Imaging method of space-frequency TR-MUSIC in random medium

doi:10.7523/j.issn.2095-6134.2021.02.012

Abstract

Abstract: A time reversal imaging algorithm, based on the space-frequency decomposition, namely space-frequency TR-MUSIC, is proposed in an attempt to improve the focusing of the target obscured by complex random media, where TR-MUSIC algorithm may perform poorly when the signal to noise ratio (SNR) is low and the acquisition of the space-space multistatic data matrix (SS-MDM) is difficult. Using the backscattered data collected by an antenna array, a space-frequency multistatic data matrix (SF-MDM) is configured. Then the singular value decomposition is applied to the matrix to obtain the noisy subspace vector, which is then employed to image the target. The imaging function based on the full backscattered data includes the contributions of multiple sub-matrix and is found to be statistically stable. Numerical simulations show that the imaging performance of the space-frequency TR-MUSIC is better than that of the traditional space-space TR-MUSIC in both free space and random media, with fine resolution and good geometric accuracy under SNR as low as 10 dB.

Key words: time reversal(TR), multiple signal classification(MUSIC), space-frequency multistatic data matrix, singular value decomposition, random medium

CLC Number:

TN919.8

MA Tian, CHEN Kunshan, LIU Yu, LI Tingting, XU Zhen. Imaging method of space-frequency TR-MUSIC in random medium[J]. Journal of University of Chinese Academy of Sciences, 2021, 38(2): 260-269.

References

[1] Fink M. Time reversed acoustics[J]. Physics Today, 1997, 50(3):34-40.
[2] 常敬明, 金铭, 曾江源, 等. 随机介质场景下的时间反转成像效果分析[J]. 中国科学院大学学报, 2018, 35(1):59-65.
[3] Ishimaru A, Jaruwatanadilok S, Kuga Y. Time reversal effects in random scattering media on superresolution, shower curtain effects, and backscattering enhancement[J]. Radio Science, 2007, 42(6):1-9.
[4] Liu D, Vasudevan S, Krolik J, et al. Electromagnetic time-reversal source localization in changing media:experiment and analysis[J]. IEEE Transactions on Antennas & Propagation, 2007, 55(2):344-354.
[5] Lerosey G, Rosny J, Tourin A, et al. Time reversal of electromagnetic waves[J]. Physical Review Letters, 2004, 92(19):193904.
[6] Oestges C, Kim A D, Papanicolaou G, et al. Characterization of space-time focusing in time-reversed random fields[J]. IEEE Transactions on Antennas & Propagation, 2005, 53(1):283-293.
[7] Shi G, Nehorai A. A relationship between time-reversal imaging and maximum-likelihood scattering estimation[J]. IEEE Transactions on Signal Processing, 2007, 55(9):4707-4711.
[8] Prada C, Fink M. Eigenmodes of the time reversal operator:a solution to selective focusing in multiple-target media[J]. Wave Motion, 1994, 20(2):151-163.
[9] Prada C, Manneville S B, Spoliansky D, et al. Decomposition of the time reversal operator:detection and selective focusing on two scatterers[J]. Journal of the Acoustical Society of America, 1996, 99(4):2067-2076.
[10] Lev-ari H, Devancy A J. The time-reversal technique re-interpreted:subspace-based signal processing for multi-static target location[C]//proceedings of the Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop SAM 2000(Cat No 00EX410). IEEE,2000:509-513.
[11] Devaney A J. Time reversal imaging of obscured targets from multistatic data[J]. IEEE Transactions on Antennas and Propagation, 2005, 53(5):1600-1610.
[12] Yousefnia M, Ebrahimzadeh A, Dehmollaian M, et al. A time-reversal imaging system for breast screening:theory and initial phantom results[J]. IEEE Transactions on Biomedical Engineering, 2018, 65(11):2542-2551.
[13] Yavuz M E, Teixeira F L. On the sensitivity of time-reversal imaging techniques to model perturbations[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(3):834-843.
[14] Ishimaru A, Jaruwatanadilok S, Kuga Y. Imaging through random multiple scattering media using integration of propagation and array signal processing[J]. Waves in Random & Complex Media, 2012, 22(1):24-39.
[15] 夏云龙, 付永庆. 一种随机媒质时间反转成像算法[J]. 信息技术, 2006, 30(5):70-71.
[16] Bagherkhani S, Faraji-dana R, Dehmollaian M. A time-reversal imaging system for buried objects in layered media using complex images Green's functions[J]. AEU-International Journal of Electronics and Communications, 2019, 105:1-8.
[17] Scholz B. Towards virtual electrical breast biopsy:space-frequency MUSIC for trans-admittance data[J].IEEE Transactions on Medical Imaging, 2002, 21(6):588-595.
[18] Yavuz M E, Teixeira F L. Space-frequency ultrawideband time-reversal imaging[J]. IEEE Transactions on Geoscience & Remote Sensing, 2008, 46(4):1115-1124.
[19] 钟选明, 廖成, 冯菊. 基于空谱分解的时间反演时域成像[J]. 电波科学学报, 2014, 29(3):476-479,491.
[20] Zhong X, Liao C, Lin W. Space-frequency decomposition and time-reversal imaging[J]. IEEE Transactions on Antennas & Propagation, 2015, 63(12):5619-5628.
[21] Ishimaru A. Wave propagation and scattering in random media. Repr. of the 1978 orig[J]. Wave Propagation & Scattering in Random Media, 1978, 1(6):407-460.
[22] Goodman J W. Statistical optics[M]. New York:John Wiley Press, 1985:550-570.
[23] Chan T, Jaruwatanadilok S, Kuga Y, et al. Numerical study of the time-reversal effects on super-resolution in random scattering media and comparison with an analytical model[J]. Waves in Random & Complex Media, 2008, 18(4):627-639.