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

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.

[1]  Yurii Nesterov,et al.  Interior-point polynomial algorithms in convex programming , 1994, Siam studies in applied mathematics.

[2]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[3]  Björn E. Ottersten,et al.  Covariance Matching Estimation Techniques for Array Signal Processing Applications , 1998, Digit. Signal Process..

[4]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

[5]  Dmitry M. Malioutov,et al.  A sparse signal reconstruction perspective for source localization with sensor arrays , 2005, IEEE Transactions on Signal Processing.

[6]  Petre Stoica,et al.  Spectral Analysis of Signals , 2009 .

[7]  Yaming Yu Monotonic convergence of a general algorithm for computing optimal designs , 2009, 0905.2646.

[8]  Arian Maleki,et al.  Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing , 2009, IEEE Journal of Selected Topics in Signal Processing.

[9]  Jian Li,et al.  Source Localization and Sensing: A Nonparametric Iterative Adaptive Approach Based on Weighted Least Squares , 2010, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Jian Li,et al.  New Method of Sparse Parameter Estimation in Separable Models and Its Use for Spectral Analysis of Irregularly Sampled Data , 2011, IEEE Transactions on Signal Processing.

[11]  Biao Huang,et al.  System Identification , 2000, Control Theory for Physicists.

[12]  Lisa Turner,et al.  Applications of Second Order Cone Programming , 2012 .