DOI QR코드

DOI QR Code

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

  • Pan, Weiqiang (Information Network Engineering and Research Center, South China University of Technology) ;
  • Liu, Ping (School of Electronics and Information Engineering, South China University of Technologyr) ;
  • Chen, Fangjiong (School of Electronics and Information Engineering, South China University of Technologyr) ;
  • Ji, Fei (School of Electronics and Information Engineering, South China University of Technologyr) ;
  • Feng, Jing (School of Electronics and Information Engineering, South China University of Technologyr)
  • Published : 2015.03.31

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.

Keywords

References

  1. Eynard, G. and Laot. C., 2008. Blind Doppler compensation scheme for single carrier digital underwater communications. In OCEANS 2008, Quebec City, QC, 15-18 September 2008, pp.1-5.
  2. Hansen, P., Jaumard, B. and Xiong, J., 1994. Cord-slope form of Taylor's expansion in univariate global optimization. Journal of Optimization Theory and Applications, 80(9), pp.441-464 https://doi.org/10.1007/BF02207774
  3. Johnson, M., Freitag, L. and Stojanovic, M., 1997. Improved doppler tracking and correction for underwater acoustic communications. ICASSP '97, Munich, German, 21-24 April 1997, pp.575-578.
  4. Kay, S.M., 1993. Fundamentals of statistical signal processing: estimation theory. NJ: Prentice-Hall.
  5. Kramer, S., 1967. Doppler and acceleration tolerances of high-gain, wideband linear FM correlation sonars. Proceedings of the IEEE, 55(5), pp.627-636.
  6. Kroszczynski, J.J., 1969. pulse compression by means of linear- period modulation. Proceedings of the IEEE, 57(7), pp. 1260-1266.
  7. Li, B., Zhou, S., Stojanovic, M., Freitag, L. and Willett, P., 2008. Multicarrier communication over underwater acoustic channels with nonuniform doppler shifts. IEEE Journal of Oceanic Engineering, 33(10), pp.198-209. https://doi.org/10.1109/JOE.2008.920471
  8. Perrine, K.A., Nieman, K.F., Henderson, T.L., Lent, K.H., Brudner, T.J. and Evans, B.L., 2010. 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, 7-10 November 2010, pp.746-750.
  9. Ratz, D.A, 1999. Nonsmooth global optimization technique using slopes: the one-dimensional case. Journal of Global Optimization, 14(6), pp.365-393. https://doi.org/10.1023/A:1008391326993
  10. Sharif, B.S., Neasham, J., Hinton, O.R. and Adams, A. E., 2000. A computationally efficient Doppler compensation system for underwater acoustic communications. IEEE Journal of Oceanic Engineering, 25(1), pp.52- 61. https://doi.org/10.1109/48.820736
  11. Sibul, L. and Ziomek, L., 1981. Generalized wideband crossambiguity function. IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '81, Atlanta, Georgia, USA, 30 March-01 April 1981, pp.1239-1242.
  12. Wan, L., Wang, Z., Zhou, S., Yang, T.C. and Shi, Z., 2012. Performance comparison of doppler scale estimation methods for underwater acoustic OFDM. Journal of Electrical and Computer Engineering, 2012(1), pp.1-11.
  13. Yang, T., 2003. Underwater telemetry method using doppler compensation. U.S. Pat. 6512720.