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    Closed form solutions to forward-backward smoothing

    Access Status
    Fulltext not available
    Authors
    Vo, Ba-Ngu
    Vo, Ba Tuong
    Mahler, R.
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Vo, B. and Vo, B.T. and Mahler, R. 2012. Closed form solutions to forward-backward smoothing. IEEE Transactions on Signal Processing. 60 (1): pp. 2-17.
    Source Title
    IEEE Transactions on Signal Processing
    DOI
    10.1109/TSP.2011.2168519
    ISSN
    1053-587X
    URI
    http://hdl.handle.net/20.500.11937/42215
    Collection
    • Curtin Research Publications
    Abstract

    We propose a closed-form Gaussian sum smoother and, more importantly, closed-form smoothing solutions for increasingly complex problems arising from practice, including tracking in clutter, joint detection and tracking (in clutter), and multiple target tracking (in clutter) via the probability hypothesis density. The solutions are based on the corresponding forward-backward smoothing recursions that involve forward propagation of the filtering densities, followed by backward propagation of the smoothed densities. The key to the exact solutions is the use of alternative forms of the backward propagations, together with standard Gaussian identities. Simulations are also presented to verify the proposed solutions.

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