Performance bounds for estimation under uncertainty

  • Authors:
  • Mohamed Z. Dajani

  • Affiliations:
  • -

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1974

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Abstract

For the class of linear Gauss-Markov systems with binary parameters uncertainty, the minimum variance estimate of the state and associated covariance of error expressions were derived in a closed form in [1, 2]. In this paper expressions for the conditional and unconditional covariances of error matrices are presented for the M-ary case. Useful upper and lower bounds for the unconditional covariance of error are also presented which are valid, on the average, for any measurement sequence. A geophysical seismic data filtering example applying these results is also given.