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A Linear Multisensor PHD Filter Using the Measurement Dimension Extension Approach

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Advances in Swarm Intelligence (ICSI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6729))

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Abstract

The common probability hypothesis density (PHD) fiter is derived under the single sensor condition. The multisensor PHD (MPHD) filter is remarkably complex and thus is impractical to use. Mahler proposed a MPHD filter under the assumption of independence of all senors. This paper studies the linear multisensor-multitarget system. We propose a linear multisensor probability hypothesis density (LMPHD) filter. By combining measurement dimension extension (MDE) approach, we consider linear correlation of all sensors. A simulation is finally proposed to verify the effective of the L-MPHD filter.

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References

  1. Mahler, R.P.S.: Multitarget Bayes Filtering via First-Order Multitarget Moments. IEEE Transactions on Aerospace and Electronic systems 39(4), 1152–1178 (2003)

    Article  Google Scholar 

  2. Vo, B., Singh, S., Doucet, A.: Sequential Monte Carlo implementation of the PHD filter for multi-target tracking. In: Proceedings of the International Conference on Information Fusion, Cairns, Australia, pp. 792–799 (2003)

    Google Scholar 

  3. Sidenbladh, H.: Multi-target particle filtering for the probability hypothesis density. In: Proceedings of the International Conference on Information Fusion, Cairns, Australia, pp. 800–806 (2003)

    Google Scholar 

  4. Zajic, T., Mahler, R.: A particle-systems implementation of the PHD multitarget tracking filter. In: Signal Processing, Sensor Fusion, and Target Recognition XII, pp. 291–299 (2003)

    Google Scholar 

  5. Vo, B.-N., Ma, W.-K.: The Gaussian Mixture Probability Hypothesis Density Filter. IEEE Transactions on signal processing 54(11), 4091–4104 (2006)

    Article  Google Scholar 

  6. Punithakumar, K., Kirubarajan, T., Sinha, A.: Multiple-model probability hypothesis density filter for tracking maneuvering targets. IEEE Transactions on Aerospace and Electronic Systems 44(1), 87–88 (2008)

    Article  Google Scholar 

  7. Vo, B.N., Pasha, A., Tuan, H.D.: A Gaussian mixture PHD filterr for nonlinear jump Markov models. In: Proceedings of the 45th IEEE Conference on Decision and Control, pp. 3162–3166. IEEE, San Diego (2006)

    Chapter  Google Scholar 

  8. Nandakumaran, N., Punithakumar, K., Kirubarajan, T.: Improved multi-target tracking using probability hypothesis density smoothing. In: Drummond, O.E. (ed.) Proc. Signal and Data Processing of Small Targets, vol. 6699 (August 2007)

    Google Scholar 

  9. Erdinc, O., Willet, P., Bar-Shalom, Y.: A Physical-Space Approach for the Probability Hypothesis Density and Cardinalized Probability Density Filters. In: Signal and Data Processing of Small Targets, Proc. of SPIE, vol. 6236, pp. 1–12 (2006)

    Google Scholar 

  10. Mahler, R.: PHD filters of higher order in target number. IEEE Trans. Aerosp. Electron. Syst. 43(3), 1523–1543 (2007)

    Article  Google Scholar 

  11. Vo, B.-T., Vo, B.-N., Cantoni, A.: Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter. IEEE Transactions on Signal Processing 55(7), 3553–3567 (2007)

    Article  MathSciNet  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Liu, W., Wen, C. (2011). A Linear Multisensor PHD Filter Using the Measurement Dimension Extension Approach. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds) Advances in Swarm Intelligence. ICSI 2011. Lecture Notes in Computer Science, vol 6729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21524-7_60

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  • DOI: https://doi.org/10.1007/978-3-642-21524-7_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21523-0

  • Online ISBN: 978-3-642-21524-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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