Shafuda, FMcDonald, Andre MVan Wyk, MAVersfeld, J2021-02-122021-02-122019-11Shafuda, F., McDonald, A.M., Van Wyk, M. & Versfeld, J. 2019. Algebraic analysis of Toeplitz decorrelation techniques for direction-of-arrival estimation. http://hdl.handle.net/10204/11752 .978-1-7281-3055-22159-2160DOI: 10.1109/PrimeAsia47521.2019.8950745https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8950745http://hdl.handle.net/10204/11752In this paper, we investigate the correlation Toeplitz (CTOP) and averaging Toeplitz (AVTOP) decorrelation techniques, as applied towards direction of arrival (DOA) estimation of coherent narrowband sources with the multiple signals classi cation (MUSIC) algorithm. Numerical studies suggest that CTOP leads towards more accurate DOA estimation than AVTOP; however, no theoretical motivation for this performance gap has yet been presented. In this paper, we derive expressions for the Toeplitz matrices produced by the CTOP and AVTOP techniques, for a scenario involving a three-element uniform linear array and two coherent source signals in additive white Gaussian noise. These expressions lead to the claim that the accuracy of the CTOP technique can be attributed to its retention of source DOA information as independent sums (i.e. in a superposition form) in the Toeplitz matrix. The claim is supported by an investigation of the MUSIC spectra corresponding to the distinct Toeplitz matrices.AbstractenToeplitz decorrelationMultiple signal classificationDirection of arrival estimationAngle of arrival estimationConference PresentationShafuda, F., McDonald, A. M., Van Wyk, M., & Versfeld, J. (2019). Algebraic analysis of Toeplitz decorrelation techniques for direction-of-arrival estimation. http://hdl.handle.net/10204/11752Shafuda, F, Andre Martin McDonald, MA Van Wyk, and J Versfeld. "Algebraic analysis of Toeplitz decorrelation techniques for direction-of-arrival estimation." <i>Institute of Electrical and Electronics Engineers (IEEE) Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, Bangkok, Thailand, 11-14 November 2019</i> (2019): http://hdl.handle.net/10204/11752Shafuda F, McDonald AM, Van Wyk M, Versfeld J, Algebraic analysis of Toeplitz decorrelation techniques for direction-of-arrival estimation; 2019. http://hdl.handle.net/10204/11752 .TY - Conference Presentation AU - Shafuda, F AU - McDonald, Andre Martin AU - Van Wyk, MA AU - Versfeld, J AB - In this paper, we investigate the correlation Toeplitz (CTOP) and averaging Toeplitz (AVTOP) decorrelation techniques, as applied towards direction of arrival (DOA) estimation of coherent narrowband sources with the multiple signals classi cation (MUSIC) algorithm. Numerical studies suggest that CTOP leads towards more accurate DOA estimation than AVTOP; however, no theoretical motivation for this performance gap has yet been presented. In this paper, we derive expressions for the Toeplitz matrices produced by the CTOP and AVTOP techniques, for a scenario involving a three-element uniform linear array and two coherent source signals in additive white Gaussian noise. These expressions lead to the claim that the accuracy of the CTOP technique can be attributed to its retention of source DOA information as independent sums (i.e. in a superposition form) in the Toeplitz matrix. The claim is supported by an investigation of the MUSIC spectra corresponding to the distinct Toeplitz matrices. DA - 2019-11 DB - ResearchSpace DP - CSIR J1 - Institute of Electrical and Electronics Engineers (IEEE) Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics, Bangkok, Thailand, 11-14 November 2019 KW - Toeplitz decorrelation KW - Multiple signal classification KW - Direction of arrival estimation KW - Angle of arrival estimation LK - https://researchspace.csir.co.za PY - 2019 SM - 978-1-7281-3055-2 SM - 2159-2160 T1 - Algebraic analysis of Toeplitz decorrelation techniques for direction-of-arrival estimation TI - Algebraic analysis of Toeplitz decorrelation techniques for direction-of-arrival estimation UR - http://hdl.handle.net/10204/11752 ER -23079