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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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OMP-based DOA estimation performance analysis

TL;DR: A new performance guarantee for Orthogonal Matching Pursuit (OMP) in the context of the Direction Of Arrival (DOA) estimation problem is presented.
Journal ArticleDOI

Robust Sparse Bayesian Learning for Off-Grid DOA Estimation With Non-Uniform Noise

TL;DR: A robust sparse Bayesian learning method that can maintain excellent DOA estimation performance with uniform or non-uniform noise and achieve satisfactory performance under a coarse grid condition is proposed.
Journal ArticleDOI

A sparse sampling strategy for angular superresolution of real beam scanning radar

TL;DR: The sparse sampling model of RBSR is described as an underdetermined equation-solving problem, the received signals are sparsely recovered in target domain, and simulation results show that compressive sampling methods can recover the target domain accurately, especially under the condition of high signal-to-noise ratio (SNR).
Proceedings ArticleDOI

Structured Channel Covariance Estimation from Limited Samples in Massive MIMO

TL;DR: In this paper, a Maximum-Likelihood (ML) massive MIMO covariance estimator based on a parametric representation of the channel angular spread function (ASF) is proposed.
Journal ArticleDOI

Fast Frequency Estimation With Prior Information

TL;DR: A fast gridless method for sparse frequency estimation in the presence of prior information that allows arbitrarily sampled data and has a significantly smaller complexity than the existing gridless sparse recovery methods is presented.
References
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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

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System identification

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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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