Design of polynomial interpolation filters based on Taylor series

Interpolation filters are used to interpolate new sample values at arbitrary time instants between the existing discrete-time samples. Interpolation filters utilizing polynomial-based interpolation can be efficiently implemented using the Farrow structure. This paper introduces a new method for designing Farrow-structured interpolation filters. The proposed synthesis method is based on the relationship between the Farrow structure and the Taylor series of the interpolating continuous-time signal formed based on the existing sample values.