The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
PHD filters of higher order in target number
Abstract
The multitarget recursive Bayes nonlinear filter is the theoretically optimal approach to multisensor-multitarget detection, tracking, and identification. For applications in which this filter is appropriate, it is likely to be tractable for only a small number of targets. In earlier papers we derived closed-form equations for an approximation of this filter based on propagation of a first-order multitarget moment called the probability hypothesis density (PHD). In a recent paper, Erdinc, Willett, and Bar-Shalom argued for the need for a PHD-type filter which remains first-order in the states of individual targets, but which is higher-order in target number. In this paper we show that this is indeed possible. We derive a closed-form cardinalized PHD (CPHD) filter, which propagates not only the PHD but also the entire probability distribution on target number.
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Citations
Cites
An Introduction to the Theory of Point Processes
Daley, D. J., & Vere-Jones, D. (2008) · Probability and Its Applications · doi:10.1007/978-0-387-49835-5 · Cited by 3,351
Multitarget bayes filtering via first-order multitarget moments
Mahler, R. P. S. (2003) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2003.1261119 · Cited by 2,235
Self-citationStatistical Multisource-Multitarget Information Fusion
Mahler, R. (2007) · Cited by 2,024
Self-citationThe Gaussian Mixture Probability Hypothesis Density Filter
Vo, B.-N., & Ma, W.-K. (2006) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2006.881190 · Cited by 1,919
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Sequential monte carlo methods for multi-target filtering with random finite sets
Vo, B.-N., Singh, S., & Boucet, A. (2005) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2005.1561884 · Cited by 1,216
Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter
Vo, B.-T., Vo, B.-N., & Cantoni, A. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.894241 · Cited by 824
Handbook of multisensor data fusion
Hall, D. L., & Llinas, J. (2001) · CRC Press eBooks · Cited by 784
An introduction to the theory of point processes
Rota, G.-C. (1989) · Advances in Mathematics · doi:10.1016/0001-8708(89)90024-8 · Cited by 753
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Self-citation
Cited by
The cardinality balanced multi-target multi-Bernoulli filter and its implementations
Vo, B.-T., Vo, B.-N., & Cantoni, A. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2008.2007924 · Cited by 851
Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter
Vo, B.-T., Vo, B.-N., & Cantoni, A. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.894241 · Cited by 824
Message Passing Algorithms for Scalable Multitarget Tracking
Meyer, F., Kropfreiter, T., Williams, J. L., Lau, R., Hlawatsch, F., Braca, P., & Win, M. Z. (2018) · Proceedings of the IEEE · doi:10.1109/jproc.2018.2789427 · Cited by 355
A Scalable Algorithm for Tracking an Unknown Number of Targets Using Multiple Sensors
Meyer, F., Braca, P., Willett, P., & Hlawatsch, F. (2017) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2017.2688966 · Cited by 230
Soldi, G., Gaglione, D., Forti, N., Millefiori, L. M., Braca, P., Carniel, S., Simone, A. D., Iodice, A., Riccio, D., Daffina, F. C., et al. (2021) · IEEE Aerospace and Electronic Systems Magazine · doi:10.1109/maes.2021.3070884 · Cited by 44
Metadata
- Authors
- Mahler, R.
- Venue
- IEEE Transactions on Aerospace and Electronic Systems
- Published
- 2007
- Volume
- 43
- Issue
- 99
- Pages
- 1523-1543
- ISSN
- 0018-9251 (ISSN-L)
- OpenAlex
- W2105905583
- Cited by
- 1,020
- References
- 28
- FWCI
- 27.58
- Type
- journal article
- Language
- en
- Open access
- closed
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