The Fractional Orthogonal Difference with Applications

Enno Diekema
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Enno Diekema: Kooikersdreef 620, 7328 BS Apeldoorn, The Netherlands

Mathematics, 2015, vol. 3, issue 2, 1-23

Abstract: This 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.

Keywords: orthogonal difference; orthogonal polynomials; hypergeometric functions; Fourier transform; frequency response (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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