A Time-Reversal FDTD Method for Image Reconstruction in the Presence of Noise
Keywords:
Cross-correlation, FDTD, microwave imaging, time reversalAbstract
A new method for image reconstruction using the time-reversed finite-difference time-domain method (TR-FDTD) in severely noisy environments is presented. The proposed method combines crosscorrelation processing with TR-FDTD to successfully produce clear images even in the presence of large amount of noise in the captured signals. The method’s capabilities are demonstrated through simulations and experiments in the x-band frequency region (8-12 GHz). Behind the wall imaging was used as a test case to validate the method. Numerical and experimental noise were added to corrupt the signals, and images were reconstructed with and without the added noise. The proposed method successfully produced clear images while the standard TR-FDTD method resulted in unrecognizable images. The efficacy and robustness of the proposed technique make it promising for applications including through-wall and buried-objects imaging in noisy environments.
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References
L. Giubbolini, “A microwave imaging radar in the near field for anti-collision (MIRANDA),” IEEE Transactions on Microwave Theory and Techniques, vol. 47, no. 9, pp. 1891-1900, Sep .1999.
Y. Wang, A. M. Abbosh, B. Henin, and P. T. Nguyen, “Synthetic bandwidth radar for ultrawideband microwave imaging systems,” IEEE Transactions on Antennas and Propagation, vol. 62, no. 2, pp. 698-705, Feb. 2014.
M. Peichl, S. Dill, M. Jirousek, and H. Suess, “Near-field microwave imaging radiometers for security applications,” 7th European Conference on Synthetic Aperture Radar (EUSAR), Friedrichshafen, Germany, 2008.
M. Klemm, J. A. Leendertz, D. Gibbins, I. J. Craddock, A. Preece, and R. Benjamin, “Microwave radar-based breast cancer detection: Imaging in inhomogeneous breast phantoms,” IEEE Antennas and Wireless Propagation Letters, vol. 8, pp. 1349- 1352, 2009.
E. C. Fear, J. Bourqui, C. Curtis, D. Mew, B. Docktor, and C. Romano, “Microwave breast imaging with a monostatic radar-based system: A study of application to patients,” IEEE Transactions on Microwave Theory and Techniques, vol. 61, no. 5, pp. 2119-2128, May 2013.
M. Klemm, J. A. Leendertz, D. Gibbins, I. J. Craddock, A. Preece, and R. Benjamin, “Microwave radar-based differential breast cancer imaging: Imaging in homogeneous breast phantoms and low contrast scenarios,” IEEE Transactions on Antennas and Propagation, vol. 58, no. 7, pp. 2337-2344, July 2010.
K. M. Yemelyanov, N. Engheta, A. Hoorfar, and J. A. McVay, “Adaptive polarization contrast techniques for through-wall microwave imaging applications,” IEEE Transactions on Geoscience and Remote Sensing, vol. 47, no. 5, pp. 1362-1374, May 2009.
F. Ahmad, M. G. Amin, and S. A. Kassam, “Synthetic aperture beamformer for imaging through a dielectric wall,” IEEE Transactions on Aerospace and Electronic Systems, vol. 41, no. 1, pp. 271-283, Jan. 2005.
E. C. Fear, X. Li, S. C. Hagness, and M. A. Stuchly, “Confocal microwave imaging for breast cancer detection: Localization of tumors in three dimensions,” IEEE Transactions on Biomedical Engineering, vol. 49, no. 8, pp. 812-822, Aug. 2002.
M. Elsdon, M. Leach, S. Skobelev, and D. Smith, “Microwave holographic imaging of breast cancer,” International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, Hangzhou, 2007.
G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink “Time reversal of electromagnetic waves,” Physical Review Letters, vol. 92, 193904, May 2004.
M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J. L. Thomas, and F. Wu, “Timereversed acoustics,” Reports on Progress in Physics, vol. 63, pp. 1933-1995, 2000.
M. E. Yavuz and F. L. Teixeira, “A numerical study of time-reversed UWB electromagnetic waves in continuous random media,” IEEE Antennas and Wireless Propagation Letters, vol. 4, pp. 43-46, 2005.
A. E. Fouda, F. L. Teixeira, and M. E. Yavuz, “Imaging and tracking of targets in clutter using differential time-reversal,” Proceedings of the 5th European Conference on Antennas and Propagation (EUCAP), Rome, pp. 569-573, 2011.
P. Kosmas and C. M. Rappaport, “Time reversal with the FDTD method for microwave breast cancer detection,” IEEE Transactions on Microwave Theory and Techniques, vol. 53, no. 7, pp. 2317- 2323, July 2005.
C. Bardak and M. Saed, “Microwave imaging with a time-reversed finite-difference time-domain technique,” Journal of Electromagnetic Waves and Applications, vol. 28, no. 12, 2014.
W. Zheng, Z. Zhao, and Z. Nie, “Application of TRM in the UWB through wall radar,” PIER, vol. 87, pp. 279-296, 2008.
L. Li, W. Zhang, and F. Li, “A novel autofocusing approach for real-time through-wall imaging under unknown wall characteristics,” IEEE Transactions on Geoscience and Remote Sensing, vol. 48, no. 1, pp. 423-431, Jan. 2010.
A. B. Gorji and B. Zakeri, “Time-reversal throughwall microwave imaging in rich scattering environment based on target initial reflection method,” ACES Journal, vol. 30, no. 6, June 2015.
K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Transaction on Antennas and Propagation, vol. 14, pp. 302-307, 1966.
A. Z. Elsherbeni and V. Demir, The FiniteDifference Time-domain Method for Electromagnetics with Matlab Simulations. SciTech Publishing, 2009.
J. A. Roden and S. D. Gedney, “Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media,” Microwave and Optical Technology Letters, vol. 27, pp. 334- 339, 2000.
J. G. Proakis and D. K. Manolakis, Digital Signal Processing. 4th Edition, Pearson, 2007.
