On the stability of the problem of modified Wiener filtering

The application of the Tikhonov regularization method in the problem of modified Wiener filtering of signals by means of discrete orthogonal transformations is investigated. Regularization parameters for different discrete orthogonal transformations (DOTs) are found. Specific features of a Wiener filter depending on the spectral components are determined for different DOTs. Errors of recovery of the filtered signal with and without regularization are evaluated. These estimates demonstrate that a signal recovered by the Tikhonov regularization method is closer to the original signal than the signal recovered without the use of the regularization method. © 2011 by Begell House, Inc.