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Multipath Delay Estimation for Frequency Hopping Systems

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Signal Processing for Wireless Communication Systems

Abstract

The multipath delay estimation problem for a slow frequency hopping system is studied. High resolution delay estimation algorithms are proposed by exploiting invariance structures in the data packet. The proposed approach converts the problem of delay estimation using temporally received packets to one of estimating directions-of-arrival in array processing. Two closed-form estimators are developed. The first algorithm is based on the use of a single invariance and applies the ESPRIT algorithm. The second approach utilizes multiple invariances, and enforces the Cayley-Hamilton constraint in the signal subspace. It is shown, via an analysis of acquisition time, that the use of multiple invariances significantly shortens the number of hops required for parameter identifiability. Simulation examples also demonstrate the advantage of exploiting multiple invariances.

This work was supported in part by the Army Research Office under Grant ARO-DAAB19-00-1-0507 and the Multidisciplinary University Research Initiative (MURI) under the Office of Naval Research Contract N00014-00-1-0564.

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References

  1. R.L. Pickholtz, D.L. Schilling, and L.B. Milstein, “Theory of Spread Spectrum Communication—A Tutorial,” IEEE Trans. Commun., vol. COM-30, 1982, pp. 855–884.

    Google Scholar 

  2. M.K. Simon, J.K. Omura, R.A. Scholtz, and B.K. Levitt, Spread Spectrum Communication Handbook, New York: McGraw-Hill, 1994, revised edition.

    Google Scholar 

  3. Y.A. Chau and J.-K. Wang, “Spectral Estimation Based Acquisition for Frequency Hopping Spread Spectrum Communications in a Nonfading or Rayleigh Fading Channel,” IEEE Trans. Communications, vol. 45, no. 4, April 1997, pp. 445–455.

    Article  Google Scholar 

  4. P.-T. Sun and C.-Y. Chu, “Hidden Preamble Detector for Acquisition of Frequency Hopping Multiple-Access Communication System,” IEE Proceedings-Communications, vol. 144, no. 3, June 1997, pp. 161–165.

    Google Scholar 

  5. L. Aydm and A. Polydoros, “Joint Hop-Timing Estimation for FH Signals Using a Coarsely Channelized Receiver,” in Proc. MILCOM 95, San Diego, CA, Nov. 1995, pp. 769–773.

    Google Scholar 

  6. P.H. Hande, L. Tong, and A. Swami, “Channel Estimation for Frequency Hopping Systems,” in MILCOM 99, Nov. 1999, vol. 2, pp. 1323–1327.

    Google Scholar 

  7. R. Roy, A. Paulraj, and T. Kailath, “ESPRIT—A Subspace Rotation Approach to Estimation of Parameters of Cisoids in Noise,” IEEE Trans. Acoust. Speech, Signal Proc., vol. ASSP-34, no. 10, Oct. 1986, pp. 1340–1342.

    Google Scholar 

  8. A.L. Swindlehurst, B. Ottersten, R. Roy, and T. Kailath, “Multiple Invariance ESPRIT,” IEEE Trans, on Signal Processing, vol. 40, no. 4, April 1992, pp. 867–881.

    Article  Google Scholar 

  9. P.H. Hande and L. Tong, “Signal Parameter Estimation via the Cayley-Hamilton Theorem,” IEEE Signal Processing Letters, April 2001, to appear.

    Google Scholar 

  10. P.H. Hande, L. Tong, and A. Swami, “Channel Estimation for Frequency Hopping Systems Via Multiple Invariances,” in Proc. IEEE Wireless Comm. and Networking Conf., Sept. 2000.

    Google Scholar 

  11. P.O. Rasky, G.M. Chiasson, D.E. Borth, and R.L. Peterson, “Slow Frequency-HopTDMA/CDMA for Macrocellular Personal Communications,” IEEE Personal Communications, vol. 1, 2nd quarter, 1994, pp. 26–35.

    Article  Google Scholar 

  12. Bluetooth Special Interest Group, “The Bluetooth Specification,” http://www.bluetooth.com.

  13. J.C. Haartsen, “The Bluetooth RadioSystem,” IEEE Personal Communications, vol. 7, Feb. 2000, pp. 28–36.

    Article  Google Scholar 

  14. Lang Tong and S. Perreau, “Multichannel Blind Identification: From Subspace to Maximum Likelihood Methods,” Proceedings of the IEEE, vol. 86, Oct. 1998, 1951–1968.

    Google Scholar 

  15. A. Paulraj, R. Roy, and T. Kailath, “Estimation Of Signal Parameters Via Rotational Invariance Techniques-ESPRIT,” Asilomar Conference on Circuits, Systems and Computers, Nov. 1985, pp. 83–89.

    Google Scholar 

  16. R. Roy and T. Kailath, “ESPRIT—Estimation of Signal Parameters Via Rotational Invariance Techniques,” IEEE Trans. Acoust. Speech, Signal Proc., vol. ASSP-37, no. 7, July 1989, pp. 984–995.

    Google Scholar 

  17. B. Ottersten, M. Viberg, and T. Kailath, “Performance Analysis of the Total Least Squares ESPRIT Algorithm,” IEEE Trans, on Signal Processing, vol. SP-39, May 1991, pp. 1122–1135.

    Google Scholar 

  18. G.H. Golub and C.F. Van Loan, Matrix Computations, Baltimore, MD: Johns Hopkins University Press, 1983.

    Google Scholar 

  19. K.T. Wong and M.D. Zoltowski, “Closed-Form Multi-Dimensional Multi-Invariance ESPRIT,” in IEEE International Conference on Acoustics, Speech, and Signal Processing, 1997, ICASSP-97, vol. 5, pp. 3489–3492.

    Google Scholar 

  20. P. Lancaster and M. Tismenetsky, The Theory of Matrices, Academic Press, 1985.

    Google Scholar 

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© 2002 Kluwer Academic Publishers

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Hande, P., Tong, L., Swami, A. (2002). Multipath Delay Estimation for Frequency Hopping Systems. In: Poor, H.V., Tong, L. (eds) Signal Processing for Wireless Communication Systems. Information Technology: Transmission, Processing and Storage. Springer, Boston, MA. https://doi.org/10.1007/0-306-47322-4_11

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  • DOI: https://doi.org/10.1007/0-306-47322-4_11

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  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-7691-0

  • Online ISBN: 978-0-306-47322-7

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