Generalized feed-forward filters: some theoretical results

• Authors: Tomás Oliveira e Silva
• Venue: ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
• Year: 1993

This paper presents some new theoretical results concerning a generalization of the transversal filter, called generalized feed-forward filter, where the unit delay of the tapped delay line is substituted by a general transfer function. A new method of computing the partial derivatives of a performance function with respect to the tap-to-tap transfer function parameters in generalized feed-forward filters is presented. Its application to the particular case of the gamma filter [1, 2] results in an analytic method of computing the best value of µ (a parameter that controls the memory depth of the filter), and in an explanation of the peculiar structure of the squared error performance function. The theoretical results are illustrated by an example.