SVD-based joint azimuth/elevation estimation with automatic pairing.

*(English)*Zbl 1194.94050Summary: A joint azimuth/elevation estimator with automatic pairing is developed. Two-dimensional (2-D) angle of arrival (AOA) estimation is useful in space processing systems and wireless location systems that employ AOA technology. The estimator makes use of a special setup of the received signal at an \(L\)-shaped antenna array element organized especially for the estimation process. The estimator is based on applying the singular value decomposition (SVD) algorithm to a cross-correlation matrix that is constructed from both arrays of the \(L\)-shaped structure. The proposed method avoids the computational burden of the complex pair-matching procedure. Simulations of the proposed method are shown to assess its performance.

##### MSC:

94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |

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\textit{S. O. Al-Jazzar} et al., Signal Process. 90, No. 5, 1669--1675 (2010; Zbl 1194.94050)

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[1] | N. Hew, N. Zein, Space–time estimation techniques for UTRA system, in: IEE Colloquium on Capacity and Range Enhancement Techniques for the Third Generation Mobile Communications and Beyond (Ref. no. 2000/003), February 2000, pp. 6/1–6/7. |

[2] | Y.-F. Chen, M. Zoltowski, Joint angle and delay estimation for DSCDMA with application to reduced dimension space–time RAKE receivers, in: 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1999, ICASSP’99, Proceedings, vol. 5, March 1999, pp. 2933–2936. |

[3] | Al-Jazzar, S.; Ghogho, M.; Mclernon, D.: A joint toa/aoa constrained minimization method for locating wireless devices in non-line-of-sight environment, IEEE transactions on vehicular technology 59, 468-472 (January 2009) |

[4] | P. Deng, P. Fan, An AOA assisted TOA positioning system, in: International Conference on Communication Technology Proceedings, 2000, WCC-ICCT 2000, vol. 2, August 2000, pp. 1501–1504. |

[5] | Kikuchi, S.; Tsuji, H.; Sano, A.: Pair-matching method for estimating 2-d angle of arrival with a cross-correlation matrix, IEEE antennas and wireless propagation letters 5, 35-40 (2006) |

[6] | Hua, Y.; Sarkar, T. K.; Weiner, D. D.: An l-shaped array for estimating 2-d directions of wave arrival, IEEE transactions on antennas and propagation 39, 143-146 (February 1991) |

[7] | Tayem, N.; Kwon, H. M.: L-shape 2-dimensional arrival angle estimation with propagator method, IEEE transactions on antennas and propagation 53, 1622-1630 (May 2005) |

[8] | Roy, R.; Kailath, T.: ESPRIT estimation of signal parameters via rotational invariance techniques, Optical engineering 29, 296-313 (April 1990) · Zbl 0701.93090 |

[9] | Haardt, M.; Nossek, J. A.: Unitary esprit: how to obtain increased estimation accuracy with a reduced computational burden, IEEE transactions on signal processing 43, 1232-1242 (May 1995) |

[10] | Xia, T.; Zheng, Y.; Wan, Q.; Wang, X.: Decoupled estimation of 2-D angles of arrival using two parallel uniform linear arrays, IEEE transactions on antennas and propagation 55, 2627-2632 (September 2007) |

[11] | Wu, Y.; Liao, G.; So, H. C.: A fast algorithm for 2-D direction-of-arrival estimation, Signal processing 83, 1827-1831 (2003) · Zbl 1144.94364 |

[12] | Swindlehurst, A.; Kailath, T.: Azimuth/elevation direction finding using regular array geometries, IEEE transactions on aerospace and electronic systems 29, 1828-1832 (January 1993) |

[13] | Zoltowski, M.; Haardt, M.; Mathews, C. P.: Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via unitary esprit, IEEE transactions on signal processing 44, 316-328 (February 1996) |

[14] | Del Ro, J. E. F.; Ctedra-Prez, M. F.: The matrix pencil method for two-dimensional direction of arrival estimation employing an l-shaped array, IEEE transactions on antennas and propagation 45, 1693-1694 (November 1997) |

[15] | Liu, T. H.; Mendel, J. M.: Azimuth and elevation direction finding using arbitrary array geometries, IEEE transactions on signal processing 46, 2061-2065 (July 1998) |

[16] | G. Lu, W. Ping, G. Jianfeng, Automatic pair-matching method for estimating 2-D angle of arrival, in: International Conference on Communications, Circuits and Systems, 2008, May 2008, pp. 914–917. |

[17] | L. Luo, J.-F. Gu, Two-dimensional DOA estimation by cross-correlation submatrix, in: 11th IEEE Singapore International Conference on Communication Systems, 2008, ICCS 2008, November 2008, pp. 514–518. |

[18] | Y. Han, J. Wang, Q. Zhao, X. Song, L-shape 2-D DOA estimation with second-order statistics for coherently distributed source, in: 4th International Conference on Wireless Communications, Networking and Mobile Computing, 2008, WiCOM ’08, October 2008, p. 14. |

[19] | Bai, L.; Peng, C. -Y.; Biswas, S.: Association of DOA estimation from two ulas, IEEE transactions on instrumentation and measurement 57, 1094-1101 (June 2008) |

[20] | C. Jian, S. Wang, L. Lin, 2-D DOA estimation by minimum-redundancy linear array, in: The 8th International Conference on Signal Processing, 2006. |

[21] | Gan, L.; Gu, J. -F.; Wei, P.: Estimation of 2-D DOA for noncircular sources using simultaneous SVD technique, IEEE antennas and wireless propagation letters 7, 385-388 (2008) |

[22] | Gu, J. -F.; Wei, P.: Joint SVD of two cross-correlation matrices to achieve automatic pairing in 2D angle estimation problems, IEEE antennas and wireless propagation letters 6, 553-556 (2007) |

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