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In this paper, we study how to efficiently and reliably detect active devices and estimate their channels in a multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) based grant-free non-orthogonal multiple…

信息论 · 计算机科学 2022-11-14 Wenjun Jiang , Mingyang Yue , Xiaojun Yuan , Yong Zuo

We study the asymptotic distribution of the eigenvalues of random Hermitian periodic band matrices, focusing on the spectral edges. The eigenvalues close to the edges converge in distribution to the Airy point process if (and only if) the…

数学物理 · 物理学 2011-01-25 Sasha Sodin

The classical Rician Weichselberger channel and the emerging holographic multiple-input multiple-output (MIMO) channel share a common characteristic of non-separable correlation, which captures the interdependence between transmit and…

信息论 · 计算机科学 2024-02-16 Xin Zhang , Shenghui Song , Khaled B. Letaief

Large H-selfadjoint random matrices are considered. The matrix $H$ is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonpositive type. It is showed that this eigenvalue converges in…

泛函分析 · 数学 2012-06-29 Michal Wojtylak

Eigenvectors of matrices on a network have been used for understanding spectral clustering and influence of a vertex. For matrices with small geodesic-width, we propose a distributed iterative algorithm in this letter to find eigenvectors…

分布式、并行与集群计算 · 计算机科学 2020-11-24 Nazar Emirov , Cheng Cheng , Qiyu Sun , Zhihua Qu

This paper addresses one of the classical problems in random matrix theory-- finding the distribution of the maximum eigenvalue of the correlated Wishart unitary ensemble. In particular, we derive a new exact expression for the cumulative…

信号处理 · 电气工程与系统科学 2018-11-19 Prathapasinghe Dharmawansa , Kumara Kahatapitiya , Saman Atapattu , Chintha Tellambura

A block Markov chain is a Markov chain whose state space can be partitioned into a finite number of clusters such that the transition probabilities only depend on the clusters. Block Markov chains thus serve as a model for Markov chains…

概率论 · 数学 2023-04-03 Jaron Sanders , Alexander Van Werde

We consider data transmission across discrete memoryless channels (DMCs) using variable-length codes with feedback. We consider the family of such codes whose rates are $\rho_N$ below the channel capacity $C$, where $\rho_N$ is a positive…

信息论 · 计算机科学 2018-05-17 Lan V. Truong , Vincent Y. F. Tan

We propose super-resolution MIMO channel estimators for millimeter-wave (mmWave) systems that employ hybrid analog and digital beamforming and generalized spatial modulation, respectively. Exploiting the inherent sparsity of mmWave…

信息论 · 计算机科学 2018-01-24 Hongyun Chu , Le Zheng , Xiaodong Wang

Hashing method maps similar data to binary hashcodes with smaller hamming distance, and it has received a broad attention due to its low storage cost and fast retrieval speed. However, the existing limitations make the present algorithms…

计算机视觉与模式识别 · 计算机科学 2016-09-29 Shifeng Zhang , Jianmin Li , Jinma Guo , Bo Zhang

We extend the so-called "single ring theorem"[1], also known as the Haagerup-Larsen theorem[2], by showing that in the limit when the size of the matrix goes to infinity a particular correlator between left and right eigenvectors of the…

数学物理 · 物理学 2017-02-09 Serban Belinschi , Maciej A. Nowak , Roland Speicher , Wojciech Tarnowski

In this paper, we develop a gradient-free optimization methodology for efficient resource allocation in Gaussian MIMO multiple access channels. Our approach combines two main ingredients: (i) an entropic semidefinite optimization based on…

信息论 · 计算机科学 2020-12-10 Olivier Bilenne , Panayotis Mertikopoulos , E. Veronica Belmega

Massive multiple-input multiple-output (MIMO) can improve the overall system performance significantly. Massive MIMO systems, however, may require a large number of radio frequency (RF) chains that could cause high cost and power…

信息论 · 计算机科学 2022-06-28 Hwanjin Kim , Junil Choi

We establish a lower bound on the noncoherent capacity pre-log of a temporally correlated Rayleigh block-fading single-input multiple-output (SIMO) channel. Our result holds for arbitrary rank Q of the channel correlation matrix, arbitrary…

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…

信息论 · 计算机科学 2023-01-18 Xin Zhang , Shenghui Song

A novel design procedure for practical hierarchical distribution matchers (HiDMs) in probabilistically shaped constellation systems is presented. The proposed approach enables the determination of optimal parameters for any target…

信号处理 · 电气工程与系统科学 2026-01-26 Pantea Nadimi Goki , Luca Potì

This paper studies the behaviour of the empirical eigenvalue distribution of large random matrices W_N W_N* where W_N is a ML x N matrix, whose M block lines of dimensions L x N are mutually independent Hankel matrices constructed from…

概率论 · 数学 2017-04-25 Philippe Loubaton , Xavier Mestre

We present a new method for the calculation of fragment size correlations in a discrete finite system in which correlations explicitly due to the finite extent of the system are suppressed. To this end, we introduce a combinatorial model,…

核实验 · 物理学 2009-11-07 Pierre Desesquelles

This paper proposes a joint optimization of pilot subcarrier allocation and non-orthogonal sequence for multiple-input-multiple-output (MIMO)-orthogonal frequency-division multiplexing (OFDM) systems under compressed sensing (CS)-based…

信号处理 · 电气工程与系统科学 2025-09-23 Kabuto Arai , Koji Ishibashi , Hiroki Iimori , Yuto Hama , Paulo Valente Klaine , Szabolcs Malomsoky

We compute the asymptotic empirical eigenvalue distribution of the matrix $M = \bigodot_{i=1}^k \frac{1}{d_i}X^{(i)}{X^{(i)}}^\top$ where $X^{(i)}\in\mathbb{R}^{n\times d_i}$ are independent matrices with independent rows but general…

概率论 · 数学 2026-01-14 Lucas Benigni , Ziyad Zaklani