Title :
Digital filters as absolute norm regularizers
Author :
Alliney, Stefano
Author_Institution :
Istituto de Matematica Gen. e Rinanziaria, Bologna Univ., Italy
fDate :
6/1/1992 12:00:00 AM
Abstract :
A variational formulation of the digital filtering problem, based on a certain regularizing functional, is presented. In particular, the special case where the regularizing functional is defined by means of l1-norm is considered and a characterization of its minima is presented. It is shown that, for a certain class of signals, one solution to the regularization problem can be obtained by means of a suitable recursive median filter. Some examples and a possible extension of the variational approach are also discussed
Keywords :
digital filters; filtering and prediction theory; variational techniques; absolute norm regularizers; digital filtering; digital filters; l1-norm; recursive median filter; regularizing functional; variational formulation; Conferences; Digital filters; Filtering theory; Frequency domain analysis; Low pass filters; Mathematical model; Physics; Potential energy; Power engineering and energy;
Journal_Title :
Signal Processing, IEEE Transactions on
