A trick for accurate differentiation at low sampling rates(ネットワークプロセッサ,通信のための信号処理,符号理論,一般)

概要

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Digital differentiators are an important type of digital filters which find many applications in instrumentation and control. The performance of the available designs of digital differentiators is poor in the higher frequency band, as compared to that in the lower band. Therefore, for accurate differentiation, the input signal needs to be sampled at higher sampling rates, to restrict the signal have all the information in the lower frequency band. Higher sampling rate needs higher computational and storage burden, and moreover, in certain cases, we don't have control over the sampling frequency. A possible solution could be upsampling the signal before feeding it to the differentiator; however, upsampling would introduce its own inaccuracies. In this paper, we study digital differentiators more closely, and find the minimum sampling rates that would ensure determination of derivatives at higher accuracies. The effect of the inaccuracies introduced by upsampling, on the output of the differentiator is also investigated.
社団法人電子情報通信学会の論文
2006-02-27