Broadband angle of arrival estimation methods in a polynomial matrix decomposition framework

A large family of broadband angle of arrival estimation algorithms are based on the coherent signal subspace (CSS) method, whereby focussing matrices appropriately align covariance matrices across narrowband frequency bins. In this paper, we analyse an auto-focussing approach in the framework of polynomial covariance matrix decompositions, leading to comparisons to two recently proposed polynomial multiple signal classification (MUSIC) algorithms. The analysis is complemented with numerical simulations.

[1]  Anthony J. Weiss,et al.  Coherent wide-band processing for arbitrary array geometry , 1993, IEEE Transactions on Signal Processing.

[2]  P. P. Vaidyanathan,et al.  A novel autofocusing approach for estimating directions-of-arrival of wideband signals , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[3]  Stephan D. Weiss,et al.  An extension of the MUSIC algorithm to broadband scenarios using a polynomial eigenvalue decomposition , 2011, 2011 19th European Signal Processing Conference.

[4]  Anthony J. Weiss,et al.  On focusing matrices for wide-band array processing , 1992, IEEE Trans. Signal Process..

[5]  Hong Wang,et al.  Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  Hong Wang,et al.  On the performance of signal-subspace processing-Part II: Coherent wide-band systems , 1987, IEEE Trans. Acoust. Speech Signal Process..

[7]  Mostafa Kaveh,et al.  Focussing matrices for coherent signal-subspace processing , 1988, IEEE Trans. Acoust. Speech Signal Process..

[8]  Pierre Comon,et al.  Some Properties of Laurent Polynomial Matrices , 2012 .

[9]  John G. McWhirter,et al.  An EVD Algorithm for Para-Hermitian Polynomial Matrices , 2007, IEEE Transactions on Signal Processing.

[10]  Jesus Selva,et al.  An Efficient Structure for the Design of Variable Fractional Delay Filters Based on the Windowing Method , 2008, IEEE Transactions on Signal Processing.