McDonald, Andre MVan Wyk, MN2020-10-052020-10-052019-11McDonald, A.M. and Van Wyk, M.N. 2019. A condition for unbiased direction-of-arrival estimation with Toeplitz decorrelation techniques. Institute of Electrical and Electronics Engineers (IEEE) 15th Annual Asia Pacific Conference on Circuits and Systems (APCCAS), Bangkok, Thailand, 11-14 November 2019, 4pp.978-1-7281-3055-2978-1-7281-3054-5https://ieeexplore.ieee.org/document/8950749DOI:10.1109/PrimeAsia47521.2019.8950749http://hdl.handle.net/10204/11593Copyright: 2019 IEEE. This is the accepted version of the published item.Toeplitz decorrelation techniques, as applied towards direction-of-arrival estimation of coherent narrowband signals using a sensor array, significantly improve the accuracy of subspace methods without reducing the effective array aperture. The novel contribution of this paper is a necessary and sufficient condition that any jointly Toeplitz and Hermitian matrix produced by these techniques must satisfy in order to facilitate unbiased estimation via a subspace method. The condition is derived for a uniform linear array and additive white Gaussian noise model. The row-selection and diagonal-averaging strategies for generating Toeplitz matrices are evaluated against the condition, for the case where all sources are coherent. It is proved that row selection accommodates unbiased estimation if and only if the first row of the deficient covariance matrix is selected, whereas diagonal averaging invariably leads to bias.enAngle of arrival estimationCoherent sourcesCorrelated sourcesDirection of arrival estimationMultiple signal classificationMUSICSpectral estimationToeplitz decorrelationConference PresentationMcDonald, A. M., & Van Wyk, M. (2019). A condition for unbiased direction-of-arrival estimation with Toeplitz decorrelation techniques. IEEE. http://hdl.handle.net/10204/11593McDonald, Andre M, and MN Van Wyk. "A condition for unbiased direction-of-arrival estimation with Toeplitz decorrelation techniques." (2019): http://hdl.handle.net/10204/11593McDonald AM, Van Wyk M, A condition for unbiased direction-of-arrival estimation with Toeplitz decorrelation techniques; IEEE; 2019. http://hdl.handle.net/10204/11593 .TY - Conference Presentation AU - McDonald, Andre M AU - Van Wyk, MN AB - Toeplitz decorrelation techniques, as applied towards direction-of-arrival estimation of coherent narrowband signals using a sensor array, significantly improve the accuracy of subspace methods without reducing the effective array aperture. The novel contribution of this paper is a necessary and sufficient condition that any jointly Toeplitz and Hermitian matrix produced by these techniques must satisfy in order to facilitate unbiased estimation via a subspace method. The condition is derived for a uniform linear array and additive white Gaussian noise model. The row-selection and diagonal-averaging strategies for generating Toeplitz matrices are evaluated against the condition, for the case where all sources are coherent. It is proved that row selection accommodates unbiased estimation if and only if the first row of the deficient covariance matrix is selected, whereas diagonal averaging invariably leads to bias. DA - 2019-11 DB - ResearchSpace DP - CSIR KW - Angle of arrival estimation KW - Coherent sources KW - Correlated sources KW - Direction of arrival estimation KW - Multiple signal classification KW - MUSIC KW - Spectral estimation KW - Toeplitz decorrelation LK - https://researchspace.csir.co.za PY - 2019 SM - 978-1-7281-3055-2 SM - 978-1-7281-3054-5 T1 - A condition for unbiased direction-of-arrival estimation with Toeplitz decorrelation techniques TI - A condition for unbiased direction-of-arrival estimation with Toeplitz decorrelation techniques UR - http://hdl.handle.net/10204/11593 ER -