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Signal Estimation Using Covariance Matrix of Mutual Coupling and Mean Square Error

  • Received : 2016.12.11
  • Accepted : 2016.12.25
  • Published : 2018.12.29

Abstract

We propose an algorithm to update weight to use the mean square error method and mutual coupling matrix in a coherent channel. The algorithm proposed in this paper estimates the desired signal by using the updated weight. The updated weight is obtained by covariance matrix using mean square error and mutual coupling matrix. The MUSIC algorithm, which is direction of arrival estimation method, is mostly used in the desired signal estimation. The MUSIC algorithm has a good resolution because it uses subspace techniques. The proposed method estimates the desired signal by updating the weights using the mutual coupling matrix and mean square error method. Through simulation, we analyze the performance by comparing the classical MUSIC and the proposed algorithm in a coherent channel. In this case of the coherent channel for estimating at the three targets (-10o, 0o, 10o), the proposed algorithm estimates all the three targets (-10o, 0o, 10o). But the classical MUSIC algorithm estimates only one target (x, x, 10o). The simulation results indicate that the proposed method is superior to the classical MUSIC algorithm for desired signal estimation.

Keywords

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Fig. 1. Block diagram of the adaptive array system

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Fig. 2. Desired signals estimation by classical M USIC algorithm in non-coherent channel

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Fig. 3. Desired signals estimation by classical M USIC algorithm in coherent channel

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Fig. 4. Desired signals estimation by the propose d algorithm in coherent channel

Table 1. Simulation conditions

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References

  1. Harry L.Van Trees, "Optimum Array Processing", Wiley, Feb, 2002.
  2. S. Unnikrishna Pillai, " Array Signal Processing", Springer-Verlag, 1989.
  3. Frank B. Gross,"Smart Antenna for Wireless Communication with Matlab", McGraw Hill, 2005.
  4. A.J.Haug and G.M.Jacyna, "Theory and analytical performance evaluation of generalized correlation beamformers", IEEE Journal of Oceanic Engineering, Vol.25, No.3, pp.314-330, Aug, 2000. https://doi.org/10.1109/48.855261
  5. Jon W. Wallace and Michael A. jensen, "Sparse power angle spectrum estimation", IEEE Transactions on antennas and propagation, Vol.57, No.8, pp.2453-2460, June,2009.
  6. B. Allen and M. Ghavarri, "Adaptive Array System", Wiley, Feb, 2005.
  7. Khairy A. Ei Barbary, Tawil S. Mohamed, Mohamed. S. Melad, "High Resolution Direction of Arrival Estimation(Coherent Signal Source DoA Estimation)", IJERA, Vol.3 No.1, pp.132-137, Sept, 2016.
  8. Yoshifumi Nagata, Toyata Fujioka, and Masato Abe,"Two-Dimensional DOA estimation of sund sourece based on weighted wiener gain exploiting two-directional microphones", IEEE Transaction on Audio, speech, and language processing, Vol.15, No.2, pp.416-429, Jan, 2007 https://doi.org/10.1109/TASL.2006.881699
  9. K.Vastola," On robust wiener signal estimation", IEEE Transactions on Automatic Control, Vol.31, No.5, pp.466-467, jan, 2003. https://doi.org/10.1109/TAC.1986.1104310
  10. Xin Cai, Xiang Wang, Zhi Tao, and Feng Hua wang, "Single channel steepest descent algorithm for the correction of cycle frequency error", IET communications, Vol.10, No.14, Sept, 2016.
  11. H.D .Han and Z.Ding, "Steepest descent algorithm implementation for multichannel blind signal recovery", IET Communications, Vol.6, No.18, pp.3196-3203, Jan, 2013 https://doi.org/10.1049/iet-com.2011.0764
  12. M.Zoltowski, and F.Haber, " A Vector space approach to direction finding in a coherent multipath environment", IEEE Transactions on Antennas and Propagation, Vol.34, No.9, pp.1069-1079, Jan, 2003. https://doi.org/10.1109/TAP.1986.1143956
  13. Byung-Jin Lee, Sang-Lim Ju, Nam-il Kim, Kyung-Seok Kim, 'Performance Analysis of High-Speed 5G MIMO System in mmWave Band', The Journal of The Institute of Internet, Broadcasting and Communication VOL. 18 No. 5, 2018