Design of FIR Fractional Forward Filters with Closed Formula

摘要

In this paper, a new approach to a finite impulse response (FIR) closed form design of the digital fractional forward filter is presented. The design is based on the approximation of the fractional order systems. First, closed form digital infinite impulse response (IIR) fractional forward filter implementation has been derived from the analog rational function approximation, in a given frequency band, of the fractional power zero (FPZ) through the Tustin generating function. Then, closed form digital FIR fractional forward filter by truncation of the digital IIR one has been obtained, which approximates the digital fractional forward operator z~α, for 0 < a < 0.5. Finally, an example has been presented to illustrate the effectiveness of the proposed design technique.