The Fractional Orthogonal Difference with Applications
AbstractThis paper is a follow-up of a previous paper of the author published in Mathematics journal in 2015, which treats the so-called continuous fractional orthogonal derivative. In this paper, we treat the discrete case using the fractional orthogonal difference. The theory is illustrated with an application of a fractional differentiating filter. In particular, graphs are presented of the absolutel value of the modulus of the frequency response. These make clear that for a good insight into the behavior of a fractional differentiating filter, one has to look for the modulus of its frequency response in a log-log plot, rather than for plots in the time domain. View Full-Text
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Diekema, E. The Fractional Orthogonal Difference with Applications. Mathematics 2015, 3, 487-509.
Diekema E. The Fractional Orthogonal Difference with Applications. Mathematics. 2015; 3(2):487-509.Chicago/Turabian Style
Diekema, Enno. 2015. "The Fractional Orthogonal Difference with Applications." Mathematics 3, no. 2: 487-509.