Performance and design considerations of the Farrow filter when used for arbitrary resampling of sampled time series

The Farrow filter structure enables arbitrary resampling of a time series by employing low order piecewise polynomials to approximate segments of the impulse response of a prototype low-pass filter from which samples of an arbitrary interpolator filter can be computed. Alternatively, the coefficients of the approximating polynomials can be applied directly to the input data to form, a data dependent, polynomial series expansion of the input data which can, in turn, be evaluated at the desired sample points.