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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

We derive results on the distribution of directions of saddle connections on translation surfaces using only the Birkhoff ergodic theorem applied to the geodesic flow on the moduli space of translation surfaces. Our techniques, together…

Dynamical Systems · Mathematics 2016-05-16 Jayadev Athreya , Andrew Parrish , Jimmy Tseng

Pixel-based fluid antennas provide enhanced multiplexing gains and quicker radiation pattern switching than traditional designs. However, this innovation introduces challenges for channel estimation and analog precoding due to the…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Huayan Guo , Jichen Zhang , Junhui Rao , Ross Murch , Vincent K. N. Lau

The discovery of novel experimental techniques often lags behind contemporary theoretical understanding. In particular, it can be difficult to establish appropriate measurement protocols without analytic descriptions of the underlying…

Data Analysis, Statistics and Probability · Physics 2023-07-21 Nicholas Hindley , Stephen J. DeVience , Ella Zhang , Leo L. Cheng , Matthew S. Rosen

We consider Schr\"odinger operators in $\ell^2(\mathbb{Z})$ whose potentials are given by the sum of an ergodic term and a random term of Anderson type. Under the assumption that the ergodic term is generated by a homeomorphism of a…

Spectral Theory · Mathematics 2022-11-07 Artur Avila , David Damanik , Anton Gorodetski

We study the multi-terminal remote estimation problem under a rate constraint, in which the goal of the encoder is to help each decoder estimate a function over a certain distribution -- while the distribution is known only to the encoder,…

Information Theory · Computer Science 2025-05-13 Maximilian Egger , Rawad Bitar , Antonia Wachter-Zeh , Nir Weinberger , Deniz Gündüz

Hybrid precoding is an indispensable technique to harness the full potential of a multi-user massive multiple-input, multiple-output (MU-MMIMO) system. In this paper, we propose a new hybrid precoding approach that combines digital and…

Networking and Internet Architecture · Computer Science 2025-10-29 Azadeh Pourkabirian , Kai Li , Photios A. Stavrou , Wei Ni

This paper adresses the behaviour of the mutual information of correlated MIMO Rayleigh channels when the numbers of transmit and receive antennas converge to infinity at the same rate. Using a new and simple approach based on…

Information Theory · Computer Science 2007-07-13 Walid Hachem , Oleksiy Khorunzhiy , Philippe Loubaton , Jamal Najim , Leonid Pastur

Ergodic coverage effectively generates exploratory behaviors for embodied agents by aligning the spatial distribution of the agent's trajectory with a target distribution, where the difference between these two distributions is measured by…

Robotics · Computer Science 2025-04-28 Max Muchen Sun , Allison Pinosky , Todd Murphey

This paper provides a new path method that can be used to determine when an ergodic continuous-time Markov chain on $\mathbb Z^d$ converges exponentially fast to its stationary distribution in $L^2$. Specifically, we provide general…

Probability · Mathematics 2023-10-02 David F. Anderson , Daniele Cappelletti , Wai-Tong Louis Fan , Jinsu Kim

This letter studies the ergodic mutual information (EMI) of keyhole multiple-input multiple-output channels having finite-alphabet input signals. The EMI is first investigated for single-stream transmission considering both cases with and…

Information Theory · Computer Science 2022-09-12 Chongjun Ouyang , Ali Bereyhi , Saba Asaad , Ralf R. Müller , Julian Cheng , Hongwen Yang

In this paper we consider the computation of channel capacity for ergodic multiple-input multiple-output channels with additive white Gaussian noise. Two scenarios are considered. Firstly, a time-varying channel is considered in which both…

Information Theory · Computer Science 2007-07-13 Leif W Hanlen , Alex J Grant

Massive MIMO base stations use multiple spatial diversity branches, which are often assumed to be uncorrelated in theoretical work. Correlated branches are considered seldom since they are mathematically less tractable. For correlated…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Jens Abraham , Pablo Ramirez-Espinosa , Torbjörn Ekman

This paper considers a deterministic physical model of massive multiple-input multiple-output (MIMO) systems with uniform linear antenna arrays. It is known that the maximum spatial degrees of freedom is achieved by spacing antenna elements…

Information Theory · Computer Science 2016-01-22 Keigo Takeuchi

A spatially correlated broadcast setting with M antennas at the base station and M users (each with a single antenna) is considered. We assume that the users have perfect channel information about their links and the base station has only…

Information Theory · Computer Science 2016-11-17 Vasanthan Raghavan , Venu Veeravalli , Stephen Hanly

This paper studies the ergodic rate performance of regularized zero-forcing (RZF) precoding in the downlink of a multi-user multiple-input single-output (MISO) system, where the channel between the base station (BS) and each user is modeled…

Information Theory · Computer Science 2019-04-30 Qurrat-Ul-Ain Nadeem , Abla Kammoun , Merouane Debbah , Mohamed-Slim Alouini

This paper presents a new view of multi-user (MU) hybrid massive multiple-input and multiple-output (MIMO) systems from array signal processing perspective. We first show that the instantaneous channel vectors corresponding to different…

Information Theory · Computer Science 2022-10-18 Hai Lin , Feifei Gao , Shi Jin , Geoffrey Ye Li

Multiple antenna (MIMO) devices are widely used to increase reliability and information bit rate. Optimal error rate performance (full diversity and large coding gain), for unknown channel state information at the transmitter and for…

Information Theory · Computer Science 2012-05-14 Dieter Duyck , Sheng Yang , Fambirai Takawira , Joseph J. Boutros , Marc Moeneclaey

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

We analyze the high-SNR regime of the MxK Network MISO channel in which each transmitter has access to a different channel estimate, possibly with different precision. It has been recently shown that, for some regimes, this setting attains…

Information Theory · Computer Science 2021-10-12 Antonio Bazco-Nogueras , Paul de Kerret , David Gesbert , Nicolas Gresset