volume | PIER Journals

Abstract

Millimeter-wave (MMW) imaging techniques have been used for the detection of concealed weapons and contraband carried on personnel at airports and other secure locations. The combination of frequency-modulated continuous-wave (FMCW) technology and MMW imaging techniques should lead to compact, light-weight, and low-cost systems which are especially suitable for security and detection application. However, the long signal duration time leads to the failure of the conventional stop-and-go approximation of the pulsed system. Therefore, the motion within the signal duration time needs to be taken into account. Analytical three-dimensional(3-D) backscattered signal model, without using the stop-and-go approximation, is developed in this paper. Then, a wavenumber domain algorithm, with motion compensation, is presented. In addition, conventional wavenumber domain methods use Stolt interpolation to obtain uniform wavenumber samples and compute the fast Fourier transform (FFT). This paper uses the 3-D nonuniform fast Fourier transform (NUFFT) instead of the Stolt interpolation and FFT. The NUFFT-based method is much faster than the Stolt interpolation-based method. Finally, point target simulations are performed to verify the algorithm.

1. Sheen, D. M., D. L. McMakin, and T. E. Hall, "Three-dimensional millimeter-wave imaging for concealed weapon detection," IEEE Trans. on Microwave Theory and Techniques, Vol. 49, No. 9, 1581-1592, Sep. 2001.
doi:10.1109/22.942570 Google Scholar

2. Appleby, R. and R. N. Anderton, "Millimeter-wave and submillimeter-wave imaging for security and surveillance," Proceedings of the IEEE, Vol. 95, No. 8, 1683-1690, Aug. 2007.
doi:10.1109/JPROC.2007.898832 Google Scholar

3. Yeom, S., D. Lee, H. Lee, J. Son, and V. P. Gushin, "Distance estimation of concealed objects with stereoscopic passive millimeter-wave imaging," Progress In Electromagnetics Research, Vol. 115, 399-407, 2011. Google Scholar

4. Huang, Y., P. V. 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

5. Meta, A., P. Hoogeboom, and L. P. Ligthart, "Signal processing for FMCW SAR," IEEE Trans. on Geoscience and Remote Sensing, Vol. 45, No. 11, 3519-3532, Nov. 2007.
doi:10.1109/TGRS.2007.906140 Google Scholar

6. Wang, R., O. Lo®eld, H. Nies, S. Knedlik, M. Hagelen, and H. Essen, "Focus FMCW SAR data using the wavenumber domain algorithm," IEEE Trans. on Geoscience and Remote Sensing, Vol. 48, No. 4, 2109-2118, Apr. 2010.
doi:10.1109/TGRS.2009.2034368 Google Scholar

7. Lee, M. S., "Signal modeling and analysis of a planar phased-array FMCW radar with antenna switching," IEEE Antennas and Wireless Propagation Letters, Vol. 10, 179-182, 2011.
doi:10.1109/LAWP.2011.2123074 Google Scholar

8. De Wit, J. J. M., A. Meta, and P. Hoogeboom, "Modified range-doppler processing for FM-CW synthetic aperture radar," IEEE Geoscience and Remote Sensing Letters, Vol. 3, No. 1, 83-87, Jul. 2006.
doi:10.1109/LGRS.2005.856700 Google Scholar

9. Mittermayer, J., A. Moreira, and O. Loffeld, "Spotlight SAR data processing using the frequency scaling algorithm," IEEE Trans. on Geoscience and Remote Sensing, Vol. 37, No. 5, 2198-2214, Sep. 1999.
doi:10.1109/36.789617 Google Scholar

10. Jiang, Z. H., K. Huang-Fu, and J. W. Wan, "A chirp transform algorithm for processing squint mode FMCW SAR data," IEEE Geoscience and Remote Sensing Letters, Vol. 4, No. 3, 377-381, Jul. 2007.
doi:10.1109/LGRS.2007.895689 Google Scholar

11. Sheen, D. M., H. D. Collins, T. E. Hall, D. L. McMakin, R. P. Gribble, R. H. Severtsen, J. M. Prince, and L. D. Reid, "Real-time wideband holographic surveillance system,", U.S. Patent 5557283, Sep. 17, 1996. Google Scholar

12. Sheen, D. M., D. L. McMakin, H. D. Collins, T. E. Hall, and R. H. Severtsen, "Concealed explosive detection on personnel using a wideband holographic millimeter-wave imaging system," Proceedings of SPIE, Vol. 2755, 503-513, 1996.
doi:10.1117/12.243191 Google Scholar

13. Sheen, D., D. McMakin, and T. Hall, "Near-field three-dimensional radar imaging techniques and applications," Applied Optics, Vol. 49, E83-E93, Jun. 2010.
doi:10.1364/AO.49.000E83 Google Scholar

