Radar waveform design for increasing accuracy of delay and Doppler estimation of a target based on CRB

Abstract

Abstract: In this paper, we investigate the problem of waveform design to estimate the delay and Doppler parameters of a target based on the Cramer-Rao Bound (CRB). After obtaining the CRBs, the OFDM signal model is used for the waveform design and by minimizing the CRBs two waveforms are obtained. The performance of waveforms is inspected using the Cross Ambiguity Function (CAF) and the Merit Factor (MF) is used for more evaluations. The increase of the MF is equivalent to the increase of the Probability of detection (Pd) of the target. Simulation results show that using the proposed waveforms, the amount of MF increases which is equivalent to decreasing the side lobes in the CAF and increasing the Pd of targets.

Keywords


[1] J. R. Guerci, "Cognitive radar: a knowledge-aided fully adaptive approach," in Radar Conference, 2010 IEEE, pp. 1365-137, 2010.
[2] Y. Yang and R. S. Blum, "MIMO radar waveform design based on mutual information and minimum mean-square error estimation," Aerospace and Electronic Systems, IEEE Transactions on, vol. 43, no. 1, pp. 330-343, 2007.
[3] S. Haykin, Y. Xue, and T. N. Davidson, "Optimal waveform design for cognitive radar," in Signals, Systems and Computers, 2008 42nd Asilomar Conference on, pp. 3-7, 2008.
[4] M. Teitel and J. Tabrikian, "Waveform design for sequential detection with subspace interference," in Sensor Array and Multichannel Signal Processing Workshop (SAM), 2012 IEEE 7th, pp. 401-404, 2012.
[5] S. Sen and C. W. Glover, "Optimal multicarrier phase-coded waveform design for detection of extended targets," in Radar Conference (RADAR), 2013 IEEE, pp. 1-6, 2013.
[6] S. P. Sira, D. Cochran, A. Papandreou-Suppappola, D. Morrell, W. Moran, S. D. Howard, et al., "Adaptive waveform design for improved detection of low-RCS targets in heavy sea clutter," Selected Topics in Signal Processing, IEEE Journal of, vol. 1, pp. 56-66, 2007.
[7] Y. Wei, H. Meng, Y. Liu, and X. Wang, "Radar phase-modulated waveform design for extended target detection," Tsinghua Science & Technology, vol. 16, no. 4, pp. 364-370, 2011.
[8] X. Deng, C. Qiu, Z. Cao, M. Morelande, and B. Moran, "Waveform design for enhanced detection of extended target in signal-dependent interference," IET Radar, Sonar & Navigation, vol. 6, no. 1, pp. 30-38, 2012.
[9] B. Jiu, H. Liu, B. Chen, and Z. Liu, "Waveform design for wideband radar target recognition based on eigensubspace projection," Radar, Sonar & Navigation, IET, vol. 7, no. 6, pp. 702-709, 2013.
[10] S. Haykin, "Cognitive radar: a way of the future," Signal Processing Magazine, IEEE, vol. 23, no. 1, pp. 30-40, 2006.
[11] W. Huleihel, J. Tabrikian, and R. Shavit, "Optimal adaptive waveform design for cognitive MIMO radar," EEE Transactions on Signal Processing, vol. 61, no. 20, pp. 5075 - 5089, 2013.
[12] J. Li, L. Xu, P. Stoica, K. W. Forsythe, and D. W. Bliss, "Range compression and waveform optimization for MIMO radar: a Cramer–Rao bound based study," Signal Processing, IEEE Transactions on, vol. 56, no. 1, pp. 218-232, 2008.
[13] M. Skolnik, "Introduction to radar system," McGraw-Hill, 2002.
[14] M. Cherniakov, Bistatic Radars: Emerging Technology: John Wiley & Sons, 2008.
[15] L. Wang, H. Wang, Y. Cheng, Y. Qin, and P. V. Brennan, "Adaptive waveform design for maximizing resolvability of targets," in Digital Signal Processing (DSP), 2013 18th International Conference on, pp. 1-6, 2013.
[16] A. NagaJyothi and K. R. Rajeswari, "Generation and Implementation of Barker and Nested Binary codes," Journal of Electrical and Electronics Engineering, vol. 8, no. 2, pp. 33-41, 2013.
[17] B. R. Mahafza and A. Elsherbeni, MATLAB simulations for radar systems design: CRC press, 2003.
[18] W. O. Alltop, "Complex sequences with low periodic correlations," IEEE Transactions on Information Theory, vol. 26, no. 3, pp. 350-354, 1980.
[19] L. Patton, S. Frost, and B. Rigling, "Efficient design of radar waveforms for optimised detection in coloured noise," IET Radar, Sonar & Navigation, vol. 6, no. 1, pp. 21-29, 2012.
[20] S. M. Kay, Fundamentals of Statistical Signal Processing, Volume III: Practical Algorithm Development vol. 3: Pearson Education, 2013.
[21] J. G. Proakis, M. Salehi, N. Zhou, and X. Li, Communication systems engineering, vol. 2: Prentice-hall Englewood Cliffs, 1994.
[22] M. A. Richards, Fundamentals of radar signal processing, Tata McGraw-Hill Education, 2005.
[23] J. E. Palmer and S. J. Searle, "Evaluation of adaptive filter algorithms for clutter cancellation in passive bistatic radar," in Radar Conference (RADAR), 2012 IEEE, pp. 0493-0498, 2012.
[24] F. Colone, D. O'hagan, P. Lombardo, and C. Baker, "A multistage processing algorithm for disturbance removal and target detection in passive bistatic radar," Aerospace and Electronic Systems, IEEE Transactions on, vol. 45, no. 2, pp. 698-722, 2009.
[25] S. Sen, "Adaptive OFDM radar waveform design for improved micro-doppler estimation," IEEE Sensor Journal, vol. 14, no. 10, pp. 3548-3556, 2014.
[26] A. Dogandzic, A. Noherai, "Cramer-Rao Bound for estimating range, velocity and direction with an active array," IEEE Transaction on signal processing, vol. 49, no. 6, pp. 1122-1137, 2001.
[27] Y. Fu, Z. Tian, "Cramer-Rao Bounds for hybrid TOA/DOA-based location estimation in sensor networks," IEEE signal processing letters, vol. 16, no. 8, pp. 655-658, 2009.