Design of Fractional order Recursive Digital Differentiator using Continued Fraction Expansion
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2016, Vol 4, Issue 7
Abstract
In this paper, new discretized models of fractional order differentiator (FOD) based on different operators are proposed. Specifically in this work, one-third and one-fourth order differentiator models based on Simpson operator, Rectangular operator and Tustin operator have been derived. The implementation of fractional order digital differentiator requires two steps. In the first step, an integer order digital differentiator is designed then in second step continued fraction expansion (CFE) is used to obtain an efficient fractional order digital differentiator. The proposed one-third and one-fourth order differentiator approximates the ideal one-third and one-fourth order differentiator reasonably well over the entire Nyquist frequency range.
Authors and Affiliations
Naval Kishor Chaudhary , Vijaya Bhandari
Keywords
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