×

zbMATH — the first resource for mathematics

SVD-based joint azimuth/elevation estimation with automatic pairing. (English) Zbl 1194.94050
Summary: 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.)
PDF BibTeX Cite
Full Text: DOI
References:
[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)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.