Numerical Techniques for the Maximum Likelihood Toeplitz Covariance Matrix Estimation: Part I. Symmetric Toeplitz Matrices

Abstract

Yuri Abramovich*, Victor Abramovich and Tanit Pongsiri

In several applications, one must estimate a real-valued (symmetric) Toeplitz covariance matrix, typically shifted by the conjugated diagonal matrices of phase progression and phase “calibration” errors. Unlike the Hermitian Toeplitz covariance matrices, these symmetric matrices have a unique potential capability of being estimated regardless of these beam steering phase progression and/or phase “calibration” errors. This unique capability is the primary motivation of this paper.

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