Journal ArticleDOI
SPICE: A Sparse Covariance-Based Estimation Method for Array Processing
Petre Stoica,Prabhu Babu,Jian Li +2 more
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.read more
Citations
More filters
Journal ArticleDOI
Real-Valued Sparse Bayesian Learning for DOA Estimation With Arbitrary Linear Arrays
Jisheng Dai,Hing Cheung So +1 more
TL;DR: In this article, the authors proposed a real-valued transformation for sparse Bayesian estimation with arbitrary linear arrays by exploiting the virtual steering of linear arrays and introduced an alternating optimization algorithm based on the variational Bayesian inference (VBI) methodology to iteratively obtain a stationary solution.
Journal ArticleDOI
Sparse representation based two-dimensional direction of arrival estimation using co-prime array
TL;DR: The two ULAs of the co-prime array are placed parallel to each other in the same plane for two-dimensional (2D)DOA estimation, and the uniqueness proof of DOA estimation for this geometry is given and the proposed algorithm can achieve better DoA estimation performance than conventional algorithms.
Journal ArticleDOI
DoA Estimation Using Neural Network-Based Covariance Matrix Reconstruction
TL;DR: In this paper, a neural network-based approach is proposed to estimate the covariance matrix of the full array from the sample covariance matrices of the subarrays using a CNN.
Journal ArticleDOI
A Sparse Representation-Based DOA Estimation Algorithm With Separable Observation Model
TL;DR: In this paper, a new efficient DOA estimation algorithm based on the separable sparse representation (SSR-DOA for short) is derived, in which a separable structure for spatial observation matrix is introduced to reduce the complexity.
Proceedings Article
High resolution sparse estimation of exponentially decaying two-dimensional signals
TL;DR: In this article, the problem of high-resolution estimation of the parameters detailing a two-dimensional (2D) signal consisting of an unknown number of exponentially decaying sinusoidal components is considered.
References
More filters
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.
Related Papers (5)
Two decades of array signal processing research: the parametric approach
Hamid Krim,Mats Viberg +1 more