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Journal ArticleDOI

SPICE: A Sparse Covariance-Based Estimation Method for Array Processing

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TLDR
This paper presents a novel SParse Iterative Covariance-based Estimation approach, abbreviated as SPICE, to array processing, obtained by the minimization of a covariance matrix fitting criterion and is particularly useful in many- snapshot cases but can be used even in single-snapshot situations.
Abstract
This paper presents a novel SParse Iterative Covariance-based Estimation approach, abbreviated as SPICE, to array processing. The proposed approach is obtained by the minimization of a covariance matrix fitting criterion and is particularly useful in many-snapshot cases but can be used even in single-snapshot situations. SPICE has several unique features not shared by other sparse estimation methods: it has a simple and sound statistical foundation, it takes account of the noise in the data in a natural manner, it does not require the user to make any difficult selection of hyperparameters, and yet it has global convergence properties.

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Citations
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Journal ArticleDOI

Partial Dictionary Based Off-Grid DOA Estimation Using Combined Coprime and Nested Array

TL;DR: In this paper, a partial dictionary based direction of arrival (DOA) estimation method which exploits combined coprime and nested array (CCNA) is proposed to address the off-grid problem.
Journal ArticleDOI

Gridless DOA estimation based on multivariate function genetic optimisation

TL;DR: Simulation results finally demonstrate the superiority of the proposed approach in terms of DOA estimation precision and computational efficiency over the grid-based sparse reconstruction algorithm.
Book ChapterDOI

New Challenges in Covariance Estimation: Multiple Structures and Coarse Quantization

TL;DR: In this paper , the authors revisited a fundamental problem of multivariate statistics: estimating covariance matrices from finitely many independent samples based on massive multiple-input multiple-output (MIMO) systems.
References
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Journal ArticleDOI

Regression Shrinkage and Selection via the Lasso

TL;DR: A new method for estimation in linear models called the lasso, which minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant, is proposed.
Journal ArticleDOI

Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones

TL;DR: This paper describes how to work with SeDuMi, an add-on for MATLAB, which lets you solve optimization problems with linear, quadratic and semidefiniteness constraints by exploiting sparsity.
Book

System identification

Book

Interior-Point Polynomial Algorithms in Convex Programming

TL;DR: This book describes the first unified theory of polynomial-time interior-point methods, and describes several of the new algorithms described, e.g., the projective method, which have been implemented, tested on "real world" problems, and found to be extremely efficient in practice.
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Spectral analysis of signals

TL;DR: 1. Basic Concepts. 2. Nonparametric Methods. 3. Parametric Methods for Rational Spectra.
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