%0 Journal Article %1 citeulike:9169203 %A Vainio, O. %A Renfors, M. %A Saramaki, T. %D 1997 %J IEEE Transactions on Instrumentation and Measurement %K 94a20-sampling-theory 65d25-numerical-differentiation 93e11-filtering-in-stochastic-control-theory %N 5 %P 1202--1207 %R 10.1109/19.676743 %T Recursive implementation of FIR differentiators with optimum noise attenuation %U http://dx.doi.org/10.1109/19.676743 %V 46 %X We introduce a computationally efficient recursive implementation of digital finite impulse response (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

@article{citeulike:9169203, abstract = {{We introduce a computationally efficient recursive implementation of digital finite impulse response (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}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Vainio, O. and Renfors, M. and Saramaki, T.}, biburl = {https://www.bibsonomy.org/bibtex/2953c2d189dd040c2c7f31191353c4e95/gdmcbain}, citeulike-article-id = {9169203}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/19.676743}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=676743}, comment = {(private-note)cited by Kavanagh (2001) for his DIFF1 differentiator}, doi = {10.1109/19.676743}, interhash = {1c6d18cc2f8b1718a9fb2bd31f66a907}, intrahash = {953c2d189dd040c2c7f31191353c4e95}, issn = {00189456}, journal = {IEEE Transactions on Instrumentation and Measurement}, keywords = {94a20-sampling-theory 65d25-numerical-differentiation 93e11-filtering-in-stochastic-control-theory}, month = oct, number = 5, pages = {1202--1207}, posted-at = {2011-04-18 01:40:36}, priority = {2}, timestamp = {2021-03-03T01:53:20.000+0100}, title = {{Recursive implementation of FIR differentiators with optimum noise attenuation}}, url = {http://dx.doi.org/10.1109/19.676743}, volume = 46, year = 1997 }