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Capacity-achieving signaling strategies for the Gaussian wiretap MIMO channel are investigated without the degradedness assumption. In addition to known solutions, a number of new rank-deficient solutions for the optimal transmit covariance…

Information Theory · Computer Science 2016-11-15 Sergey Loyka , Charalambos D. Charalambous

Multiple cluster scattering MIMO channel is a useful model for pico-cellular MIMO networks. In this paper, orthogonal space-time block coded transmission over such a channel is considered, where the effective channel equals the product of n…

Information Theory · Computer Science 2014-04-07 Lu Wei , Zhong Zheng , Jukka Corander , Giorgio Taricco

We present theoretical and numerical evidence for a random matrix theoretic approach to a conjecture about vanishings of quadratic twists of certain L-functions

Number Theory · Mathematics 2007-05-23 J. Brian Conrey , Jonathan Keating , Michael Rubinstein , Nina Snaith

We investigate simulation-based bandpower covariance matrices commonly used in cosmological parameter inferences such as the estimation of the tensor-to-scalar ratio $r$. We find that upper limits on $r$ can be biased low by tens of…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Dominic Beck , Ari Cukierman , W. L. Kimmy Wu

We describe the structure of optimal Input covariance matrices for single user multiple-input/multiple-output (MIMO) communication system with covariance feedback and for general correlated fading. Our approach is based on the novel concept…

Information Theory · Computer Science 2016-11-18 Igor Bjelakovic , Holger Boche

We consider a Gaussian multiple-input multiple-output (MIMO) wiretap channel model, where there exists a transmitter, a legitimate receiver and an eavesdropper, each node equipped with multiple antennas. We study the problem of finding the…

Information Theory · Computer Science 2009-09-15 Jiangyuan Li , Athina Petropulu

We consider the problem of selecting $k_t \times k_r$ antennas from a Gaussian MIMO channel with $n_t \times n_r$ antennas, where $k_t \leq n_t$ and $k_r \leq n_r$. We prove the following two results that hold universally, in the sense that…

Information Theory · Computer Science 2016-08-17 Yahya H. Ezzeldin , Ayan Sengupta , Christina Fragouli

We consider MIMO (Multiple Input Multiple Output) wiretap channels, where a legitimate transmitter Alice is communicating with a legitimate receiver Bob in the presence of an eavesdropper Eve, and communication is done via MIMO channels. We…

Information Theory · Computer Science 2013-01-10 Jean-Claude Belfiore , Frédérique Oggier

Gaussian MIMO channel under total transmit and interference power constraints (TPC and IPC) is considered. A closed-form solution for the optimal transmit covariance matrix in the general case is obtained using the KKT-based approach (up to…

Information Theory · Computer Science 2020-02-20 Sergey Loyka

With the growth of wireless networks, security has become a fundamental issue in wireless communications due to the broadcast nature of these networks. In this work, we consider MIMO wiretap channels in a fast fading environment, for which…

Information Theory · Computer Science 2014-11-04 Maksym A. Girnyk , Frédéric Gabry , Mikko Vehkaperä , Lars K. Rasmussen , Mikael Skoglund

The problem of transmitting a common message to multiple users over the Gaussian multiple-input multiple-output broadcast channel is considered, where each user is equipped with an arbitrary number of antennas. A closed-loop scenario is…

Information Theory · Computer Science 2016-11-17 Anatoly Khina , Idan Livni , Ayal Hitron , Uri Erez

This paper focuses on martingale optimal transport problems when the martingales are assumed to have bounded quadratic variation. First, we give a result that characterizes the existence of a probability measure satisfying some convex…

Probability · Mathematics 2020-03-18 Erhan Bayraktar , Xin Zhang , Zhou Zhou

The capacity and optimal signaling over a fixed Gaussian MIMO channel are considered under the joint total and per-antenna power constraints (TPC and PAC). While the general case remains an open problem, a closed-form full-rank solution is…

Information Theory · Computer Science 2018-09-05 Sergey Loyka

Beamforming is a fundamental technology that not only enhances communication efficiency but also lays the foundation for massive multiple-input multiple-output~(MIMO) systems. However, its reliance on accurate channel state information…

Information Theory · Computer Science 2026-03-05 Yuanbo Liu , Bingcheng Zhu , Shuojin Huang , Han Zhang , Zaichen Zhang

Let $X$ be a symmetric, isotropic random vector in $\mathbb{R}^m$ and let $X_1...,X_n$ be independent copies of $X$. We show that under mild assumptions on $\|X\|_2$ (a suitable thin-shell bound) and on the tail-decay of the marginals…

Functional Analysis · Mathematics 2022-07-13 Daniel Bartl , Shahar Mendelson

Precise characterization of the mutual information of MIMO systems is required to assess the throughput of wireless communication channels in the presence of Rician fading and spatial correlation. Here, we present an asymptotic approach…

Information Theory · Computer Science 2016-11-17 Giorgio Taricco

Detecting the presence of a valid signal is an important task of a telecommunication receiver. When the receiver is unable to detect the presence of a valid signal, due to noise and fading, it is referred to as an erasure. This work deals…

Information Theory · Computer Science 2020-03-03 K. Vasudevan , A. Phani Kumar Reddy , Gyanesh Kumar Pathak , Shivani Singh

Gaussian copula has been employed to evaluate the outage performance of Fluid Antenna Systems (FAS), with the covariance matrix reflecting the dependence among multivariate normal random variables (RVs). While prior studies approximate this…

Information Theory · Computer Science 2025-12-02 Rui Xu , Yinghui Ye , Xiaoli Chu , Guangyue Lu , Farshad Rostami Ghadi , Kai-Kit Wong

This study investigates the mean capacity of multiple-input multiple-output (MIMO) systems for spatially semi-correlated flat fading channels. In reality, the capacity degrades dramatic due to the channel covariance (CC) when correlations…

Information Theory · Computer Science 2016-09-27 Md. Abdul Latif Sarker , Moon Ho Lee

The Rayleigh product channel model is useful in capturing the performance degradation due to rank deficiency of MIMO channels. In this paper, such a performance degradation is investigated via the channel outage probability assuming slowly…

Information Theory · Computer Science 2015-02-20 Zhong Zheng , Lu Wei , Roland Speicher , Ralf Müller , Jyri Hämäläinen , Jukka Corander