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Using numerical exact diagonalization, we study matrix elements of a local spin operator in the eigenbasis of two different nonintegrable quantum spin chains. Our emphasis is on the question to what extent local operators can be represented…

统计力学 · 物理学 2020-10-27 Jonas Richter , Anatoly Dymarsky , Robin Steinigeweg , Jochen Gemmer

The spiked covariance model has gained increasing popularity in high-dimensional data analysis. A fundamental problem is determination of the number of spiked eigenvalues, $K$. For estimation of $K$, most attention has focused on the use of…

统计方法学 · 统计学 2021-01-07 Zheng Tracy Ke , Yucong Ma , Xihong Lin

This paper considers channel estimation and system performance for the uplink of a single-cell massive multiple-input multiple-output (MIMO) system. Each receive antenna of the base station (BS) is assumed to be equipped with a pair of…

信息论 · 计算机科学 2017-08-02 Yongzhi Li , Cheng Tao , Gonzalo Seco-Granados , Amine Mezghani , A. Lee Swindlehurst , Liu Liu

Training beam design for channel estimation with infinite-resolution and low-resolution phase shifters (PSs) in hybrid analog-digital milimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems is considered in this paper.…

信号处理 · 电气工程与系统科学 2025-06-03 Xiaochun Ge , Wenqian Shen , Chengwen Xing , Lian Zhao , Jianping An

The paper addresses state estimation for discrete-time systems with binary (threshold) measurements by following a Maximum A posteriori Probability (MAP) approach and exploiting a Moving Horizon (MH) approximation of the MAP cost-function.…

系统与控制 · 计算机科学 2018-04-09 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Gherardini

This paper studies the problem of selecting a submatrix of a positive definite matrix in order to achieve a desired bound on the smallest eigenvalue of the submatrix. Maximizing this smallest eigenvalue has applications to selecting input…

系统与控制 · 计算机科学 2017-09-08 Andrew Clark , Qiqiang Hou , Linda Bushnell , Radha Poovendran

Consider real symmetric, complex Hermitian Toeplitz and real symmetric Hankel band matrix models, where the bandwidth $b_{N}\ra \iy$ but $b_{N}/N \to b$, $b\in [0,1]$ as $N\to \infty$. We prove that the distributions of eigenvalues converge…

概率论 · 数学 2009-11-02 Dang-Zheng Liu , Zheng-Dong Wang

This work considers a multicell Massive MIMO network with $L$ cells, each comprising a BS with $M$ antennas and $K$ single-antenna user equipments. Within this setting, we are interested in deriving approximations of the achievable rates in…

信息论 · 计算机科学 2018-11-29 Luca Sanguinetti , Abla Kammoun , Merouane Debbah

We consider random hermitian matrices made of complex blocks. The symmetries of these matrices force them to have pairs of opposite real eigenvalues, so that the average density of eigenvalues must vanish at the origin. These densities are…

凝聚态物理 · 物理学 2009-10-28 E. Brézin , S. Hikami , A. Zee

We derive the limiting distribution for the largest eigenvalues of the adjacency matrix for a stochastic blockmodel graph when the number of vertices tends to infinity. We show that, in the limit, these eigenvalues are jointly multivariate…

机器学习 · 统计学 2018-04-02 Minh Tang

In the present work, eigenvalue distributions defined by a random rectangular matrix whose components are neither independently nor identically distributed are analyzed using replica analysis and belief propagation. In particular, we…

投资组合管理 · 定量金融 2016-05-24 Takashi Shinzato

Approximate random matrix models for $\kappa-\mu$ and $\eta-\mu$ faded multiple input multiple output (MIMO) communication channels are derived in terms of a complex Wishart matrix. The proposed approximation has the least Kullback-Leibler…

信息论 · 计算机科学 2019-10-23 Muralikrishnan Srinivasan , Sheetal Kalyani

Limited capacity of fronthaul links in a cell-free massive multiple-input multiple-output (MIMO) system can cause quantization errors at a central processing unit (CPU) during data transmission, complicating the centralized rate…

信号处理 · 电气工程与系统科学 2024-03-29 Minje Kim , In-soo Kim , Junil Choi

This letter proposes a parametric sparse multiple input multiple output (MIMO)-OFDM channel estimation scheme based on the finite rate of innovation (FRI) theory, whereby super-resolution estimates of path delays with arbitrary values can…

信息论 · 计算机科学 2015-07-21 Zhen Gao , Linglong Dai , Zhaohua Lu , Chau Yuen , Zhaocheng Wang

It is well known that, under some assumptions, the limit distribution of random block matrices and their partial transposition converges to the distributions of random variables in some noncommutative probability space. Using free…

量子物理 · 物理学 2023-03-21 Zhi Yin , Liang Zhao

Financial stock return correlations have been analyzed through the lens of random matrix theory to differentiate the underlying signal from spurious correlations. The continuous spectrum of the eigenvalue distribution derived from the stock…

统计金融 · 定量金融 2025-11-11 Ixandra Achitouv , Vincent Lahoche , Dine Ousmane Samary

Low Earth orbit (LEO) satellite systems experience significant Doppler effects due to high mobility. While Doppler shifts can be largely compensated, residual frequency uncertainty induces a structured form of channel uncertainty that can…

信息论 · 计算机科学 2026-02-05 Pablo Orellana , Zheng Li , Jean-Marc Kelif , Sheng Yang , Shlomo Shamai

The eigenvalue distribution of Hoppe's two matrix model is investigated in detail as a function of the model's coupling. For small couplings it is a perturbed Wigner semicircle, while for large couplings it is a parabolic distribution which…

高能物理 - 理论 · 物理学 2013-11-13 Veselin G. Filev , Denjoe O'Connor

In diffusion-based communication, as for molecular systems, the achievable data rate is low due to the stochastic nature of diffusion which exhibits a severe inter-symbol-interference (ISI). Multiple-Input Multiple-Output (MIMO)…

信息论 · 计算机科学 2019-04-26 S. M. Reza Rouzegar , Umberto Spagnolini

This paper focuses on studying the fundamental performance limits and linear dispersion code design for the MIMO-ARQ slow fading channel. Optimal average rate of well-known HARQ protocols is analyzed. The optimal design of space-time coding…

信息论 · 计算机科学 2009-05-27 Cong Shen , Michael P. Fitz