Title :
A frequency domain approach to the problems of H∞-minimum error state estimation and deconvolution
Author :
Shaked, Uri ; Theodor, Yahali
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel-Aviv Univ., Ramat-Aviv, Israel
fDate :
12/1/1992 12:00:00 AM
Abstract :
The properties of the minimum H∞-norm filtering estimation error are investigated, and the relation between the optimal estimator and the equalizing solution to the standard H ∞-minimization problem is discussed. The optimal estimation method is applied in the multivariable deconvolution problem. A simple deconvolution filter of minimum order which minimizes the H ∞-norm of the deconvolution error is obtained. The proposed methods of optimal estimation and deconvolution are useful in cases where the statistics of the disturbance and the noise signals is not completely known, or in cases where it is required to minimize the maximum singular value of the estimation, or the deconvolution, error problem
Keywords :
filtering and prediction theory; frequency-domain analysis; signal processing; state estimation; H∞-minimum error state estimation; frequency domain approach; minimum H∞-norm filtering estimation error; multivariable deconvolution problem; optimal estimation; Deconvolution; Estimation error; Filtering; Frequency domain analysis; Frequency estimation; H infinity control; Image reconstruction; Noise measurement; Nonlinear filters; State estimation;
Journal_Title :
Signal Processing, IEEE Transactions on
