General expressions of derivative-constrained linear-phase type-I FIR filters
Peng‐Hua Wang, Bo-You Yu, Po‐Ning Chen · 2013
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 ω = 0. We solve a closed-form recurrence relationship between the filter coefficients. Implementation of the cardinal filters is discussed.