Covariance Matrix Synthesis Using Maximum Ratio Combining in Coherent MIMO Radar with Frequency Diversity

  • Jeon, Hyeonmu (Dept. of Wireless Communications Engineering, Kwangwoon University) ;
  • Chung, Yongseek (Dept. of Wireless Communications Engineering, Kwangwoon University) ;
  • Chung, Wonzoo (Devision of Computer and Communications Engineering, Korea University) ;
  • Kim, Jongmann (Agency for Defense Development) ;
  • Yang, Hoongee (Dept. of Wireless Communications Engineering, Kwangwoon University)
  • Received : 2017.01.31
  • Accepted : 2017.08.14
  • Published : 2018.01.01


Reliable detection and parameter estimation of a radar cross section(RCS) fluctuating target have been known as a difficult task. To reduce the effect of RCS fluctuation, various diversity techniques have been considered. This paper presents a new method for synthesizing a covariance matrix applicable to a coherent multi-input multi-output(MIMO) radar with frequency diversity. It is achieved by efficiently combining covariance matrices corresponding to different carrier frequencies such that the signal-to-noise ratio(SNR) in the combined covariance matrix is maximized. The value of a synthesized covariance matrix is assessed by examining the phase curves of its entries and the improvement on direction of arrival(DOA) estimation.

E1EEFQ_2018_v13n1_445_f0001.png 이미지

Fig. 1. Correlation versus frequency interval

E1EEFQ_2018_v13n1_445_f0002.png 이미지

Fig. 2. Phase curves in first row entries

E1EEFQ_2018_v13n1_445_f0003.png 이미지

Fig. 3. MSE of DOA estimation versus frequency interval

E1EEFQ_2018_v13n1_445_f0004.png 이미지

Fig. 4. MSE of DOA estimation in Swerling I model


  1. M. A. Richards, "Fundamentals of radar signal processing," New York: McGraw-Hill, 2005.
  2. J. Li and P. Stoica, "MIMO radar signal processing," New Jersey: John Wiley and Sons, 2009.
  3. A. M. Haimovich, R. S. Blum and L. J. Cimini, mitry Chizhik, and Reinaldo A. Valenzuela, "Spatial diversity in radars-models and detection performance," IEEE Trans. signal processing, vol. 54, pp. 823-838, 2006.
  4. A. M. Haimovich, R. S. Blum and L. J. Cimini, "MIMO Radar with widely separated antennas," IEEE Signal Processing Magazine, vol. 25, no. 1, pp. 116-129, 2008.
  5. H. Liu, S.Zhou, H. Su and Y. Yu, "Detection performance of spatial-frequency diversity MIMO radar," IEEE Trans. Aerospace and Electronic Systems, vol. 50, pp. 3137-3155, Oct. 2014.
  6. K. V. Shanbhag, D. Deb and M. Kulkarni, "MIMO radar with spatial-frequency diversity for improved detection performance," presented at the IEEE Int. Conf. Communication Control and Computing Technologies, Tamil Nadu, India, Oct. 2010.
  7. J. J. Zhang and A. Papandreou-Suppappola, "MIMO radar with frequency diversity," in Proc. International Conference of Waveform Diversity and Dessign, Kissimmee, USA, Feb. 2009, pp. 208-212.
  8. J. Li and P. Stoica, "MIMO Radar with collocated antennas," IEEE Signal Processing Magazine, vol. 24, no. 5, pp. 106-114, 2007.
  9. M. S. Davis and A. D. Lanterman, "Coherent MIMO radar: The phased array and orthogonal waveforms," IEEE Aerospace and Electronic Systems Magazine, vol. 29, pp. 76-91, Aug. 2014.
  10. X.-R. Li, Z. Zhang, W. -X. Mao, X. -M. Wang, J. Lu and W. -S. Wang, "A study of frequency diversity MIMO radar beamforming," presented at the IEEE 10th Int. Conf. Signal Processing, Beijing, China, Oct. 2010.
  11. M. Bica and V. Koivunen, "Generalized Multicarrier Radar: Models and Performance," IEEE Trans. Signal Processing, vol. 64, pp. 4389-4402, Sep. 2016.
  12. C. Gao, K. C. Teh and A. Liu, "Orthogonal Frequency Diversity Waveform with Range-Doppler Optimization for MIMO Radar," IEEE Signal Processing Letters, vol. 21, pp. 1201-1205, Oct. 2014.
  13. B. Kang, V. Monga and M. Rangaswamy, "Computationally Efficient Toeplitz Approximation of Structured Covariance Under a Rank Constraint," IEEE Trans. Aerospace and Electronic Systems, vol. 51, pp. 775-785, Aug. 2014
  14. A. Goldsmith, "Wireless communication", New York: Cambridge university press, 2005.