volume | PIER Journals

Abstract

In this paper, the problem of target detection in co-located ``multi-input multi-output" (MIMO) radars is considered. A pulse-train signaling is assumed to be used in this system. As the doppler effect should be considered for the pulse-train signaling, we are confronted by a compound hypothesis testing problem, so in this paper a Generalized Likelihood Ratio (GLR) detector is derived. The high complexity of this detector makes us derive a new detector based on the theory of Independent Component Analysis (ICA). It is shown that the computational load of the ICA-based detector is much less than the GLR detector. It is also shown that the sensitivity of the ICA-based detector to the doppler effect is very low. According to this approach, an appropriate signal design method is presented, based on the separation performance of the ICA algorithms. It is shown that independent random sequences are proper signals in the sense of detection performance.

1. Skolnik, M. I., Introduction to Radar Systems, 3rd Ed., McGraw-Hill, New York, 2001.

2. Haykin, S., J. Litva, and T. J. Shepherd, Radar Array Processing, Springer-Verlag, New York, 1993.

3. Fishler, E., A. Haimovich, R. Blum, D. Chizhik, L. Cimini, and R. Valenzuela, "MIMO radar: An idea whose time has come," Proc. of the IEEE Radar Conf., Vol. 2, 71-78, Honolulu, Hawaii, Apr. 2004.

4. Haimovich, A., R. Blum, and L. Cimini, "MIMO radar with widely separated antennas," IEEE Signal Process. Mag., Vol. 25, 116-129, Jan. 2008.
doi:10.1109/MSP.2008.4408448 Google Scholar

5. Fishler, E., A. Haimovich, R. Blum, L. Cimini, D. Chizhik, and R. Valenzuela, "Spatial diversity in radars-models and detection performance," IEEE Transactions on Signal Processing, Vol. 54, 823-838, Mar. 2006.
doi:10.1109/TSP.2005.862813 Google Scholar

6. Lehmann, N., E. Fishler, A. Haimovich, R. Blum, D. Chizhik, L. Cimini, and R. Valenzuela, "Evaluation of transmit diversity in MIMO radar direction finding," IEEE Transactions on Signal Processing, Vol. 55, 2215-2225, May 2007.
doi:10.1109/TSP.2007.893220 Google Scholar

7. Li, J., P. Stoica, and X. Zheng, "Signal synthesis and receiver design for MIMO radar imaging," IEEE Transactions on Signal Processing, Vol. 56, 3959-3968, Aug. 2008.
doi:10.1109/TSP.2008.923197 Google Scholar

8. Li, J. and P. Stoica, "MIMO radar with colocated antennas," IEEE Signal Process. Mag., Vol. 24, 106114, Sep. 2007. Google Scholar

9. Chen, C. Y. and P. Vaidyanathan, "MIMO radar space-time adaptive processing using prolate spheroidal wave functions," IEEE Transactions on Signal Processing, Vol. 56, 106-114, Sep. 2007. Google Scholar

10. Bekkerman, I. and J. Tabrikian, "Target detection and localization using MIMO radars and sonars," IEEE Transactions on Signal Processing, Vol. 54, 3873-3883, Oct. 2006.
doi:10.1109/TSP.2006.879267 Google Scholar

11. Daum, F. and J. Huang, "MIMO radar: Snake oil or good idea," IEEE Aerosp. Electron. Syst. Mag., 8-12, May 2009.
doi:10.1109/MAES.2009.5109947 Google Scholar

12. Sheikhi, A. and A. Zamani, "Temporal coherent adaptive target detection for multi-input multi-output radars in clutter," IET Radar, Sonar & Navig., Vol. 2, 86-96, Jun. 2008.
doi:10.1049/iet-rsn:20070024 Google Scholar

13. De Maio, A. and M. Lops, "Design principles of MIMO radar detectors," IEEE Transactions on Aerospace and Electronic Systems, Vol. 43, 886-897, Jul. 2007.
doi:10.1109/TAES.2007.4383581 Google Scholar

14. Huang, Y., P. Brennan, D. Patrick, I. Weller, P. Roberts, and K. Hughes, "FMCW based MIMO imaging radar for maritime navigation ," Progress In Electromagnetics Research, Vol. 115, 327-342, 2011. Google Scholar

15. Chen, J., Z. Li, and C. Li, "A novel strategy for topside ionosphere sounder based on spaceborne MIMO radar with fdcd," Progress In Electromagnetics Research, Vol. 116, 381-393, 2011. Google Scholar

16. Lim, S.-H., C. G. Hwang, S.-Y. Kim, and N.-H. Myung, "Shifting MIMO SAR system for high-resolution wide-swath imaging," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 8-9, 1168-1178, 2011.
doi:10.1163/156939311795762114 Google Scholar

17. Yang, Y. and R. S. Blum, "Minimax robust MIMO radar waveform design," IEEE Journal of Sel. Topics Signal Process., Vol. 1, 147-155, 2007.
doi:10.1109/JSTSP.2007.897056 Google Scholar

18. Fuhrmann, D. and G. Antonio, "Transmit beamforming for MIMO radar systems using signal cross-correlation," IEEE Trans. on Aerospace and Electronic Systems, Vol. 44, 171-176, Jan. 2008.
doi:10.1109/TAES.2008.4516997 Google Scholar

19. Qu, Y., G. Liao, S.-Q. Zhu, X.-Y. Liu, and H. Jiang, "Performance analysis of beamforming for MIMO radar," Progress In Electromagnetics Research, Vol. 84, 123-134, 2008.
doi:10.2528/PIER08062306 Google Scholar

