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Rao-Blackwellized Gaussian Filtering and Smoothing

This is an example Matlab implementation of the Rao-Blackwellized Gaussian filtering and smoothing algorithms introduced in:

  • R. Hostettler and S. Särkkä, “Rao–Blackwellized Gaussian smoothing,” IEEE Transactions on Automatic Control, vol. 64, no. 1, pp. 302–309, January 2019.

    [Link] [PDF]

The numerical example is implemented in the file rbgs_example.m, while the folder lib contains the algorithm implementation, helper functions, and implementations of the compared algorithms.

Known issues:

  • Iterative variants are not implemented.
  • Variants for non-additive noise are not implemented.
  • Defaults for the sigma-points in gf, gf_*, rbgf, and rbgf_* are missing.

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