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Hybrid massive MIMO structures with lower hardware complexity and power consumption have been considered as a potential candidate for millimeter wave (mmWave) communications. Channel covariance information can be used for designing…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Rui Hu , Jun Tong , Jiangtao Xi , Qinghua Guo , Yanguang Yu

In parameter estimation, nuisance parameters refer to parameters that are not of interest but nevertheless affect the precision of estimating other parameters of interest. For instance, the strength of noises in a probe can be regarded as a…

Quantum Physics · Physics 2020-12-02 Jun Suzuki , Yuxiang Yang , Masahito Hayashi

In many statistical signal processing applications, the estimation of nuisance parameters and parameters of interest is strongly linked to the resulting performance. Generally, these applications deal with complex data. This paper focuses…

Applications · Statistics 2016-08-24 Melanie Mahot , Philippe Forster , Frederic Pascal , Jean-Philippe Ovarlez

There is a great need for robust techniques in data mining and machine learning contexts where many standard techniques such as principal component analysis and linear discriminant analysis are inherently susceptible to outliers.…

Methodology · Statistics 2015-09-28 Garth Tarr , Samuel Müller , Neville C. Weber

A constrained L1 minimization method is proposed for estimating a sparse inverse covariance matrix based on a sample of $n$ iid $p$-variate random variables. The resulting estimator is shown to enjoy a number of desirable properties. In…

Methodology · Statistics 2011-02-14 Tony Cai , Weidong Liu , Xi Luo

Noise parameters are a set of four measurable quantities which determine the noise performance of a radio-frequency device under test. The noise parameters of a 2-port device can be extracted by connecting a set of 4 or more source…

Instrumentation and Methods for Astrophysics · Physics 2023-03-22 Danny C. Price , Cheuk-Yu Edward Tong , Adrian T. Sutinjo , Lincoln J. Greenhill , Nipanjana Patra

Many data-analysis problems involve large dense matrices that describe the covariance of stationary noise processes; the computational cost of inverting these matrices, or equivalently of solving linear systems that contain them, is often a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Rutger van Haasteren , Michele Vallisneri

The paper proposes a method for constructing a sparse estimator for the inverse covariance (concentration) matrix in high-dimensional settings. The estimator uses a penalized normal likelihood approach and forces sparsity by using a…

Statistics Theory · Mathematics 2008-06-26 Adam J. Rothman , Peter J. Bickel , Elizaveta Levina , Ji Zhu

In this paper, state and noise covariance estimation problems for linear system with unknown multiplicative noise are considered. The measurement likelihood is modelled as a mixture of two Gaussian distributions and a Student's t…

Signal Processing · Electrical Eng. & Systems 2023-08-29 Xingkai Yu , Ziyang Meng

The sensitivity of gravitational-wave (GW) detectors is characterized by their noise curves, which determine the detector's reach and ability to measure the parameters of astrophysical sources accurately. The detector noise is typically…

Instrumentation and Methods for Astrophysics · Physics 2025-03-21 Sumit Kumar , Alexander H. Nitz , Xisco Jiménez Forteza

We show that the limiting variance of a sequence of estimators for a structured covariance matrix has a general form that appears as the variance of a scaled projection of a random matrix that is of radial type and a similar result is…

Statistics Theory · Mathematics 2024-07-03 Hendrik Paul Lopuhaä

We address the problem of structured covariance matrix estimation for radar space-time adaptive processing (STAP). A priori knowledge of the interference environment has been exploited in many previous works to enable accurate estimators…

Methodology · Statistics 2016-02-18 Bosung Kang , Vishal Monga , Muralidhar Rangaswamy , Yuri I. Abramovich

The paper addresses the problem of designing radar detectors more robust than Kelly's detector to possible mismatches of the assumed target signature, but with no performance degradation under matched conditions. The idea is to model the…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Angelo Coluccia , Giuseppe Ricci , Olivier Besson

Target parameter estimation performance is investigated for a radar employing a set of widely separated transmitting and receiving antenna arrays. Cases with multiple extended targets are considered under two signal model assumptions:…

Information Theory · Computer Science 2018-08-02 Peter Khomchuk , Igal Bilik , Rick S. Blum

We consider a joint multiple-antenna radar-communications system in a co-existence scenario. Contrary to conventional applications, wherein at least the radar waveform and communications channel are known or estimated \textit{a priori}, we…

Information Theory · Computer Science 2022-06-13 Roman Jacome , Kumar Vijay Mishra , Edwin Vargas , Brian M. Sadler , Henry Arguello

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

The classical sparse parameter identification methods are usually based on the iterative basis selection such as greedy algorithms, or the numerical optimization of regularized cost functions such as LASSO and Bayesian posterior probability…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Yanxin Fu , Wenxiao Zhao

We study the matrix denoising problem of estimating the singular vectors of a rank-$1$ signal corrupted by noise with both column and row correlations. Existing works are either unable to pinpoint the exact asymptotic estimation error or,…

Statistics Theory · Mathematics 2024-10-29 Yihan Zhang , Marco Mondelli

In this article, we derive concentration inequalities for the spectral norm of two classical sample estimators of large dimensional Toeplitz covariance matrices, demonstrating in particular their asymptotic almost sure consistence. The…

Information Theory · Computer Science 2015-10-28 Julia Vinogradova , Romain Couillet , Walid Hachem

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

Analysis of PDEs · Mathematics 2018-06-21 Lorenzo Baldassari