Design of fractional order digital FIR differentiators using frequency response approximation

Abstract

Abstmcr-Inthis paper, we present a now! mcthod for the design of fractional order Flli tliffcrcntintors. Firstly, a fractional order diffcrcntintor (FOD) of power tligit;il signal is defined in tbe frcqucncy domain. Secondly, n FIR filtcr i s chosen to approximating to the ideal digit:il FOI) untlcr the weighting mean squarc error (hlSE) sense of the frcqucncy rcsponsc. Finally, dcsign csample and fractional dcriviitiyc simulation nrc given and the advantagcs of the proposed method are illustrated.