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We introduce a new method for studying murmurations, based on random matrix theory. With this method, we exhibit murmurations or similar phenomena: assuming ratios conjectures, for elliptic curves ordered by height, quadratic twists of a…

Number Theory · Mathematics 2025-04-23 Alex Cowan

This paper studies receiver design in single-input multiple-output (SIMO) slow fading channels with imperfect channel state information (CSI) at the receiver only. Using generalized mutual information (GMI) as achievable rate, we study the…

Information Theory · Computer Science 2022-08-19 Wenyi Shi , Shuqin Pang , Wenyi Zhang

We consider covariance estimation in the multivariate generalized Gaussian distribution (MGGD) and elliptically symmetric (ES) distribution. The maximum likelihood optimization associated with this problem is non-convex, yet it has been…

Methodology · Statistics 2015-06-15 Teng Zhang , Ami Wiesel , Maria Sabrina Grec

The asymptotic mutual information (MI) analysis for multiple-input multiple-output (MIMO) systems over double-scattering channels has achieved engaging results, but the convergence rates of the mean, variance, and the distribution of the MI…

Information Theory · Computer Science 2023-01-18 Xin Zhang , Shenghui Song

In this paper, we develop an accurate closed-form analytic expression of the outage probability for each source-destination (S-D) pair in the two S-D pairs two relays wireless network, where cooperative network coding is applied over…

Information Theory · Computer Science 2024-06-14 Elias Benamira , Fatiha Merazka , Güneş Karabulut Kurt

We provide an alternative proof for the capacity region of the degraded Gaussian multiple-input multiple-output (MIMO) broadcast channel. Our proof does not use the channel enhancement technique as opposed to the original proof of…

Information Theory · Computer Science 2010-02-23 Ersen Ekrem , Sennur Ulukus

The transmission of a Gaussian source over a block-fading multiple antenna channel in the presence of a feedback link is considered. The feedback link is assumed to be an error and delay free link of capacity 1 bit per channel use. Under…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Andrea Goldsmith , H. Vincent Poor

The parallel fading channel, which consists of finite number of subchannels, is very important, because it can be used to formulate many practical communication systems. The outage probability, on the other hand, is widely used to analyze…

Information Theory · Computer Science 2013-07-19 Bo Bai , Wei Chen , Khaled B. Letaief , Zhigang Cao

We investigate the problem of message transmission and the problem of common randomness (CR) generation over single-user multiple-input multiple-output (MIMO) slow fading channels with average input power constraint, additive white Gaussian…

Information Theory · Computer Science 2022-10-24 Rami Ezzine , Moritz Wiese , Christian Deppe , Holger Boche

In this letter, we consider the coexistence and spectrum sharing between downlink multi-user multiple-input-multiple-output (MU-MIMO) communication and a MIMO radar. For a given performance requirement of the downlink communication system,…

Information Theory · Computer Science 2017-07-04 Fan Liu , Christos Masouros , Ang Li , Tharmalingam Ratnarajah

This paper presents two new results on multiple-input multiple-output (MIMO) Gaussian broadcast channels with confidential messages. First, the problem of the MIMO Gaussian wiretap channel is revisited. A matrix characterization of the…

Information Theory · Computer Science 2016-11-15 Ruoheng Liu , Tie Liu , H. Vincent Poor , Shlomo Shamai

Multiple-input multiple-output (MIMO) or multi-antenna communication is a key technique to achieve high spectral efficiency in wireless systems. For the point-to-point MIMO channel, it is a well-known result that the channel singular value…

Information Theory · Computer Science 2016-11-17 Liang Liu , Rui Zhang

Through refined asymptotic analysis based on the normal approximation, we study how higher-order coding performance depends on the mean power as well as on finer statistics of the input power. We introduce a multifaceted power model in…

Information Theory · Computer Science 2026-05-13 Adeel Mahmood , Aaron B. Wagner

The free-space optical (FSO) communications can achieve high capacity with huge unlicensed optical spectrum and low operational costs. The corresponding performance analysis of FSO systems over turbulence channels is very limited,…

Information Theory · Computer Science 2016-11-18 Jiayi Zhang , Linglong Dai , Yanjun Han , Yu Zhang , Zhaocheng Wang

This work addresses the question of achieving capacity with lattice codes in multi-antenna block fading channels when the number of fading blocks tends to infinity. A design criterion based on the normalized minimum determinant is proposed…

Information Theory · Computer Science 2015-07-28 Laura Luzzi , Roope Vehkalahti

We discuss the statistics of tunnelling rates in the presence of chaotic classical dynamics. This applies to resonance widths in chaotic metastable wells and to tunnelling splittings in chaotic symmetric double wells. The theory is based on…

chao-dyn · Physics 2009-01-23 Stephen C. Creagh , Niall D. Whelan

This paper considers the problem of secret communication over a two-receiver multiple-input multiple-output (MIMO) Gaussian broadcast channel. The transmitter has two independent messages, each of which is intended for one of the receivers…

Information Theory · Computer Science 2009-03-24 Ruoheng Liu , Tie Liu , H. Vincent Poor , Shlomo Shamai

Technology is moving towards space division multiplexing in optical fiber to keep up the trend in rate increase over time and to avoid an imminent capacity crunch. Thus, it is of paramount interest to estimate the potential gains of this…

Information Theory · Computer Science 2016-04-12 Apostolos Karadimitrakis , Aris L. Moustakas , Hartmut Hafermann , Axel Mueller

The long-standing conjectures of the optimality of Gaussian inputs for Gaussian channel and Gaussian additivity are solved for a broad class of covariant or contravariant Bosonic Gaussian channels (which includes in particular thermal,…

Quantum Physics · Physics 2015-03-04 V. Giovannetti , A. S. Holevo , R. Garcia-Patron

Performance analysis of low Earth orbit (LEO) satellite-to-ground optical links relies on composite fading models that typically evaluate scintillation and angular loss under the assumption of statistical independence. While ensuring…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Xinyan Xie , Xuesong Wang , Jinghua Zhang , Fengrui Yang , Yongheng Wen , Haoyang He , Dong Zhao