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Stabilization and regularization in time-domain inverse filtering

Makowski R.A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

1998

Vol. 46, nr 2

219-232

Problems dealt with an inverse filtering in the time domain are the general objective of the study. A prerequisite to obtain a satisfactory inverse filtering result of a noisy output signal for a nonminimum-phase system is the stabilization and regularization of the inverse filter. In the paper, two algorithms have been proposed for inverse filter stabilization, both leading to the noncausality of the inverse filter. A new method of regularization is suggested, which consists in correcting the locations of the poles for the inverse filter transmittance. An inherent advantage of the method is that regularization is performed at the stage of inverse filtering, thus enabling elimination of an additional regularization step.