非线性振荡器频率占据现象的Volterra级数分析
ANALYSIS OF FREQUENCY PULLING USING VOLTERRA SERIES METHOD
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摘要: 本文应用Volterra级数和谐波平衡技术分析了一个互感耦合非线性振荡电路在外电动势作用下的频率占据现象。导出了占据带宽表达式。这种方法在建立好系统模型后只需进行代数运算,从而避开了求解非线性微分方程的复杂过程。Abstract: The analysis of frequency pulling phenomena occurred in mutual inductive coupling oscillator under a sinewave signal injection by using Volterra series method is presented. The frequency pulling width is finally obtained. When the model of a system has been established, one needs only to perform algebraic operations, thereby, the complicated process of solving nonlinear differential equations is avoided.
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M. Schetzen, The Volterra and Wiener Theories of Nonlinear System,New York: Wiley, (1980) Chap. 2.[2]T. Parker, L. O. Chua, IEEE Trans. on CAS, CAS-30(1983) 8, 519-533.[3]张肃文,非线性振荡引论,高等教育出版社,北京1983年,第三、四章.[4]管致中等,无线电技术基础(下册),高等教育出版社,北京,1973年,第七章.[5]谢嘉奎等,电子线路(上册),高等教育出版社,北京,1985年,第94页.[6]L. O. Chua, C. Y. Ng, IEE. J. Eleltronic Circuit Syst.,3(1979) 2, 257-269. -
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