Aa. Agbodjan et Sc. Rutan, OPTIMIZATION OF AN ADAPTIVE KALMAN FILTER BASED ON INFORMATION-THEORY, Chemometrics and intelligent laboratory systems, 24(2), 1994, pp. 137-144
An adaptive Kalman filter is described which can be optimized, even if
the location of the required overlap-free region is not known a prior
i. The optimization is based on maximizing the information yield from
the filter procedure, and the results with the highest precision and a
ccuracy are found when the information is at a maximum. The informatio
n-based optimization is also used to demonstrate that more precise fil
tering is accomplished with higher point densities, and that an optima
l filter window exists, depending on the spectral resolution and the s
ampling frequency. Simulations based on a grid search and on simplex o
ptimization give similar results.