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In this paper three different scenarios in wide band spectrum sensing have been studied. While the signal and noise statistics are supposed to be unspecified, random matrixes have been utilized in order to estimate the noise variance. These…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Sajjad Imani , Amin Banitalebi-Dehkordi , Mehdi Cheraghi

The eigenvalue decomposition (EVD) parameters of the second order statistics are ubiquitous in statistical analysis and signal processing. Notably, the EVD of robust scatter $M$-estimators is a popular choice to perform robust probabilistic…

Applications · Statistics 2019-10-02 Gordana Draskovic , Arnaud Breloy , Frederic Pascal

Orthogonal Frequency-Division Multiplexing (OFDM) is widely used in modern wireless communication systems due to its robustness against time-dispersive channels. In this work, we consider a non-cooperative scenario where the receiver does…

Information Theory · Computer Science 2025-11-25 Vishnu Priya Chekuru , Ganapathiraju S S Ananya Varma , Arti Yardi , Praful Mankar

We study the estimation of the high-dimensional covariance matrix andits eigenvalues under dynamic volatility models. Data under such modelshave nonlinear dependency both cross-sectionally and temporally. We firstinvestigate the empirical…

Statistics Theory · Mathematics 2022-11-22 Yi Ding , Xinghua Zheng

Asymptotic spectral distribution (ASD) of the crosscorrelation matrix is investigated for a random spreading short/long-code asynchronous direct sequence-code division multiple access (DS-CDMA) system. The discrete-time decision statistics…

Information Theory · Computer Science 2008-10-06 Chien-Hwa Hwang

In this paper, we propose and analyze a spectrum sensing method based on cyclostationarity specifically targeted for receivers with multiple antennas. This detection method is used for determining the presence or absence of primary users in…

Performance · Computer Science 2016-11-15 Paulo Urriza , Eric Rebeiz , Danijela Cabric

We consider a spectrum-sharing cognitive radio system with antenna selection applied at the secondary transmitter (ST). Based on the extreme value theory, we deduce a simple and accurate expression for the asymptotic distribution of the…

Information Theory · Computer Science 2015-06-18 Ruifeng Duan , Zhong Zheng , Riku Jäntti , Jyri Hämäläinen

We present a mathematically justifiable, computationally simple, sample eigenvalue based procedure for estimating the number of high-dimensional signals in white noise using relatively few samples. The main motivation for considering a…

Statistics Theory · Mathematics 2007-05-23 N. Raj Rao , Alan Edelman

Power systems are developing very fast nowadays, both in size and in complexity; this situation is a challenge for Early Event Detection (EED). This paper proposes a data- driven unsupervised learning method to handle this challenge.…

Methodology · Statistics 2015-09-16 Xing He , Robert Caiming Qiu , Qian Ai , Yinshuang Cao , Jie Gu , Zhijian Jin

Smart grids extremely rely on Information and Communications Technology (ICT) and smart meters to control and manage numerous parameters of the network. However, using these infrastructures make smart grids more vulnerable to cyber threats…

Machine Learning · Computer Science 2021-02-12 Hossein Mohammadi Rouzbahani , Hadis Karimipour , Lei Lei

We investigate the spectral statistics of the difference of two density matrices, each of which is independently obtained by partially tracing a random bipartite pure quantum state. We first show how a closed-form expression for the exact…

Mathematical Physics · Physics 2016-12-12 José Mejía , Camilo Zapata , Alonso Botero

In this paper we derive and analyze two algorithms -- referred to as decentralized power method (DPM) and decentralized Lanczos algorithm (DLA) -- for distributed computation of one (the largest) or multiple eigenvalues of a sample…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-29 Federico Penna , Slawomir Stanczak

This paper investigates a new model to improve the scalability of low-power long-range (LoRa) networks by allowing multiple end devices (EDs) to simultaneously communicate with multiple multi-antenna gateways on the same frequency band and…

Signal Processing · Electrical Eng. & Systems 2021-11-22 The Khai Nguyen , Ha H. Nguyen , Ebrahim Bedeer

Harvesting the gain of a large number of antennas in a mmWave band has mainly been relying on the costly operation of channel state information (CSI) acquisition and cumbersome phase shifters. Recent works have started to investigate the…

Information Theory · Computer Science 2016-08-24 Lishuai Jing , Elisabeth De Carvalho , Petar Popovski , Alex Oliveras Martinez

This paper investigates the signal detection problem in colored noise with an unknown covariance matrix. In particular, we focus on detecting an unknown non-random signal by capitalizing on the leading eigenvalue of the whitened sample…

Signal Processing · Electrical Eng. & Systems 2024-02-01 Prathapasinghe Dharmawansa , Saman Atapattu , Jamie Evans , Kandeepan Sithamparanathan

In this paper, we consider the spectrum sensing in cognitive radio networks when the impulsive noise appears. We propose a class of blind and robust detectors using M-estimators in eigenvalue based spectrum sensing method. The conventional…

Signal Processing · Electrical Eng. & Systems 2019-09-11 Zhedong Liu , Abla Kammoun , Mohamed Slim Alouini

Herein, we present a detailed analysis of an eigenvalue based sensing technique in the presence of correlated noise in the context of a Cognitive Radio (CR). We use a Standard Condition Number (SCN) based decision statistic based on…

Information Theory · Computer Science 2012-10-24 Shree Krishna Sharma , Symeon Chatzinotas , Björn Ottersten

This paper considers cooperative spectrum sensing algorithms for Cognitive Radios which focus on reducing the number of samples to make a reliable detection. We develop an energy efficient detector with low detection delay using…

Information Theory · Computer Science 2013-08-29 Jithin K. Sreedharan , Vinod Sharma

We consider multi-antenna cooperative spectrum sensing in cognitive radio networks, when there may be multiple primary users. A detector based on the spherical test is analyzed in such a scenario. Based on the moments of the distributions…

Information Theory · Computer Science 2016-11-18 Lu Wei , Olav Tirkkonen

In this letter, the problem of spectrum sensing is addressed for noncircular (NC) signal in cognitive radio networks with uncalibrated multiple antennas. Specifically, by taking both the standard covariance and complementary covariance…

Signal Processing · Electrical Eng. & Systems 2019-12-17 An-Zhi Chen , Zhi-Ping Shi