非線性振蕩器頻率占據(jù)現(xiàn)象的Volterra級(jí)數(shù)分析
ANALYSIS OF FREQUENCY PULLING USING VOLTERRA SERIES METHOD
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摘要: 本文應(yīng)用Volterra級(jí)數(shù)和諧波平衡技術(shù)分析了一個(gè)互感耦合非線性振蕩電路在外電動(dòng)勢作用下的頻率占據(jù)現(xiàn)象。導(dǎo)出了占據(jù)帶寬表達(dá)式。這種方法在建立好系統(tǒng)模型后只需進(jìn)行代數(shù)運(yùn)算,從而避開了求解非線性微分方程的復(fù)雜過程。
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關(guān)鍵詞:
- 非線性振蕩電路; Volterra級(jí)數(shù); 諧波平衡; 頻率占據(jù)
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. -
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(shù)基礎(chǔ)(下冊(cè)),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(cè)),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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