PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 137 > pp. 219-237

RECURSIVE IMPLEMENTATION OF NATURAL FREQUENCY-BASED RADAR DETECTION USING THE LRT SCHEME

By J.-H. Lee and S.-H. Jeong

Full Article PDF (275 KB)

Abstract:
We address the performance analysis of the natural frequency-based radar target detection in this paper. We show how to calculate the detection performance recursively by making a polynomial approximation of the probability density function (PDF) of the standard normal distribution. Why we make a polynomial approximation of the PDF of the standard normal distribution is that the PDF of the standard normal distribution is not analytically integrable but that the polynomial is definitely analytically integrable, which makes it possible to calculate the detection performance without look-up table. The Taylor polynomial is used for an approximation of the PDF of the standard normal distribution. We derive the error of the approximation, the bound of the error of approximation, and the optimal polynomial approximation in the sense that the bound of the error of the approximation is minimized. We validate the derived expressions via numerical simulation.

Citation:
J.-H. Lee and S.-H. Jeong, "Recursive Implementation of Natural Frequency-Based Radar Detection Using the Lrt Scheme," Progress In Electromagnetics Research, Vol. 137, 219-237, 2013.
doi:10.2528/PIER13011701
http://www.jpier.org/PIER/pier.php?paper=13011701

References:
1. Chang, Y.-L., C.-Y. Chiang, and K.-S. Chen, "SAR image simulation with application to target recognition," Progress In Electromagnetics Research, Vol. 119, 35-57, 2011.
doi:10.2528/PIER11061507

2. Mooney, J. E., Z. Ding, and L. S. Riggs, "Performance analysis of a GLRT automated target discrimination scheme," IEEE Trans. Antennas and Propagation, Vol. 49, No. 12, 1827-1835, Dec. 2001.
doi:10.1109/8.982466

3. Cho, S.-W. and J.-H. Lee, "Effect of threshold value on the performance of natural frequency-based radar target recognition," Progress In Electromagnetics Research, Vol. 135, 527-562, 2013.

4. Lee, J.-H., S.-W. Cho, S.-H. Park, and K.-T. Kim, "Performance analysis of radar target recognition using natural frequency: Frequency domain approch," Progress In Electromagnetics Research, Vol. 132, 315-345, 2012.

5. Lee, J.-H. and H.-T. Kim, "Comments on extraction of the natural frequencies of a radar target from a measured response using E-pulse techniques," IEEE Trans. Antennas and Propagation, Vol. 53, No. 11, 3853-3855, Nov. 2005.

6. Lee, J.-H., I.-S. Choi, and H.-T. Kim, "Natural frequency based neural network approach to radar target recognition," IEEE Trans. Signal Processing, Vol. 51, No. 12, 3191-3197, Dec. 2003.
doi:10.1109/TSP.2003.818908

7. Lee, J.-H. and H.-T. Kim, "Radar target discrimination using transient response reconstruction," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 5, 655-669, May 2005.
doi:10.1163/1569393053305062

8. Lee, J.-H. and H.-T. Kim, "Radar target recognition based on late time representation: Closed-form expression for criterion," IEEE Trans. Antennas and Propagation, Vol. 54, 2455-2462, Sep. 2006.
doi:10.1109/TAP.2006.880665

9. Lee, J.-H. and H.-T. Kim, "Radar target recognition using least squares estimate," Microwave and Optical Technology Letters, Vol. 30, 427-434, Sep. 2001.
doi:10.1002/mop.1335

10. Mooney, J. E., Z. Ding, and L. Riggs, "Performance analysis of a GLRT in late-time radar target detection," Progress In Electromagnetics Research, Vol. 24, 77-96, 1999.
doi:10.2528/PIER99012001

11. Chen, C. C. and L. Peters, "Buried unexploded ordnance identification via complex natural resonances," IEEE Trans. Antennas Propagat., Vol. 45, No. 11, 1645-1654, 1997.
doi:10.1109/8.650076

12. Lee, K.-H., C.-C. Chen, F. L. Teixeira, and R. Lee, "Modeling and characterization of geometrically complex UWB antennas using FDTD," IEEE Trans. Antennas Propagat., Vol. 52, No. 8, 1983-1991, 2004.
doi:10.1109/TAP.2004.832501

13. Chen, C. C., B. Higgins, K. O'Neil, and R. Detsch, "Ultrawide-bandwidth fully-polarimetric ground penetrating radar classification of subsurface unexploded ordnance," IEEE Trans. Geosci. Remote Sens., Vol. 39, No. 6, 1221-1320, 2001.
doi:10.1109/36.927444

14. Magaz, B., A. Belouchrani, and M. Hamadouche, "Automatic threshold selection in OS-CFAR radar detection using information theoretic criteria," Progress In Electromagnetics Research B, Vol. 28, 75-94, 2011.