14. Tan, W., W. Hong, Y. Wang, and Y. Wu, "A novel spherical-wave three-dimensional imaging algorithm for microwave cylindrical scanning geometries," Progress In Electromagnetics Research, Vol. 111, 43-70, 2011.
doi:10.2528/PIER10100307 Google Scholar

15. Subiza, I., E. Gimeno-Nieves, J. M. Lopez-Sanchez, and J. Fortuny-Guasch, "An approach to SAR imaging by means of non-uniform FFTs," IEEE International Geoscience and Remote Sensing Symposium, Vol. 6, 4089-4091, 2003. Google Scholar

16. Song, J., Q. H. Liu, P. Torrione, and L. Collins, "Two-dimensional and three-fimensional NUFFT migration method forlandmine detection using ground-penetrating radar," IEEE Trans. on Geoscience and Remote Sensing, Vol. 44, No. 6, 1462-1469, Jun. 2006.
doi:10.1109/TGRS.2006.870412 Google Scholar

17. Dutt, A. and V. Rokhlin, "Fast Fourier transforms for nonequispaced data," SIAM Journal on Scientific Computing, Vol. 14, No. 6, 1368-1393, Nov. 1993.
doi:10.1137/0914081 Google Scholar

18. Liu, Q. H. and N. Nguyen, "An accurate algorithm for nonuniform fast Fourier transforms (NUFFT)," IEEE Microwave and Guided Letters, Vol. 8, No. 1, 18-20, Jan. 1998.
doi:10.1109/75.650975 Google Scholar

19. Nguyen, N. and Q. H. Liu, "The regular Fourier matrices and nonuniform fast Fourier transforms," SIAM Journal on Scientific Computing, Vol. 21, No. 1, 283-293, Sep. 1999.
doi:10.1137/S1064827597325712 Google Scholar

20. Liu, Q. H., X. M. Xu, B. Tian, and Z. Q. Zhang, "Applications of nonuniform fast transform algorithms in numerical solutions of di®erential and integral equations," IEEE Trans. on Geoscience and Remote Sensing, Vol. 38, No. 4, 1551-1560, Jul. 2000.
doi:10.1109/36.851955 Google Scholar

21. Fessler, J. A. and B. P. Sutton, "Nonuniform fast Fourier transforms using min-max interpolation," IEEE Trans. on Signal Processing, Vol. 51, No. 2, 560-574, Feb. 2003.
doi:10.1109/TSP.2002.807005 Google Scholar

22. Greengard, L. and J. Y. Lee, "Accelerating the nonuniform fast Fourier transform," SIAM Review, Vol. 46, No. 3, 443-454, Jul. 2004.
doi:10.1137/S003614450343200X Google Scholar

23. Lee, J. Y. and L. Greengard, "The type 3 nonuniform FFT and its applications," Journal of Computational Physics, Vol. 206, No. 1, 1-5, Jun. 2005.
doi:10.1016/j.jcp.2004.12.004 Google Scholar

24. Fessler, J. A., "On NUFFT-based gridding for non-cartesian MRI," Journal of Magnetic Resonance, Vol. 188, 191-195, 2007.
doi:10.1016/j.jmr.2007.06.012 Google Scholar

25. Zhou, X., H. Sun, J. He, and X. Lu, "NUFFT-based iterative reconstruction algorithm for synthetic aperture imaging radiometers," IEEE Geoscience and Remote Sensing Letters, Vol. 6, No. 2, 273-276, Apr. 2009.
doi:10.1109/LGRS.2008.2012123 Google Scholar

26. Li, S. Y., H. J. Sun, B. C. Zhu, and R. Liu, "Two-dimensional NUFFT-based algorithm for fast near-field imaging," IEEE Antennas and Wireless Propagation Letters, Vol. 9, 814-817, 2010.
doi:10.1109/LAWP.2010.2069550 Google Scholar

27. Carrara, W. G., R. S. Goodman, and R. M. Majewski, Spotlight Synthetic Aperture Radar Signal Processing Algorithms, Artech House, 1995.

28. Cumming, I. G. and F. H. Wong, Digital Processing of Synthetic Aperture Radar Data Algorithms and Implementation, Artech House, 2005.

29. Guo, D., H. Xu, and J. Li, "Extended wavenumber domain algorithm for highly squinted sliding spotlight SAR data processing," Progress In Electromagnetics Research, Vol. 114, 17-32, 2011. Google Scholar

Dr. Shiyong Li

Dr. Bailing Ren

Professor Hou-Jun Sun

Dr. Weidong Hu

Professor Xin Lv