MUSIC Based Microwave Imaging of Nonlinear Point-Like Scatterers

Abstract

Narrowband localization of point-like nonlinear scatterers in a homogeneous background medium is investigated. A theoretical framework is provided based on Multiple Signal Classification (MUSIC) imaging, formerly developed for time-reversal imaging of point-like targets in cluttered environment. Numerical simulations are provided to assist in understanding the relations between various aspects of the imaging method. Numerical evidence shows that for the same signal to noise ratio, higher order harmonics (second and third harmonics) resulting from nonlinear scattering, have better imaging resolutions compared to the fundamental harmonic corresponding to linear scattering.

Keywords

• Harmonic radar
• nonlinear target
• microwave imaging
• MUSIC.

References

1. Colpitts B.G., Boiteau G., “Harmonic radar transceiver design: Miniature tags for insect tracking,” IEEE Antennas and Propagat., vol. 52, no. 11, pp. 2825-2832, 2004.
2. Jau P.H., Tsai Z.M., Kuo N.C., Kao J.C., Lin K.Y., Chang F.R., Yang E.C., Wang H., “Signal processing for harmonic pulse radar based on spread spectrum technology,” IET Radar Sonar Navig., vol. 8, no. 3, pp. 242–250, 2014.
3. Singh A., Lubecke V.M., “Respiratory monitoring and clutter rejection using a CW Doppler radar with passive RF tags,” IEEE Sensors Journal, vol. 12, no. 3, pp. 558-565, 2012.
4. Granhed M., Forssen K.G., “Sensor-activated transponder,” US Patent 20130194100A1, 1 August 2013.
5. Harzheim T., Muhmel M., Heuermann H., “A SFCW harmonic radar system for maritime search and rescue using passive and active tags,”. International Journal of Microwave and Wireless Technologies, vol. 13, pp. 691–707, 2021.
6. Kubina B., Romeu J., Mandel C., Schussler M., Jakoby R., “Quasi-chipless wireless temperature sensor based on harmonic radar,” Electronic Letters, vol. 50, no. 2, pp. 86-88, 2014.
7. Mondal S., Kumar D., Chahal P., “Recent advances and applications of passive harmonic RFID systems: A review,” Micromachines, vol. 12, no. 420, pp. 1-22, 2021.
8. Lehtola G.E., “RF receiver sensing by harmonic generation,” US Patent 7864107B1, 4 January 2011.

9. Mazzaro G.J., Martone A.F., McNamara D.M., “Detection of RF electronics by multitone harmonic radar” IEEE Trans. On Aerospace and Electronic Sys., vol. 50, no., pp. 477-490, 2014.
10. Gallagher K.A., “Harmonic Radar: Theory and Applications to Nonlinear Target Detection, Tracking, Imaging and Classification,” Ph.D. Dissertation, The Pennsylvania State University, University Park, PA, USA, December 2015.
11. Gallagher K.A., Narayanan R.M., Mazzaro G.J., Martone A.F., Sherbondy K.D., “Static and moving target imaging using harmonic radar,” Electronics, vol. 6, no. 30, pp. 1-20, 2017.
12. Bischeltsrieder F., Schreiber E., Peichl M., Heinzel A., Jirousek M., “High resolution harmonic radar imaging for safety and security applications,” Proceedings of SPIE Conference on Radar Sensor Technology XXIII, vol. 11003, pp. 1-18, Baltimore, MD, May 2019.
13. Lev-Ari H., Devaney A.J., “The time reversal techniques re-interpreted: Subspace-based signal processing for multistatic target location,” Proc. IEEE Sensor Array and Multichannel Signal Processing Workshop, pp. 509-513, Cambridge, MA, March 2000.
14. Devaney A.J., “Time reversal imaging of obscured targets from multistatic data,” IEEE Trans. Antennas Propag., vol. 53, no. 5, pp. 1600-1610, 2005.
15. Devaney A.J., Marengo E.A., Gruber F.K., “Time-reversal-based imaging and inverse scattering of multiple scattering points,” J. Acoust. Soc. Am., vol. 118, no. 5, pp. 3129-3138, 2005.
16. Prada C., Manneville S., Spoliansky D., Fink M., “Decomposition of the time reversal operator: Detection and selective focusing on two scatterers,” J. Acoust. Soc. Am., vol. 99, no. 4, pt. 1, pp. 2067-2076, 1996.
17. Marengo E.A., Gruber F.K., “Subspace-based localization and inverse scattering of multiply scattering point targets,” EURASIP Journal on Advances in Signal Processing, vol. 2007, article ID 17342, 2007, DOI: 10.1155/2007/17342.
18. Cuionzo D., Romano G., Solimene R., “Performance analysis of time-reversal MUSIC,” IEEE Trans. Signal Process., vol. 63, no. 10, pp. 2650-2662, 2015.
19. Gallagher K.A., Mazzaro G.J., Martone A.F., Sherbondy K.D., Narayanan R.M., “Derivation and validation of the nonlinear radar range equation,” Proceedings of SPIE Conference on Radar Sensor Technology Radar Sensor Technology XX, vol. 9829, Baltimore, MD, April 2016.