lernentation of FIR Differ ptimum Noise Attenuation
Olli Vainio, Markku Renfors, Tapio Saramalu · 1997
?Abstruct- We introduce a computationally efficient recursive imp~e~en~a~ion of digital finite impulse response (FIR) filters for es~i~a~~ng the rate of change or slope of digitized signals, The proposed FIR differentiator is characterized by the optimal attenuation of white noise and an efficient suppression of upperband frequencies. The basic structure needs only one multiplier, which becomes a power of two with an appropriate selection of the length of the impulse response. The structure does not need resetting and recovers from any bit errors. For long filters, sampling rate reduction by decimation gives further computational savings. Index Terms-Differentiation, digital filter wordlength effects, finite inipulse response (FIR) digital filters.