Abstract
Fractional forward filters modeling non-integer advances are digital filters, which ideally have flat group delays. This paper proposes a new, simple and efficient FIR filter design method to approximate the fractional phase advance operator zν. The design technique is based on the MacLaurin series expansion formula, which is applied to a discrete fractional system to obtain a closed form FIR digital filter approximation the digital ideal fractional phase advance operator zν \({(}\nu \in \,\Re^{ + } {)}\)n. Some numerical examples have been presented to illustrate the performance and the effectiveness of this new design method and its use in performing a low order digital differentiator. Some comparisons results show that the proposed design yields better performances compared to the existing techniques.
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Bensouici, T., Assadi, I., Charef, A. (2022). A New Analytical Design Approach of Fractional Phase Advance Operator. In: Brito Palma, L., Neves-Silva, R., Gomes, L. (eds) CONTROLO 2022. CONTROLO 2022. Lecture Notes in Electrical Engineering, vol 930. Springer, Cham. https://doi.org/10.1007/978-3-031-10047-5_49
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DOI: https://doi.org/10.1007/978-3-031-10047-5_49
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