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Posterior Cramér-Rao bounds analysis for passive target tracking

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Journal of Electronics (China)

Abstract

For the problem of deterministic parameter estimate, the theoretical lower bound of estimate error is the Cramér-Rao bound; while for random parameter, the lower bound of estimate error is generally termed by Posterior Cramér-Rao Bound (PCRB). Under the background of passive tracking where the target’s state can be seen as a time-varying random parameter, PCRB of the state estimate error is analyzed in this paper, and the relation between PCRB and varied condition is also fully investigated using different simulation examples. The presented analytical method provides a theoretical base for performance assessment of all kinds of suboptimal estimate algorithms used in practice.

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References

  1. Gong Xiangyi. The Study of challenge technology of single observer passive location and tracking using frequency rate and differential direction of arrival. [Ph.D. dissertation], National University of Defense Technology, Changsha, 2004, 32–34. 龚享铱. 利用频率变化率和波达角变化率单站无源定位与跟踪的关键技术研究. [博士学位论文], 国防科学技术大学, 长沙, 2004 年, 32–34.

    Google Scholar 

  2. K. Becker. Three-dimensional target motion analysis using angle and frequency measurements. IEEE Trans. on Aerospace and Electronic Systems, 41(2005)1, 284–301.

    Article  Google Scholar 

  3. P. Tichavský. Posterior Cramér-Rao bounds for adaptive harmonic retrieval. IEEE Trans. on Signal Processing, 43(1995)5, 1299–1302.

    Article  Google Scholar 

  4. N. Bergman. Recursive Bayesian estimation: Navigation and tracking applications. [Ph.D. dissertation], Linköping University, Sweden, 1999, 65–67.

    Google Scholar 

  5. P. Tichavský, C. H. Muravchik, and A. Nehorai. Posterior Cramér-Rao bounds for discrete-time nonlinear filtering. IEEE Trans. on Signal Processing, 46(1998)5, 1386–1396.

    Article  Google Scholar 

  6. Sun Zhongkang, Zhou Yiyu, and He Lixin. Active and passive location techniques with single/multiple observers. Beijing, National Defence Industry Press, 1996, 47–49. 孙仲康, 周一宇, 何黎星. 单多基地有源无源定位技术. 北京, 国防工业出版社, 1996年, 47–49.

    Google Scholar 

  7. Li Zonghua. Study on passive location and tracking technology for moving emitter using non-maneuvering single observer. [Ph.D. dissertation], National University of Defense Technology, Changsha, 2003, 18–20. 李宗华. 无机动单站对运动辐射源的无源定位跟踪技术研究. [博士学位论文], 国防科学技术大学, 长沙, 2003年, 18–20.

    Google Scholar 

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Correspondence to Zhan Ronghui.

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Zhang, J., Zhan, R. Posterior Cramér-Rao bounds analysis for passive target tracking. J. Electron.(China) 25, 84–88 (2008). https://doi.org/10.1007/s11767-006-0104-7

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  • DOI: https://doi.org/10.1007/s11767-006-0104-7

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