Fractional-order sinusoidal oscillators: Design procedure and practical examples

被引：241
|
作者：
Radwan, Ahmed Gomaa [1 ]
Elwakil, Ahmed S. [2 ]
Soliman, Ahmed M. [3 ]
机构：
[1] Cairo Univ, Fac Engn, Dept Engn Math, Cairo 12613, Egypt
[2] Univ Sharjah, Dept Elect & Comp Engn, Sharjah, U Arab Emirates
[3] Cairo Univ, Fac Engn, Dept Elect & Commun, Cairo 12613, Egypt
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2008年 / 55卷 / 07期
关键词：
fractional-order circuits; noninteger order systems; oscillators;
D O I：
10.1109/TCSI.2008.918196
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Sinusoidal oscillators are known to be realized using dynamical systems of second-order or higher. Here we derive the Barhkausen condition for a linear, noninteger-order (fractional-order) dynamical system to oscillate. We show that the oscillation condition and oscillation frequency of some famous integer-order sinusoidal oscillators can be obtained as special cases from general equations governing their fractional-order counterparts. Examples including fractional-order Wien oscillators, Colpitts oscillator, phase-shift oscillator and LC tank resonator are given supported by numerical and PSpice simulations.
引用
收藏
页码：2051 / 2063
页数：13
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