Proactive monitoring via jamming for rate maximization over MIMO Rayleigh fading channels

H Cai, Q Zhang, Q Li, J Qin - IEEE Communications Letters, 2017 - ieeexplore.ieee.org
Legitimately monitoring suspicious wireless communications is important for national
security. In this letter, we investigate average monitoring rate maximization problem for a …

Spherical functions approach to sums of random Hermitian matrices

ABJ Kuijlaars, P Román - International Mathematics Research …, 2019 - academic.oup.com
We present an approach to sums of random Hermitian matrices via the theory of spherical
functions for the Gelfand pair. It is inspired by a similar approach of Kieburg and Kösters for …

Secrecy Outage Probability of Multiple-Input-Multiple-Output Secure Internet of Things Communication Systems

J Zheng, Q Zhang - IEEE Internet of Things Journal, 2023 - ieeexplore.ieee.org
The multiple-input-multiple-output (MIMO) scheme enhances the capacity and reliability of
secure Internet of Things (IoT) communication systems. In this article, an MIMO secure IoT …

Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for the product of two Gaussian matrices

S Kumar - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
We provide a proof to a recent conjecture by Forrester (2014 J. Phys. A: Math. Theor. 47
065202) regarding the algebraic and arithmetic structure of Meijer G-functions which appear …

Spectral statistics for the difference of two Wishart matrices

S Kumar, SS Charan - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
In this work, we consider the weighted difference of two independent complex Wishart
matrices and derive the joint probability density function of the corresponding eigenvalues in …

Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances

G Akemann, T Checinski… - Journal of Physics A …, 2016 - iopscience.iop.org
We compute the spectral statistics of the sum H of two independent complex Wishart
matrices, each of which is correlated with a different covariance matrix. Random matrix …

Matrix product ensembles of Hermite type and the Hyperbolic Harish-Chandra–Itzykson–Zuber integral

PJ Forrester, JR Ipsen, DZ Liu - Annales Henri Poincaré, 2018 - Springer
We investigate spectral properties of a Hermitised random matrix product which, contrary to
previous product ensembles, allows for eigenvalues on the full real line. We prove that the …

Implementing nonuniversal features with a random matrix theory approach: Application to space-to-configuration multiplexing

P Del Hougne, DV Savin, O Legrand, U Kuhl - Physical Review E, 2020 - APS
We consider the efficiency of multiplexing spatially encoded information across random
configurations of a metasurface-programmable chaotic cavity in the microwave domain. The …

Saturation of number variance in embedded random-matrix ensembles

R Prakash, A Pandey - Physical Review E, 2016 - APS
We study fluctuation properties of embedded random matrix ensembles of noninteracting
particles. For ensemble of two noninteracting particle systems, we find that unlike the spectra …

On the exact distribution of mutual information of two-user MIMO MAC based on quotient distribution of Wishart matrices

G Pivaro, S Kumar, G Fraidenraich - EURASIP Journal on Wireless …, 2017 - Springer
We propose an exact calculation of the probability density function (PDF) and cumulative
distribution function (CDF) of mutual information (MI) for a two-user multiple-input multiple …