Sampled signals differentiation using a frequency corrected difference quotient therms

Abstract

The work discusses the methodology of designing finite impulse response differential filters. The filters require combining a difference quotient term of a proper order with a low-pass correction term responsible for the correction of the difference quotient term characteristic and elimination of measurement and quantization noise. The filters well approximate the characteristic of ideal differentiating elements in the low frequency range. All calculations were executed in “Mathematica”.