具有相位和频率独立控制的分数阶振荡器

L. Said, A. Madian, A. Radwan, A. Soliman
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引用次数: 9

摘要

本文将基于运算跨阻放大器(OTRA)的振荡器的概念推广到分数阶域。分数阶设计中的附加参数在实际应用中具有重要意义,可以对传统电容器的非理想性进行建模。根据电路元件和分数阶参数,解析导出了振荡的一般条件和频率。介绍了基于额外分数阶参数的不同特殊情况,其中一些特征只出现在分数阶电路中。通过该电路,相位和频率可以通过分数阶参数单独控制。给出了不同分数阶振子的数值和Spice仿真结果来验证解析公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fractional order oscillator with independent control of phase and frequency
This paper generalizes the concept of the oscillators based on the operational transresistance amplifier (OTRA) into the fractional order domain. The added parameter in the fractional-order design is an important in practical and can model the non-ideality of the conventional capacitors. The general condition and frequency of oscillation have been derived analytically in terms of the circuit components and the fractional order parameters. Different special cases are introduced based on the extra fractional-order parameters in which some features are appeared in the fractional-order circuit only. Through the proposed circuit, the phase and frequency can be controlled individually via the fractional order parameters. Numerical and Spice simulation results of different fractional-order oscillators are presented to validate the analytical formulas.
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