Recursive Implementation of FIR Differentiators with Optimum Noise Attenuation
Instrumentation and Measurement Technology Conference, 1996. IMTC-96. Conference Proceedings. 'Quality Measurements: The Indispensable Bridge between Theory and Reality'.,, 1, page 344--349. IEEE, (1996)DOI: 10.1109/imtc.1996.507404
Abstract
We introduce a computationally efficient recursive implementation
of digital FIR filters for estimating 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
upper-band 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