@inproceedings{27f996f839a7471d9973837ca4615f4f,
title = "Performance analysis of fractional-order digital phase-locked loops",
abstract = "A new type of fractional-order digital phase-locked loops (FoDPLLs) is proposed. They comprise a fractional-order digital controlled oscillator (FoDCO) and a new form of fractional-order filters (FoF). The FoDPLLs are obtained by discretizing the continuous fractional differential operators using a closed-form solution. These operators generate biquadratic rational z-transfer functions, which yield robust and stable 4th-order FoDPLLs. This represents a significant order reduction over other discretization methods. The proposed operators reduce the design of the FoDPLLs to selecting only four parameters; the loop gain, the filter time constant, and the orders of both the FoF and the FoDCO. The performances of the analog and digital phase-locked loops are thoroughly investigated and illustrated via several numerical examples.",
keywords = "Digital-Phase Locked Loop, Discretization, Fractional Calculus, Fractional-Order, Phase-Locked Loop, Stability",
author = "R. El-Khazali and N. Tawalbeh and O. Al-Khatib and I. Abushawish",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 ; Conference date: 23-06-2014 Through 25-06-2014",
year = "2014",
month = nov,
day = "25",
doi = "10.1109/ICFDA.2014.6967414",
language = "British English",
series = "2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Dumitru Baleanu and Machado, \{J.A. Tenreiro\}",
booktitle = "2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014",
address = "United States",
}