volume | PIER Journals

Abstract

For the purpose of two-dimensional (2-D) imaging in the Terahertz (THz) near field through 2-D synthetic aperture radar technology, Fourier transform (FT) is one of the most popular imaging ways. However, FT-based algorithms would encounter performance loss either when spatial sampling is under Nyquist frequency or there are off-grid scatterers in the scene of interest. Therefore, by exploiting the theory of matrix enhancement and continuous parameter estimation, we propose to use matrix enhancement and matrix pencil (MEMP) method and matched filter to deal with arbitrarily located scatterers when spatial under-sampling is adopted. Through constructing a specifically expanded matrix, the information of the scatterers involved in the small data set can be enhanced. Then, highresolution grid-independence 2-D imaging can be achieved by the combination of MP and matched filter. Simulation results verify the effectiveness of the proposed algorithm.

1. Luukanen, A., R. Appleby, M. Kemp, and N. Salmon, Millimeter-wave and Terahertz Imaging in Security Applications, Springer, 2012.
doi:10.1007/978-3-642-29564-5_19

2. Prozheev, I. V., O. A. Smolyanskaya, M. V. Duka, A. A. Ezerskaya, V. V. Orlov, E. A. Strepitov, N. S. Balbekin, and M. K. Khodzi, "Study of penetration depth dispersion of THz radiation in human pathological tissues," PIERS Proceedings, 1536-1539, Guangzhou, August 25–28, 2014. Google Scholar

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

4. Zhang, B., Y. Pi, and R. Min, "A near-field 3D circular SAR imaging technique based on spherical wave decomposition," Progress In Electromagnetics Research, Vol. 141, 327-346, 2013.
doi:10.2528/PIER13052011 Google Scholar

5. Ding, J., M. Kahl, O. Loffeld, and P. H. Bolivar, "THz 3-D image formation using SAR techniques: Simulation, processing and experimental results," IEEE Transactions on Terahertz Science and Technology, Vol. 3, No. 5, 606-616, 2013.
doi:10.1109/TTHZ.2013.2271298 Google Scholar

6. Li, S., C. Li, W. Liu, and Z. Sun, "Study of terahertz superresolution imaging scheme with realtime capability based on frequency scanning antenna," IEEE Transactions on Terahertz Science and Technology, Vol. 6, No. 3, 1-13, 2016.
doi:10.1109/TTHZ.2016.2530945 Google Scholar

7. Franceschini, G., et al., "Inversion of phaseless total field data using a two-step strategy based on the iterative multiscaling approach," IEEE Transactions on Geoscience and Remote Sensing, Vol. 44, No. 12, 3527-3539, 2006.
doi:10.1109/TGRS.2006.881753 Google Scholar

8. Caorsi, S., M. Donelli, A. Lommi, and A. Massa, "Location and imaging of two-dimensional scatterers by using a particle swarm algorithm," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 4, 481-494, 2004.
doi:10.1163/156939304774113089 Google Scholar

9. Donelli, M., I. J. Craddock, D. Gibbins, and M. Sarafianou, "A three-dimensional time domain microwave imaging method for breast cancer detection based on an evolutionary algorithm," Progress In Electromagnetics Research M, Vol. 18, 179-195, 2012. Google Scholar

10. Chi, Y., L. L. Scharf, A. Pezeshki, and A. R. Calderbank, "Sensitivity to basis mismatch in compressed sensing," IEEE Transactions on Signal Processing, Vol. 59, No. 5, 2182-2195, 2011.
doi:10.1109/TSP.2011.2112650 Google Scholar

11. Tang, G., B. N. Bhaskar, P. Shah, and B. Recht, "Compressed sensing off the grid," IEEE Trans. Inf. Theory, Vol. 59, No. 11, 7465-7490, 2013.
doi:10.1109/TIT.2013.2277451 Google Scholar

12. Wang, M., W. Yu, and R. Wang, "Azimuth multichannel SAR imaging based on compressed sensing," Progress In Electromagnetics Research, Vol. 141, 497-516, 2013.
doi:10.2528/PIER13052205 Google Scholar

13. Wei, S.-J., X.-L. Zhang, J. Shi, and G. Xiang, "Sparse reconstruction for SAR imaging based on compressed sensing," Progress In Electromagnetics Research, Vol. 109, 63-81, 2010.
doi:10.2528/PIER10080805 Google Scholar

14. Roy, R. and T. Kailath, "Esprit-estimation of signal parameters via rotational invariance techniques," IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 37, No. 7, 984-995, 1989.
doi:10.1109/29.32276 Google Scholar

15. Hua, Y. and T. Sarkar, "Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise," IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 38, No. 5, 814-824, 1990.
doi:10.1109/29.56027 Google Scholar

16. Hua, Y., "Estimating two-dimensional frequencies by matrix enhancement and matrix pencil," IEEE Transactions on Signal Processing, Vol. 40, No. 9, 2267-2280, 1992.
doi:10.1109/78.157226 Google Scholar

17. Zhuge, X. and G. Y. Alexander, "A sparse aperture MIMO-SAR-based UWB imaging system for concealed weapon detection," IEEE Transactions on Geoscience and Remote Sensing, Vol. 49, No. 1, 509-518, 2011.
doi:10.1109/TGRS.2010.2053038 Google Scholar

18. Zhuge, X. and G. Y. Alexander, "Three-dimensional near-field MIMO array imaging using range migration techniques," IEEE Transactions on Image Processing, Vol. 21, No. 6, 3026-3033, 2012.
doi:10.1109/TIP.2012.2188036 Google Scholar

Dr. Li Ding

Dr. Xi Ding

Dr. Yangyang Ye

Dr. Sixuan Wu

Dr. Yiming Zhu