wang Zhou
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