Numerical Techniques for the Maximum Likelihood Toeplitz Covariance Matrix Estimation: Part I. Symmetric Toeplitz Matrices
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913922169176064 |
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| author | Abramovich, Yuri Abramovich, Victor Pongsiri, Tanit |
| author_facet | Abramovich, Yuri Abramovich, Victor Pongsiri, Tanit |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_01230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical Techniques for the Maximum Likelihood Toeplitz Covariance Matrix Estimation: Part I. Symmetric Toeplitz Matrices Abramovich, Yuri Abramovich, Victor Pongsiri, Tanit Signal Processing Information Theory 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. |
| title | Numerical Techniques for the Maximum Likelihood Toeplitz Covariance Matrix Estimation: Part I. Symmetric Toeplitz Matrices |
| topic | Signal Processing Information Theory |
| url | https://arxiv.org/abs/2507.01230 |