Bayesian Estimation and the Kalman Filter

Report
Authors:Barker, Allen, Institute for Parallel ComputationUniversity of Virginia Brown, Donald, Institute for Parallel ComputationUniversity of Virginia Martin, Worthy, Institute for Parallel ComputationUniversity of Virginia
Abstract:

In this tutorial article we give a Bayesian derivation of a basic state estimation result for discrete-time Markov process models with independent process and measurement noise and measurements not affecting the state. We then list some properties of Gaussian random vectors and show how the Kalman filtering algorithm follows from the general state estimation result and a linear-Gaussian model definition. We give some illustrative examples including a probabilistic Turing machine, dynamic classification, and tracking a moving object.

Rights:
All rights reserved (no additional license for public reuse)
Language:
English
Source Citation:

Barker, Allen, Donald Brown, and Worthy Martin. "Bayesian Estimation and the Kalman Filter." University of Virginia Institute for Parallel Computation Tech Report (1994).

Publisher:
University of Virginia, Institute for Parallel Computation
Published Date:
1994