Open AccessFractional-order LβCαLow-Pass Filter Circuit
Author(s) -
Rui Zhou,
Run-Fan Zhang,
Diyi Chen
Publication year - 2015
Publication title -
journal of electrical engineering and technology/journal of electrical engineering and technology
Language(s) - English
Resource type - Journals
eISSN - 2093-7423
pISSN - 1975-0102
DOI - 10.5370/jeet.2015.10.4.1597
Subject(s) - filter (signal processing) , low pass filter , butterworth filter , high pass filter , constant k filter , frequency domain , lc circuit , filter design , all pass filter , control theory (sociology) , mathematics , electronic engineering , topology (electrical circuits) , computer science , engineering , mathematical analysis , electrical engineering , capacitor , control (management) , combinatorics , voltage , artificial intelligence
This paper introduces the fundamentals of the conventional LC low-pass filter circuit in the fractional domain. First, we study the new fundamentals of fractional-order LC low-pass filter circuit including the pure real angular frequency, the pure imaginary angular frequency and the short circuit angular frequency. Moreover, sensitivity analysis of the impedance characteristics and phase characteristics of the LC low-pass filter circuit with respect to the system variables is studied in detail, which shows the greater flexibility of the fractional-order filter circuit in designs. Furthermore, from the filtering property perspective, we systematically investigate the effects of the system variables (LC, frequency f and fractional orders) on the amplitude-frequency characteristics and phase-frequency characteristics. In addition, the detailed analyses of the cut-off frequency and filter factor are presented. Numerical experimental results are presented to verify the theoretical results introduced in this paper.