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LCMV Beamforming for a Novel Wireless Local Positioning System: Nonstationarity and Cyclostationarity Analysis

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 098243 (2007) Cite this article

Abstract

This paper investigates the implementation of a novel wireless local positioning system (WLPS). WLPS main components are: (a) a dynamic base station (DBS) and (b) a transponder, both mounted on mobiles. The DBS periodically transmits ID request signals. As soon as the transponder detects the ID request signal, it sends its ID (a signal with a limited duration) back to the DBS. Hence, the DBS receives noncontinuous signals periodically transmitted by the transponder. The noncontinuous nature of the WLPS leads to nonstationary received signals at the DBS receiver, while the periodic signal structure leads to the fact that the DBS received signal is also cyclostationary. This work discusses the implementation of linear constrained minimum variance (LCMV) beamforming at the DBS receiver. We demonstrate that the nonstationarity of the received signal causes the sample covariance to be an inaccurate estimate of the true signal covariance. The errors in this covariance estimate limit the applicability of LCMV beamforming. A modified covariance matrix estimator, which exploits the cyclostationarity property of WLPS system is introduced to solve the nonstationarity problem. The cyclostationarity property is discussed in detail theoretically and via simulations. It is shown that the modified covariance matrix estimator significantly improves the DBS performance. The proposed technique can be applied to periodic-sense signaling structures such as the WLPS, RFID, and reactive sensor networks.

References

  1. Tong H, Zekavat SA: LCMV beamforming for a novel wireless local positioning system: a stationarity analysis. Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security and Homeland Defense IV, March-April 2005, Orlando, Fla, USA, Proceedings of SPIE 5778: 851–862.

    Google Scholar 

  2. Stoica P, Nehorai A: MUSIC, maximum likelihood, and Cramer-Rao bound. IEEE Transactions on Acoustics, Speech, and Signal Processing 1989,37(5):720-741. 10.1109/29.17564

    Article  MathSciNet  Google Scholar 

  3. Hellebrandt M, Mathar R, Scheibenbogen M: Estimating position and velocity of mobiles in a cellular radio network. IEEE Transactions on Vehicular Technology 1997,46(1):65-71. 10.1109/25.554738

    Article  Google Scholar 

  4. Juels A: RFID security and privacy: a research survey. IEEE Journal on Selected Areas in Communications 2006,24(2):381–394.

    Article  MathSciNet  Google Scholar 

  5. Pourrostam J, Zekavat SA, Tong H: Novel direction-of-arrival estimation techniques for periodic-sense local positioning systems. Proceedings of the IEEE Radar Conference (RADAR '07), April 2007, Waltham, Mass, USA

    Google Scholar 

  6. Wang Z, Zekavat SA: Manet localization via multi-node TOA-DOA optimal fusion. Proceedings of the Military Communications Conference (MILCOM '06), October 2006, Washington, DC, USA 1–7.

    Google Scholar 

  7. Tong H, Zekavat SA: A novel wireless local positioning system via a merger of DS-CDMA and beamforming: probability-of-detection performance analysis under array perturbations. IEEE Transactions on Vehicular Technology 2007,56(3):1307-1320.

    Article  Google Scholar 

  8. Frost OL: An algorithm for linearly constrained adaptive array processing. Proceedings of the IEEE 1972,60(8):926-935.

    Article  Google Scholar 

  9. Carlson BD: Covariance matrix estimation errors and diagonal loading in adaptive arrays. IEEE Transactions on Aerospace and Electronic Systems 1988,24(4):397-401. 10.1109/7.7181

    Article  Google Scholar 

  10. Capon J: High resolution frequency-wavenumber spectrum analysis. Proceedings of the IEEE 1969,57(8):1408-1418.

    Article  Google Scholar 

  11. Gardner WA, Napolitano A, Paura L: Cyclostationarity: half a century of research. Signal Processing 2006,86(4):639-697. 10.1016/j.sigpro.2005.06.016

    Article  Google Scholar 

  12. Wu Q, Wong KM: Blind adaptive beamforming for cyclostationary signals. IEEE Transactions on Signal Processing 1996,44(11):2757-2767. 10.1109/78.542182

    Article  Google Scholar 

  13. Lee J-H, Lee Y-T: Robust adaptive array beamforming for cyclostationary signals under cycle frequency error. IEEE Transactions on Antennas and Propagation 1999,47(2):233-241. 10.1109/8.761062

    Article  Google Scholar 

  14. Godara LC: Application of antenna arrays to mobile communications—part II: beam-forming and direction-of-arrival considerations. Proceedings of the IEEE 1997,85(8):1195-1245. 10.1109/5.622504

    Article  Google Scholar 

  15. Hyvarinen A, Karhunen J, Oja E: Independent Component Analysis. John Wiley & Sons, New York, NY, USA; 2001.

    Book  Google Scholar 

  16. Stoica P, Moses RL: Introduction to Spectral Analysis. Prentice-Hall, Upper Saddle River, NJ, USA; 1997.

    MATH  Google Scholar 

  17. Stoica P, Wang Z, Li J: Robust Capon beamforming. IEEE Signal Processing Letters 2003,10(6):172-175. 10.1109/LSP.2003.811637

    Article  Google Scholar 

  18. Xia P, Giannakis GB: Design and analysis of transmit-beamforming based on limited-rate feedback. IEEE Transactions on Signal Processing 2006,54(5):1853-1863.

    Article  Google Scholar 

  19. Lorenz RG, Boyd SP: Robust minimum variance beamforming. IEEE Transactions on Signal Processing 2005,53(5):1684-1696.

    Article  MathSciNet  Google Scholar 

  20. Vorobyov SA, Gershman AB, Luo Z-Q, Ma N: Adaptive beamforming with joint robustness against mismatched signal steering vector and interference nonstationarity. IEEE Signal Processing Letters 2004,11(2, part 1):108-111. 10.1109/LSP.2003.819857

    Article  Google Scholar 

  21. Rappaport TS: Wireless Communications: Principles and Practice. 2nd edition. Prentice-Hall, Upper Saddle River, NJ, USA; 2002.

    MATH  Google Scholar 

  22. Arowojolu AA, Turkmani AMD, Parsons JD: Time dispersion measurements in urban microcellular environments. Proceedigs of the 44th IEEE Vehicular Technology Conference (VTC '94), June 1994, Stockholm, Sweden 1: 150–154.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Michigan Technological University, 1400 Townsend Drive, Houghton, MI, 49931, USA

    Hui Tong, Jafar Pourrostam & Seyed A. Zekavat

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  1. Hui Tong
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  2. Jafar Pourrostam
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  3. Seyed A. Zekavat
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Correspondence to Hui Tong.

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Tong, H., Pourrostam, J. & Zekavat, S.A. LCMV Beamforming for a Novel Wireless Local Positioning System: Nonstationarity and Cyclostationarity Analysis. EURASIP J. Adv. Signal Process. 2007, 098243 (2007). https://doi.org/10.1155/2007/98243

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