20. Sinha, N. B., R. N. Bera, and M. Mitra, "Digital array MIMO radar and its performance analysis," Progress In Electromagnetics Research C, Vol. 4, 25-41, 2008. Google Scholar

21. Hassanien, A. and S. A. Vorobyov, "Phased-MIMO radar: A tradeoff between phased-array and MIMO radars," IEEE Transactions on Signal Processing, Vol. 58, 3137-3151, Jun. 2010.
doi:10.1109/TSP.2010.2043976 Google Scholar

22. Zhang, J., H. Wang, and X. Zhu, "Adaptive waveform design for separated transmit/receive ULA-MIMO radar," IEEE Transactions on Signal Processing, Vol. 58, 4936-4942, Sep. 2010.
doi:10.1109/TSP.2010.2052043 Google Scholar

23. Sen, S. and A. Nehorai, "OFDM MIMO radar with mutual-information waveform design for low-grazing angle tracking," IEEE Transactions on Signal Processing, Vol. 58, 3152-3162, Jun. 2010.
doi:10.1109/TSP.2010.2044834 Google Scholar

24. Li, H. and B. Himed, "Transmit subaperturing for MIMO radars with co-located antennas," IEEE Journal of Selected Topics in Signal Processing, Vol. 4, 55-65, Feb. 2010.
doi:10.1109/JSTSP.2009.2038967 Google Scholar

25. Hatam, M., A. Sheikhi, and M. A. Masnadi-Shirazi, "A pulse-train mimo radar based on theory of independent component analysis," Submitted for Publication in the Iranian Journal of Science and Technology, Jun. 2011. Google Scholar

26. Cui, G., L. Kong, and X. Yang, "Multiple-input multiple-output radar detectors design in non-gaussian clutter," IET Radar, Sonar & Navig., Vol. 4, 724-732, 2010.
doi:10.1049/iet-rsn.2009.0056 Google Scholar

27. Levenon, N., "Stepped-frequency pulse-train radar signal," IEE Proc. of Radar, Sonar and Navigation, Vol. 149, 297-309, Dec. 2002.
doi:10.1049/ip-rsn:20020432 Google Scholar

28. Iizuka, K., A. P. Freundorfer, et al. "Step-frequency radar," Journal of Applied physics, Vol. 56, 2572-2583, Nov. 1984. Google Scholar

29. Mohseni, R., A. Sheikhi, and M. A. Masnadi-Shirazi, "Compression of multicarrier phase-coded radar signals based on discrete fourier transform (DFT)," Progress In Electromagnetics Research C, Vol. 5, 93-117, 2008. Google Scholar

30. Gabriel, J. R. and S. M. Kay, "On the relationship between the GLRT and UMPI tests for the detection of signals with unknown parameters," IEEE Transactions on Signal Processing, Vol. 53, 4194-4203, Nov. 2005. Google Scholar

31. Hyvärinen, A., J. Karhunen, and E. Oja, Independent Component Analysis, John Wiley and Sons, New York, 2001.

32. Comon, P., "Independent components analysis: A new concept?," Special Issue on Higher-order Statistics, Signal Processing, Elsevier, Vol. 36, 287-314, Apr. 1994. Google Scholar

33. Belouchrani, A., K. A. Meraim, J. F. Cardoso, and E. Moulines, "A blind source separation technique based on second order statistics," IEEE Transactions on Signal Process, Vol. 45, 434-444, 1997.
doi:10.1109/78.554307 Google Scholar

34. Hyvärinen, A. and E. Oja, "A fast fixed-point algorithm for independent component analysis," IEEE Transactions on Neural Computations, Vol. 9, 1483-1492, Oct. 1997. Google Scholar

35. Cardoso, J. F. and A. Souloumiac, "Blind beamforming for non gaussian signals," IEE Proceedings F, Radar and Signal Processing, Vol. 140, 362-370, Dec. 1993.
doi:10.1049/ip-f-2.1993.0054 Google Scholar

36. Cardoso, J. F., "Jade algorithm for complex-valued signals as a matlab function," http://perso.telecom-paristech.fr/cardoso/Algo/Jade/jade.m. Google Scholar

37. Kay, S. M., Fundamentals of Statistical Signal Processing: Estimation Theory, Vol. 1, Prentice-Hall, 1998.

38. Tichavský, P., Z. Koldovský, and E. Oja, "Performance analysis of the FastICA algorithm and Cramer-Rao bounds for linear independent component analysis," IEEE Transactions on Signal Processing, Vol. 54, 1189-1203, Apr. 2006.
doi:10.1109/TSP.2006.870561 Google Scholar

39. Koldovský, Z., P. Tichavský, and E. Oja, "Efficient variant of algorithm FastICA for independent component analysis attaining the Cramr-Rao lower bound," IEEE Transactions on Neural Networks, Vol. 17, 806-815, Sep. 2006. Google Scholar

40. Holtz, O. and N. Shomron, "Computational complexity and numerical stability of linear problems," Proceedings of the 5th European Congress of Mathematics, 381-400, EMS Publishing House, 2010. Google Scholar

41. Todros, K. and J. Tabrikian, "Fast approximate joint diagonalization of positive definite hermitian matrices," IEEE International Conference on Acoustics, Speech and Signal Processing, Vol. 3, 2007.

42. Papoulis, A. and S. Pillai, Probability, Random Variables and Stochastic Processes, 4th Ed., Mc-Graw-Hill, 2002.

Dr. Majid Hatam

Dr. Abbas Sheikhi

Dr. Mohammad Ali Masnadi-Shirazi