@inproceedings{48032801ef204453b400a57f683d0545,
title = "Fractional-Order Digital Filters of Complex Orders",
abstract = "This work introduces a new class of fractional-order digital filters of complex orders. The complex-order dynamics are first approximated by frequency-dependent minimum-phase continuous transfer functions within a frequency band. The indirect discretization method is then used to discretize the approximated form of the fractional-order Laplacian integro-differential variable of complex orders, s±α±jβ, to obtain a rational z-transfer function H(z±α±jβ). The positive (negative) complex orders of the fractional-order differentiators (integrators) provide a leading phase at high frequency, respectively, which add new features for a new class of filters and controllers of complex orders. The main points of this work are verified via numerical simulations.",
keywords = "Complex Orders, Digital Filters, fractional calculus, Fractional-order, Indirect discretization",
author = "Reyad El-Khazali",
note = "Publisher Copyright: {\textcopyright} 2024 IEEE.; 67th IEEE International Midwest Symposium on Circuits and Systems, MWSCAS 2024 ; Conference date: 11-08-2024 Through 14-08-2024",
year = "2024",
doi = "10.1109/MWSCAS60917.2024.10658871",
language = "British English",
series = "Midwest Symposium on Circuits and Systems",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "345--349",
booktitle = "2024 IEEE 67th International Midwest Symposium on Circuits and Systems, MWSCAS 2024",
address = "United States",
}