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article · Defense Technical Information Center (DTIC) · 1985

The Bayesian Approach to Recursive State Estimation: Implementation and Application.

Stuart Kramer

Cited by 0Abstract and details only

Abstract

In Bayesian estimation, the objective is to calculate the complete density function for an unknown quantity conditioned on noisy observations of that quantity. This work considers recursive estimation of a nonlinear discrete-time system state using successive observations. The formal recursion for the density function is easily written, but generally there is no closed form solution. The numerical solution proposed here is obtained by modifying the recursion and using a simple piece-wise constant approximation to the density functions. The critical part of the algorithm then becomes a discrete linear convolution that can be realized using FFT's. Keywords: error analysis; and parameter estimation.

Cite this paper

APA 7

Kramer, S. (1985). The Bayesian Approach to Recursive State Estimation: Implementation and Application. Defense Technical Information Center (DTIC).

MLA 9

Kramer, Stuart. “The Bayesian Approach to Recursive State Estimation: Implementation and Application.” Defense Technical Information Center (DTIC), 1985.

Chicago

Kramer, Stuart. 1985. “The Bayesian Approach to Recursive State Estimation: Implementation and Application.” Defense Technical Information Center (DTIC).

Harvard

Kramer, S. (1985) ‘The Bayesian Approach to Recursive State Estimation: Implementation and Application’, Defense Technical Information Center (DTIC).

BibTeX
@article{kramer1985bayesian,
  title = {{The Bayesian Approach to Recursive State Estimation: Implementation and Application.}},
  author = {Kramer, Stuart},
  journal = {Defense Technical Information Center (DTIC)},
  year = {1985}
}

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