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This work is concerned with the estimation of multidimensional regression and the asymptotic behaviour of the test involved in selecting models. The main problem with such models is that we need to know the covariance matrix of the noise to…

Statistics Theory · Mathematics 2008-02-20 Joseph Rynkiewicz

Consider large signal-plus-noise data matrices of the form $S + \Sigma^{1/2} X$, where $S$ is a low-rank deterministic signal matrix and the noise covariance matrix $\Sigma$ can be anisotropic. We establish the asymptotic joint distribution…

Statistics Theory · Mathematics 2024-01-23 Zeqin Lin , Guangming Pan , Peng Zhao , Jia Zhou

Motivated by the wide presence of multilayer networks in both natural and human-made systems, within a random matrix theory (RMT) approach, in this study we compute eigenfunction and spectral properties of multilayer directed random…

Disordered Systems and Neural Networks · Physics 2024-10-14 G. Tapia-Labra , M. Hernández-Sánchez , J. A. Méndez-Bermúdez

Developing an efficient spectrum access policy enables cognitive radios to dramatically increase spectrum utilization while ensuring predetermined quality of service levels for primary users. In this paper, modeling, performance analysis,…

Information Theory · Computer Science 2014-09-04 Hossein Shokri-Ghadikolaei , Carlo Fischione

We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

Social and Information Networks · Computer Science 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

In this paper, we study the convergence rates of empirical spectral distribution of large dimensional quaternion sample covariance matrix. Assume that the entries of $\mathbf X_n$ ($p\times n$) are independent quaternion random variables…

Probability · Mathematics 2013-12-30 Huiqin LI , Zhidong Bai

We analyze gene co-expression network under the random matrix theory framework. The nearest neighbor spacing distribution of the adjacency matrix of this network follows Gaussian orthogonal statistics of random matrix theory (RMT). Spectral…

Molecular Networks · Quantitative Biology 2015-05-18 Sarika Jalan , Norbert Solymosi , Gabör Vattay , Baowen Li

We investigate the problem of spectrum sensing in cognitive radios (CRs) when the receivers are equipped with a large array of antennas. We propose and derive three detectors based on the concept of linear spectral statistics (LSS) in the…

Signal Processing · Electrical Eng. & Systems 2024-02-23 Amirhossein Taherpour , Abbas Taherpour , Tamer Khattab

This paper addresses a critical preliminary step in radar signal processing: detecting the presence of a radar signal and robustly estimating its bandwidth. Existing methods which are largely statistical feature-based approaches face…

Signal Processing · Electrical Eng. & Systems 2024-03-01 Akila Pemasiri , Zi Huang , Fraser Williams , Ethan Goan , Simon Denman , Terrence Martin , Clinton Fookes

The performance of collaborative beamforming is analyzed using the theory of random arrays. The statistical average and distribution of the beampattern of randomly generated phased arrays is derived in the framework of wireless ad hoc…

Information Theory · Computer Science 2016-08-31 Hideki Ochiai , Patrick Mitran , H. Vincent Poor , Vahid Tarokh

Embedded devices are omnipresent in modern networks including the ones operating inside critical environments. However, due to their constrained nature, novel mechanisms are required to provide external, and non-intrusive anomaly detection.…

Cryptography and Security · Computer Science 2023-02-07 Kurt A. Vedros , Georgios Michail Makrakis , Constantinos Kolias , Robert C. Ivans , Craig Rieger

This paper presents a spectrum monitoring algorithm for Orthogonal Frequency Division Multiplexing (OFDM) based cognitive radios by which the primary user reappearance can be detected during the secondary user transmission. The proposed…

Information Theory · Computer Science 2015-06-23 Abdelmohsen Ali , Walaa Hamouda

We consider sample covariance matrices $S_N=\frac{1}{p}\Sigma_N^{1/2}X_NX_N^* \Sigma_N^{1/2}$ where $X_N$ is a $N \times p$ real or complex matrix with i.i.d. entries with finite $12^{\rm th}$ moment and $\Sigma_N$ is a $N \times N$…

Probability · Mathematics 2009-11-17 Olivier Ledoit , Sandrine Péché

In this paper, we consider a simple coding scheme for spatial modulation (SM), where the same set of active transmit antennas is repeatedly used over consecutive multiple transmissions. Based on a Gaussian approximation, an approximate…

Information Theory · Computer Science 2019-01-01 Jinho Choi

The search for physics beyond the Standard Model (BSM) at collider experiments requires model-independent strategies to avoid missing possible discoveries of unexpected signals. Anomaly detection (AD) techniques offer a promising approach…

High Energy Physics - Phenomenology · Physics 2026-02-05 Fernando Abreu de Souza , Maura Barros , Nuno Filipe Castro , Miguel Crispim Romão , Céu Neiva , Rute Pedro

In this paper, we study the transmit signal optimization in a multiple-input multiple-output (MIMO) radar system for sensing the angle information of multiple targets via their reflected echo signals. We consider a challenging and practical…

Information Theory · Computer Science 2024-09-16 Jiayi Yao , Shuowen Zhang

We propose a novel estimation procedure for certain spectral distributions associated with a class of high dimensional linear time series. The processes under consideration are of the form $X_t = \sum_{\ell=0}^\infty \mathbf{A}_\ell…

Statistics Theory · Mathematics 2025-04-15 Jamshid Namdari , Alexander Aue , Debashis Paul

As wireless communication applications evolve from traditional multipath environments to high-mobility scenarios like unmanned aerial vehicles, multiplexing techniques have advanced accordingly. Traditional single-carrier frequency-domain…

Information Theory · Computer Science 2026-01-15 Lei Liu , Yuhao Chi , Shunqi Huang , Zhaoyang Zhang

We develop techniques to compute the k-th Moment of the Eigenvalue-statistic for a random Matrix M the entries of which do not have to be necessarily Independent. The dependence is controlled via an equivalence relation on the pairs of the…

Mathematical Physics · Physics 2016-05-12 Riccardo Catalano

This paper addresses the dual challenge of improving anomaly detection and signal integrity in high-speed dynamic random access memory signals. To achieve this, we propose a joint training framework that integrates an autoencoder with a…

Machine Learning · Computer Science 2025-06-24 Muhammad Usama , Hee-Deok Jang , Soham Shanbhag , Yoo-Chang Sung , Seung-Jun Bae , Dong Eui Chang