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International Journal of Antennas and Propagation
Volume 2012, Article ID 803617, 6 pages
Research Article

Angle of Arrival Estimation Using Cholesky Decomposition

Electrical Engineering Department, University of Ha’il, Ha’il 81451, Saudi Arabia

Received 23 November 2011; Revised 22 February 2012; Accepted 5 March 2012

Academic Editor: Stefano Selleri

Copyright © 2012 Saleh O. Al-Jazzar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An angle of arrival (AOA) estimator is presented. Many applications require accurate AOA estimates such as wireless positioning and signal enhancement using space-processing techniques. The proposed AOA estimator depends on the Cholesky decomposition of the received signal autocorrelation matrix. The resultant decomposed matrices are used to modify the crosscorrelation matrix of the received signals at the antenna array doublets. The proposed method is named the Cholesky-decomposition-based-AOA (CDBA) estimator. In comparison with the TLS-ESPRIT algorithm which utilizes the eigenvalue decomposition (EVD) of the received signal autocorrelation and crosscorrelation matrices, the CDBA method has better performance than the TLS-ESPRIT algorithm especially in low signal-to-noise-ratio (SNR) cases. Simulations for the proposed CDBA method are shown to assess its performance.