Title :
Stabilizing the fast Kalman algorithms
Author :
Botto, Jean-Luc ; Moustakides, George V.
Author_Institution :
TRT, Le Pleiss Robinson, France
fDate :
9/1/1989 12:00:00 AM
Abstract :
The fast Kalman algorithms are stabilized by introducing a quantity that measures the accumulation of the roundoff errors. This quantity is used to correct the variables of the algorithm at every time step. The correction is defined as the solution of a specific minimization problem. The resulting algorithm still has the nice complexity properties of the original algorithm (linear in the number of parameters to be estimated), but it has a much more stable behavior
Keywords :
Kalman filters; filtering and prediction theory; fast Kalman algorithms; filtering; minimization; roundoff errors; Acoustic signal processing; Adaptive control; Adaptive signal processing; Difference equations; Differential equations; H infinity control; Kalman filters; Parameter estimation; Roundoff errors; Signal processing algorithms;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on