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Doppler-shift estimation of flat underwater channel using data-aided least-square approach

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초록

In this paper we proposed a dada-aided Doppler estimation method for underwater acoustic communication. The training sequence is non-dedicate, hence it can be designed for Doppler estimation as well as channel equalization. We assume the channel has been equalized and consider only flat-fading channel. First, based on the training symbols the theoretical received sequence is composed. Next the least square principle is applied to build the objective function, which minimizes the error between the composed and the actual received signal. Then an iterative approach is applied to solve the least square problem. The proposed approach involves an outer loop and inner loop, which resolve the channel gain and Doppler coefficient, respectively. The theoretical performance bound, i.e. the Cramer-Rao Lower Bound (CRLB) of estimation is also derived. Computer simulations results show that the proposed algorithm achieves the CRLB in medium to high SNR cases.

Abstract

In this paper we proposed a dada-aided Doppler estimation method for underwater acoustic communication. The training sequence is non-dedicate, hence it can be designed for Doppler estimation as well as channel equalization. We assume the channel has been equalized and consider only flat-fading channel. First, based on the training symbols the theoretical received sequence is composed. Next the least square principle is applied to build the objective function, which minimizes the error between the composed and the actual received signal. Then an iterative approach is applied to solve the least square problem. The proposed approach involves an outer loop and inner loop, which resolve the channel gain and Doppler coefficient, respectively. The theoretical performance bound, i.e. the Cramer-Rao Lower Bound (CRLB) of estimation is also derived. Computer simulations results show that the proposed algorithm achieves the CRLB in medium to high SNR cases.

참고문헌 (13)

  1. Eynard, G., "Blind Doppler compensation scheme for single carrier digital underwater communications", In OCEANS 2008, Quebec City, QC, 2008, pp.1~5 (2008)
  2. Hansen, P., "Cord-slope form of Taylor's expansion in univariate global optimization", Journal of Optimization Theory and Applications, 80(9), pp.441~464 (1994)
  3. Johnson, M., "Improved doppler tracking and correction for underwater acoustic communication", ICASSP ’97, Munich, German, 1997, pp.575~578 (1997)
  4. Kay, S. M., "Fundamentals of statistical signal processing : estimation theory" (1993), Prentice-Hall
  5. Kramer, S., "Doppler and acceleration tolerances of high-gain, wideband linear FM correlation sonars", Proceedings of the IEEE, 55(5), pp.627~636 (1967)
  6. Kroszczynski, J. J., "pulse compression by means of linear-period modulation", Proceedings of the IEEE, 57(7), pp.1260~1266 (1969)
  7. Li, B., "Multicarrier communication over underwater acoustic channels with nonuniform doppler shifts", IEEE Journal of Oceanic Engineering, 33(10), pp.198~209 (2008)
  8. Perrine, K. A., "Doppler estimation and correction for shallow underwater acoustic communications", 2010 Conference Record of the Forty Fourth Asilomar Conference on in Signals, Systems and Computers, Pacific Grove, CA, pp.746~750 (2010)
  9. Ratz, D. A, "Nonsmooth global optimization technique using slopes : the one-dimensional case", Journal of Global Optimization, 14(6), pp.365~393 (1999)
  10. Sharif, B. S., "A computationally efficient Doppler compensation system for underwater acoustic communications", IEEE Journal of Oceanic Engineering, 25(1), pp.52~61 (2000)
  11. Sibul, L., "Generalized wideband crossambiguity function", IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '81, Atlanta, Georgia, USA, pp.1239~1242 (1981)
  12. Wan, L., "Performance comparison of doppler scale estimation methods for underwater acoustic OFDM", Journal of Electrical and Computer Engineering, 2012(1), pp.1~11 (2012)
  13. Yang, T., "Underwater telemetry method using doppler compensation", U.S. Pat. 6512720, ~ (2003)

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