Abstract
We propose a novel algorithm to improve the accuracy in estimating the angle-of-arrival (AoA) when the MUSIC (MUltiple SIgnal Classification) algorithm is used. An optimal precoder, with the objective to minimize the estimation errors of the AoAs, is first derived. However, to compute the optimal precoder requires the channel side information at the transmitter (CSIT) exclusive of the receiver array, which cannot be separately estimated practically. A more practical precoder design approach, which leverages on the feedback CSIT estimated at the receiver, is next proposed. We demonstrate that the practical precoder performs closely to the optimal precoder through simulation, and both precoders exhibit considerable performance improvement compared with the AoA estimation without precoder. Furthermore, the precoder technique is applied to a known AoA-based localization method, and the improvement on the accuracy of the location estimate is studied.
Similar content being viewed by others
References
H. L. V. Trees, Detection, Estimation and Modulation Theory Part IV: Optimum Array Processing. Wiley-Interscience, New York, 2002.
H. Krim, and M. Viberg, Two decades of array signal processing research: the parametric approach, IEEE Signal Processing Magazine, Vol. 13, No. 4, pp. 67–94, 1996.
R. Schmidt, Multiple emitter location and signal parameter estimation, IEEE Transactions on Antennas and Propagation, Vol. 34, No. 3, pp. 276–280, 1986.
P. Stoica, and A. Nehorai, MUSIC, maximum likelihood, and Cramer–Rao bound, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 37, No. 5, pp. 720–741, 1989.
A. L. Swindlehurst, and T. Kailath, A performance analysis of subspace-based methods in the presence of model errors, Part I: the MUSIC algorithm, IEEE Transactions on Signal Processing, Vol. 40, No. 7, pp. 1758–1774, 1992.
F. Li, and R. J. Vaccaro, Unified analysis for DOA estimation algorithms in array signal processing, Signal Processing, Vol. 25, pp. 147–169, 1991.
A. Ferreol, P. Larzabal, and M. Viberg, On the asymptotic performance analysis of subspace DOA estimation in the presence of modeling errors: case of MUSIC, IEEE Transactions on Signal Processing, Vol. 54, No. 3, pp. 907–920, 2006.
A. Ferreol, P. Larzabal, and M. Viberg, On the resolution probability of MUSIC in presence of modeling errors, IEEE Transactions on Signal Processing, Vol. 56, No. 5, pp. 1945–1953, 2008.
A. Barabell, Improving the resolution performance of eigenstructure-based direction-finding algorithms, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. 8, pp. 336–339, 1983.
M. Rubsamen, and A. B. Gershman, Direction-of-arrival estimation for nonuniform sensor arrays: from manifold separation to Fourier domain MUSIC methods, IEEE Transactions on Signal Processing, Vol. 57, No. 2, pp. 588–599, 2009.
R. Klukas and M. Fattouche, Line-of-sight angle of arrival estimation in the outdoor multipath environment, IEEE Transactions on Vehicular Technology, Vol. 47, No. 1, pp. 342–351, 1998.
D. Niculescu, and B. Nath, Ad hoc positioning system (APS) using AOA, in Proceedings of IEEE INFOCOM, Vol. 3, pp. 1734–1743, 2003.
D. Niculescu, and B. Nath, VOR base stations for indoor 802.11 positioning, MobiCom’04, pp. 58–69, 2004.
S. F. A. Shah, S. Srirangarajan, and A. H. Tewfik, Implementation of a direction beacon-based position location algorithm in a signal processing framework, IEEE Transactions on Wireless Communications, Vol. 9, No. 3, pp. 1044–1053, 2010.
K. T. Feng, C. L. Chen, and C.H. Chen, GALE: an enhanced geometry-assisted location estimation algorithm for NLOS environments, IEEE Transactions on Mobile Computing, Vol. 7, No. 2, pp. 199–213, 2008.
L. Cong, and W. Zhuang, Hybrid TDOA/AOA mobile user location for wideband CDMA cellular systems, IEEE Transactions on Wireless Communications, Vol. 1, No. 3, pp. 439–447, 2002.
A. Tayebi, J. Gomez, F. M. Saez de Adana, and O. Gutierrez, The application of ray-tracing to mobile localization using the direction of arrival and received signal strength in multipath indoor environments, Progress In Electromagnetics Research, Vol. 91, pp. 1–15, 2009.
H. Miao, K. Yu, and M. J. Juntti, Positioning for NLOS propagation: algorithm derivations and Cramer–Rao bounds, IEEE Transactions on Vehicular Technology, Vol. 56, No. 5, pp. 2568–2580, 2007.
C. K. Seow, and S. Y. Tan, Non-line-of-sight localization in multipath environments, IEEE Transactions on Mobile Computing, Vol. 7, No. 5, pp. 647–660, 2008.
M. Vu, and A. Paulraj, MIMO wireless linear precoding, IEEE Signal Processing Magazine, Vol. 24, No. 5, pp. 86–105, 2007.
T. Cover, and J. Thomas, Elements of Information Theory. Wiley-Interscience, New York, 1991.
E. Visotsky, and U. Madhow, Space–time transmit precoding with imperfect feedback, IEEE Transactions on Information Theory, Vol. 47, No. 6, pp. 2632–2639, 2001.
S. A. Jafar, and A. Goldsmith, Transmitter optimization and optimality of beamforming for multiple antenna systems, IEEE Transactions on Wireless Communications, Vol. 3, No. 4, pp. 1165–1175, 2004.
S. Venkatesan, S. H. Simon, and R. A. Valenzuela, Capacity of a Gaussian MIMO channel with nonzero mean, Proceedings of the IEEE Vehicular Technology Conference, Vol. 3, pp. 1767–1771, 2003.
S. A. Jafar, S. Vishwanath, and A. Goldsmith, Channel capacity and beamforming for multiple transmit and receive antennas with covariance feedback. In Proceedings of the IEEE International Conference on Communications, Vol. 7, pp. 2266–2270, 2001.
M. Vu, and A. Paulraj, On the capacity of MIMO wireless channels with dynamic CSIT, IEEE Journal on Selected Areas in Communications, Vol. 25, No. 7, pp. 1269–1283, 2007.
A. W. Marshall, and I. Olkin, Inequalities: Theory of Majorization and its Applications. Academic Press, New York, 1979.
G. Carter, Coherence and Time Delay Estimation. IEEE Press, Piscataway, 1993.
A. L. Swindlehurst, Time delay and spatial signature estimation using known asynchronous signals, IEEE Transactions on Signal Processing, Vol. 46, No. 2, pp. 449–462, 1998.
H. Miao, and M. J. Juntti, Space–time channel estimation and performance analysis for wireless MIMO-OFDM systems with spatial correlation, IEEE Transactions on Vehicular Technology, Vol. 54, No. 6, pp. 2003–2016, 2005.
Acknowledgments
This work is supported by the National Research Funding Grant NRF2007IDM-IDM002-069 on Life Spaces (POEM) from the IDM Project Office, Media Development Authority of Singapore.
Author information
Authors and Affiliations
Corresponding author
Additional information
This work was partially presented at the IEEE International Symposium on Personal, Indoor, Mobile and Radio Communications held at Toronto, Canada, in September 2011.
Rights and permissions
About this article
Cite this article
Zhang, L., Chew, Y.H. & Wong, WC. Enhanced AoA Estimation and Localization Through Transmitter Precoder Design. Int J Wireless Inf Networks 19, 315–325 (2012). https://doi.org/10.1007/s10776-012-0186-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10776-012-0186-0