Direct Target Joint Detection and Tracking Based on Passive Multi-Static Radar
Abstract
:1. Introduction
- A novel likelihood function for the DJDT of a target is proposed.
- The particle Bernoulli filter-based target DJDT approach is proposed.
- An algorithm for the joint estimation of the target kinematic states and channel coefficients is proposed.
2. Background
3. The Proposed Method
3.1. The CAF-Based Likelihood
3.2. Bernoulli Filter Based DJDT
Algorithm 1: The proposed Bernoulli-DJDT approach |
4. Simulation
4.1. Simulated Scenario
4.2. Results
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Appendix A. The GLRT-Based Likelihood
References
- Griffiths, H.D.; Baker, C.J. An Introduction to Passive Radar; Artech House: Norwood, MA, USA, 2022. [Google Scholar]
- Baker, C.; Griffiths, H.; Papoutsis, I. Passive coherent location radar systems. Part 2: Waveform properties. IEE Proc. Radar Sonar Navig. 2005, 152, 160–168. [Google Scholar] [CrossRef]
- ATSC-A/153; ATSC-Mobile Television Standard, Part 2-RF/Transmission System Characteristics. Advanced Television Systems Committee, Inc.: Washington, DC, USA, 2011.
- Tan, D.K.; Sun, H.; Lu, Y.; Lesturgie, M.; Chan, H.L. Passive radar using global system for mobile communication signal: Theory, implementation and measurements. IEE Proc. Radar Sonar Navig. 2005, 152, 116–123. [Google Scholar] [CrossRef]
- Kuschel, H.; Heckenbach, J.; Muller, S.; Appel, R. On the potentials of passive, multistatic, low frequency radars to counter stealth and detect low flying targets. In Proceedings of the 2008 IEEE Radar Conference, Rome, Italy, 26–30 May 2008; pp. 1–6. [Google Scholar]
- Robey, F.; Fuhrmann, D.; Kelly, E.; Nitzberg, R. A CFAR adaptive matched filter detector. IEEE Trans. Aerosp. Electron. Syst. 1992, 28, 208–216. [Google Scholar] [CrossRef] [Green Version]
- Klein, M.; Millet, N. Multireceiver passive radar tracking. IEEE Aerosp. Electron. Syst. Mag. 2012, 27, 26–36. [Google Scholar] [CrossRef]
- Daun, M.; Koch, W. Multistatic target tracking for non-cooperative illuminating by DAB/DVB-T. In Proceedings of the OCEANS 2007—Europe, Aberdeen, UK, 18–21 June 2007; pp. 1–6. [Google Scholar]
- Hack, D.E.; Patton, L.K.; Himed, B.; Saville, M.A. Detection in Passive MIMO Radar Networks. IEEE Trans. Signal Process. 2014, 62, 2999–3012. [Google Scholar] [CrossRef]
- Hack, D.E.; Patton, L.K.; Himed, B.; Saville, M.A. Centralized Passive MIMO Radar Detection Without Direct-Path Reference Signals. IEEE Trans. Signal Process. 2014, 62, 3013–3023. [Google Scholar]
- Jauffret, C.; Bar-Shalom, Y. Track formation with bearing and frequency measurements in clutter. IEEE Trans. Aerosp. Electron. Syst. 1990, 26, 999–1010. [Google Scholar] [CrossRef]
- Malanowski, M.; Kulpa, K.; Suchozebrski, R. Two-stage tracking algorithm for passive radar. In Proceedings of the 2009 12th International Conference on Information Fusion, Seattle, WA, USA, 6–9 July 2009; pp. 1800–1806. [Google Scholar]
- Bozdogan, A.O.; Soysal, G.; Efe, M. Multistatic tracking using bistatic range-Range rate measurements. In Proceedings of the 2009 12th International Conference on Information Fusion, Seattle, WA, USA, 6–9 July 2009; pp. 2107–2113. [Google Scholar]
- So, H.; Ching, P.; Chan, Y. A new algorithm for explicit adaptation of time delay. IEEE Trans. Signal Process. 1994, 42, 1816–1820. [Google Scholar] [CrossRef]
- Amar, A.; Weiss, A.J. Localization of Narrowband Radio Emitters Based on Doppler Frequency Shifts. IEEE Trans. Signal Process. 2008, 56, 5500–5508. [Google Scholar] [CrossRef]
- Weiss, A.J. Direct Geolocation of Wideband Emitters Based on Delay and Doppler. IEEE Trans. Signal Process. 2011, 59, 2513–2521. [Google Scholar] [CrossRef]
- Vu, P.; Haimovich, A.M.; Himed, B. Direct tracking of multiple targets in MIMO radar. In Proceedings of the IEEE 2016 50th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, 6–9 November 2016; pp. 1139–1143. [Google Scholar]
- Yin, X.; Pedersen, T.; Blattnig, P.; Jaquier, A.; Fleury, B.H. A single-stage target tracking algorithm for multistatic DVB-T passive radar systems. In Proceedings of the IEEE 13th Digital Signal Processing Workshop and 5th IEEE Signal Processing Education Workshop, Marco Island, FL, USA, 4–7 January 2009; pp. 518–523. [Google Scholar]
- Sidi, A.Y.; Weiss, A.J. Delay and Doppler Induced Direct Tracking by Particle Filter. IEEE Trans. Aerosp Electron Syst. 2014, 50, 559–572. [Google Scholar] [CrossRef]
- Sun, M.; Xia, W.; Wang, Y. Direct Target Tracking by Distributed Gaussian Particle Filtering Based on Delay and Doppler. In Proceedings of the 14th IEEE International Conference on Signal Processing, Beijing, China, 12–16 August 2018; pp. 58–63. [Google Scholar]