15. Le Marshall, N. W. D. and A. Z. Tirkel, "MIMO radar array for termite detection and imaging," Progress In Electromagnetics Research B, Vol. 28, 75-94, 2011.

16. Narayanan, R. M., M. C. Shastry, P.-H. Chen, and M. Levi, "Through-the-wall detection of stationary human targets using doppler radar," Progress In Electromagnetics Research B, Vol. 20, 147-166, 2010.
doi:10.2528/PIERB10022206

17. Conceicao, R. C., M. O'Halloran, M. Glavin, and E. Jones, "Numerical modeling for ultra wideband radar breast cancer detection and classificatio," Progress In Electromagnetics Research B, Vol. 34, 145-171, 2011.

18. Wang, F.-F. and Y.-R. Zhang, "The support vector machine for dielectric target detection through a wall," Progress In Electromagnetics Research Letters, Vol. 23, 119-128, 2011.

19. Liu, B. and W. Chang, "A novel range-spread target detection approach for frequency stepped chirp radar," Progress In Electromagnetics Research, Vol. 131, 275-292, 2012.

20. Lee, J.-H. and S.-H. Jeong, "Performance of natural frequency-based target detection in frequency domain," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 17-18, 2426-2437, 2012.
doi:10.1080/09205071.2012.735789

21. Zhou, W., J.-T. Wang, H. W. Chen, and X. Li, "Signal model and moving target detection based on MIMO synthetic aperture radar," Progress In Electromagnetics Research, Vol. 131, 311-329, 2012.

22. Hatam, M., A. Sheikhi, and M. A. Masnadi-Shirazi, "Target detection in pulse-train MIMO radars applying ica algorithms," Progress In Electromagnetics Research, Vol. 122, 413-435, 2012.
doi:10.2528/PIER11101206

23. Tian, B., D.-Y. Zhu, and Z.-D. Zhu, "A novel moving target detection approach for dual-channel SAR system," Progress In Electromagnetics Research, Vol. 115, 191-206, 2011.

24. Lee, J.-H. and H.-T. Kim, "Selecting sampling interval of transient response for the improved Prony method," IEEE Trans. Antennas and Propagation, Vol. 51, No. 1, 74-77, Jan. 2003.
doi:10.1109/TAP.2003.808551

25. Lee, J.-H., I.-S. Choi, and H.-T. Kim, "Natural frequency based neural network approach to radar target recognition," IEEE Trans. Signal Processing, Vol. 51, No. 12, 3191-3197, Dec. 2003.
doi:10.1109/TSP.2003.818908

26. Lee, J.-H. and H.-T. Kim, "Hybrid method for natural frequency extraction: Performance improvement using Newton-Raphson method," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 8, 1043-1055, Aug. 2005.
doi:10.1163/156939305775526061

27. Cho, S.-W. and J.-H. Lee, "Efficient implementation of the Capon beamforming using the Levenberg-Marquardt scheme for two dimensional AOA estimation," Progress In Electromagnetics Research, Vol. 137, 19-34, 2013.

28. Lee, J.-H., S.-W. Cho, and I.-S. Choi, "Simple expressions of CEP and covariance matrix for localization using LOB measurements or circular trajectory," Electronics Express, Vol. 9, No. 14, 1221-1229, 2012.
doi:10.1587/elex.9.1221

29. Lee, J.-H., S.-W. Cho, and H.-S. Kim, "Newton-type method in spectrum estimation-based AOA estimation," Electronics Express, Vol. 9, No. 12, 1036-1043, 2012.
doi:10.1587/elex.9.1036

30. Lee, J.-H., Y.-S. Jeong, S.-W. Cho, W.-Y. Yeo, and K. Pister, "Application of the Newton method to improve the accuracy of TOA estimation with the beamforming algorithm and the MUSIC algorithm," Progress In Electromagnetics Research, Vol. 116, 475-515, 2011.

31. Lee, J.-H., H.-J. Kwon, and Y.-K. Jin, "Numerically efficient implementation of JADE ML algorithm," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 11-22, 1693-1704, 2008.
doi:10.1163/156939308786390256

32. Jeong, Y.-S. and J.-H. Lee, "Estimation of time delay using conventional beamforming based algorithm for UWB systems," Electromagnetic Waves and Applications, Vol. 21, No. 15, 2413-2402, 2007.
doi:10.1163/156939307783134281

32. Burden, R. L. and J. D. Faires, Numerical Analysis, Cengage Learning, Boston, 2010.


© Copyright 2014 EMW Publishing. All Rights Reserved