非線性振蕩器頻率占據(jù)現(xiàn)象的Volterra級數(shù)分析
ANALYSIS OF FREQUENCY PULLING USING VOLTERRA SERIES METHOD
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摘要: 本文應用Volterra級數(shù)和諧波平衡技術分析了一個互感耦合非線性振蕩電路在外電動勢作用下的頻率占據(jù)現(xiàn)象。導出了占據(jù)帶寬表達式。這種方法在建立好系統(tǒng)模型后只需進行代數(shù)運算,從而避開了求解非線性微分方程的復雜過程。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]張肅文,非線性振蕩引論,高等教育出版社,北京1983年,第三、四章.[4]管致中等,無線電技術基礎(下冊),高等教育出版社,北京,1973年,第七章.[5]謝嘉奎等,電子線路(上冊),高等教育出版社,北京,1985年,第94頁.[6]L. O. Chua, C. Y. Ng, IEE. J. Eleltronic Circuit Syst.,3(1979) 2, 257-269. -
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