GENERAL EXPRESSIONS OF DERIVATIVE-CONSTRAINED LINEAR-PHASE TYPE-I FIR FILTERS

Abstract

In this paper, we propose a novel structure of linear-phase type-I FIR filters. The structure consists of a linear combination of some basic filters, called the cardinal filters. The weighting coefficients are exactly the derivatives of the amplitude response at omega = 0. We solve a closed-form recurrence relationship between the filter coefficients. Implementation of the cardinal filters is discussed.