Fundamentals of Kalman Filtering and Applications to GNSS
Fundamentals of Kalman Filtering and Applications to GNSS
Fundamentals of Kalman Filtering and Applications to GNSS
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Convergence (cont.)<br />
• An example <strong>of</strong> a combined behavior patter for P(t)<br />
– Between <strong>and</strong> at the time <strong>of</strong> measurements<br />
• Notes<br />
1. Processing the measurement tends <strong>to</strong> reduce P<br />
2. The larger Q parameters are, the lower the overall estimation accuracy<br />
becomes<br />
3. System driving noise tends <strong>to</strong> increase P<br />
4. The damping in a stable system tends <strong>to</strong> reduce P<br />
5. An unstable system tends <strong>to</strong> increase P<br />
6. With white measurement noise, the time between samples can be shortened <strong>to</strong><br />
reduce P<br />
7. The behavior <strong>of</strong> P represents a composite <strong>of</strong> all these effects <strong>and</strong> <strong>of</strong>ten reaches<br />
a ―statistical equilibrium‖<br />
<strong>Kalman</strong> <strong>Filtering</strong> Consultant Associates © 2011<br />
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