- Xia, W.; Sun, M.; Wang, Q. Direct Target Tracking by Distributed Gaussian Particle Filtering for Heterogeneous Networks. IEEE Trans. Signal Process. 2020, 68, 1361–1373. [Google Scholar] [CrossRef]
- Chen, Y.; Wei, P.; Li, G.; Zhang, H.; Liao, H. Emitter Tracking via Direct Target Motion Analysis. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 2022, E105.A, 1522–1536. [Google Scholar] [CrossRef]
- Liu, J.; Li, H.; Himed, B. Two Target Detection Algorithms for Passive Multistatic Radar. IEEE Trans. Signal Process. 2014, 62, 5930–5939. [Google Scholar] [CrossRef]
- Hack, D.E. Passive MIMO Radar Detection; Air Force Institute of Technology: Wright-Patterson Air Force Base, OH, USA, 2013. [Google Scholar]
- Ristic, B.; Vo, B.T.; Vo, B.N.; Farina, A. A tutorial on Bernoulli filters: Theory, implementation and applications. IEEE Trans. Signal Process. 2013, 61, 3406–3430. [Google Scholar] [CrossRef]
- Farina, A. Tracking function in bistatic and multistatic radar systems. IEE Proc. F Commun. Radar Signal Process. 1986, 133, 630. [Google Scholar] [CrossRef]
- Goodman, N.R. Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction). Ann. Math. Stat. 1963, 34, 152–177. [Google Scholar] [CrossRef]
- Alireza, M.S.; Bhaskar, D.R. A Covariance-Based Superpositional CPHD Filter for Multisource DOA Tracking. IEEE Trans. Signal Process. 2018, 66, 309–323. [Google Scholar]
- Stein, S. Differential delay/Doppler ML estimation with unknown signals. IEEE Trans. Signal Process. 1993, 41, 2717–2719. [Google Scholar] [CrossRef]
- Mahler, R.P. Advances in Statistical Multisource-Multitarget Information Fusion; Artech House: Norwood, MA, USA, 2014. [Google Scholar]
- Vo, B.T.; See, C.M.; Ma, N.; Ng, W.T. Multi-sensor joint detection and tracking with the Bernoulli filter. IEEE Trans. Aerosp. Electron. Syst. 2012, 48, 1385–1402. [Google Scholar] [CrossRef]
- Choi, S.; Crouse, D.F.; Willett, P.; Zhou, S. Approaches to Cartesian Data Association Passive Radar Tracking in a DAB/DVB Network. IEEE Trans. Aerosp. Electron. Syst. 2014, 50, 649–663. [Google Scholar] [CrossRef]
- Boers, Y. Multitarget particle filter track before detect application. IEE Proc. Radar Sonar Navig. 2004, 151, 351–358. [Google Scholar] [CrossRef]
- Kelly, E. An Adaptive Detection Algorithm. IEEE Trans. Aerosp. Electron. Syst. 1986, AES-22, 115–127. [Google Scholar] [CrossRef] [Green Version]
- Kay, S.M.M. Fundamentals of Statistical Signal Processing, Vol. II: Detection Theory; Prentice Hall PTR: Upper Saddle River, NJ, USA, 1993. [Google Scholar]
- Bialkowski, K.S.; Clarkson, I.V.L.; Howard, S.D. Generalized canonical correlation for passive multistatic radar detection. In Proceedings of the 2011 IEEE Statistical Signal Processing Workshop (SSP), Nice, France, 28–30 June 2011; pp. 417–420. [Google Scholar]
- Horn, R.A.; Johnson, C.R. Matrix Analysis; Cambridge University Press: Cambridge, UK, 2012. [Google Scholar]
- Cui, G.; Liu, J.; Li, H.; Himed, B. Signal detection with noisy reference for passive sensing. Signal Process. 2015, 108, 389–399. [Google Scholar] [CrossRef]
- Fazlollahpoor, M.; Derakhtian, M.; Khorshidi, S. Rao Detector for Passive MIMO Radar With Direct-Path Interference. IEEE Trans. Aerosp. Electron. Syst. 2020, 56, 2999–3009. [Google Scholar] [CrossRef]
- De Maio, A. Rao Test for Adaptive Detection in Gaussian Interference With Unknown Covariance Matrix. IEEE Trans. Signal Process. 2007, 55, 3577–3584. [Google Scholar] [CrossRef]
Algorithm | Time [s] |
---|---|
Bernoulli GL-DJDT | 141.2 |
Bernoulli CAF-DJDT | 150.3 |
Bernoulli two-step method | 124.0 |
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Chen, Y.; Wei, P.; Zhang, H.; You, M.; Li, W. Direct Target Joint Detection and Tracking Based on Passive Multi-Static Radar. Remote Sens. 2023, 15, 624. https://doi.org/10.3390/rs15030624
Chen Y, Wei P, Zhang H, You M, Li W. Direct Target Joint Detection and Tracking Based on Passive Multi-Static Radar. Remote Sensing. 2023; 15(3):624. https://doi.org/10.3390/rs15030624
Chicago/Turabian StyleChen, Yiqi, Ping Wei, Huaguo Zhang, Mingyi You, and Wanchun Li. 2023. "Direct Target Joint Detection and Tracking Based on Passive Multi-Static Radar" Remote Sensing 15, no. 3: 624. https://doi.org/10.3390/rs15030624
APA StyleChen, Y., Wei, P., Zhang, H., You, M., & Li, W. (2023). Direct Target Joint Detection and Tracking Based on Passive Multi-Static Radar. Remote Sensing, 15(3), 624. https://doi.org/10.3390/rs15030624