Journal ArticleDOI
SPICE: A Sparse Covariance-Based Estimation Method for Array Processing
Petre Stoica,Prabhu Babu,Jian Li +2 more
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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.read more
Citations
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Journal ArticleDOI
Grid-Less DOA Estimation Using Sparse Linear Arrays Based on Wasserstein Distance
TL;DR: A structured covariance estimation problem is formulated that minimizes the Bures–Wasserstein distance between the sample covariance matrix and the subsampled augmented covariance Matrix, which can be either casted to a semi-definite programming problem, or directly solved using gradient-based methods.
Journal ArticleDOI
2D off-grid DOA estimation using joint sparsity
TL;DR: The authors attempt to address the off-grid issue for the two-dimensional (2D) DOA estimation of a uniform rectangular array by proposing a modelling for the 2D off- grid problem based on joint sparsity using the block sparsity property.
Journal ArticleDOI
A Frequency-Domain SPICE Approach to High-Resolution Time Delay Estimation
Hyung-Rae Park,Jian Li +1 more
TL;DR: A frequency-domain sparse iterative covariance-based estimation (FD-SPICE) approach for the high-resolution time delay estimation of spread spectrum signals which makes use of the Fourier transform bins of the correlation output samples to form a sample covariance matrix.
Journal ArticleDOI
Fast Inverse-Scattering Reconstruction for Airborne High-Squint Radar Imagery Based on Doppler Centroid Compensation
TL;DR: In this article , a low-complexity inverse-scattering strategy was proposed to reduce the computational complexity of 2-D AHSR image inversion by requiring only the calculation of the inversion operator independently of the number of range cells.
Journal ArticleDOI
Covariance Matrix Estimation With Non Uniform and Data Dependent Missing Observations
Eduardo Pavez,Antonio Ortega +1 more
TL;DR: This work considers missing data mechanisms that can be independent of the data, or have a time varying dependency, and constructs an unbiased estimator and obtains bounds for the expected value of their estimation error in operator norm.
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
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.
Book
Spectral analysis of signals
Petre Stoica,Randolph L. Moses +1 more
TL;DR: 1. Basic Concepts. 2. Nonparametric Methods. 3. Parametric Methods for Rational Spectra.
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