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	Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations
	Fan JianXing ; Yang HuaZhong ; Wang Hui ; Yan XiaoLang ; Hou ChaoHuan
	2010-05-06 ; 2010-05-06
关键词	phase noise periodic time-varying Sylvester theorem power-law spectrum Lorentzian spectrum Floquet exponent stochastic calculus MATHEMATICAL-ANALYSIS CIRCUITS SPECTRUM Computer Science, Information Systems
中文摘要	Phase noise analysis of an oscillator is implemented with its periodic time-varying small signal state equations by perturbing the autonomous large signal state equations of the oscillator. In this paper, the time domain steady solutions of oscillators are perturbed with traditional regular method; the periodic time-varying Jocobian modulus matrices are decomposed with Sylvester theorem, and on the resulting space spanned by periodic vectors, the conditions under which the oscillator holds periodic steady states with any perturbations are analyzed. In this paper, stochastic calculus is applied to disclose the generation process of phase noise and calculate the phase jitter of the oscillator by injecting a pseudo sinusoidal signal in frequency domain, representing the white noise, and a 5 correlation signal in time domain into the oscillator. Applying the principle of frequency modulation, we learned how the power-law and the Lorentzian spectrums are formed. Their relations and the Lorentzian spectrums of harmonics are also worked out. Based on the periodic Jacobian modulus matrix, the simple algorithms for Floquet exponents and phase noise are constructed, as well as a simple case is demonstrated. The analysis difficulties and the future directions for the phase noise of oscillators are also pointed out at the end.
语种	英语 ; 英语
出版者	SCIENCE CHINA PRESS ; BEIJING ; 16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/11771]
专题	清华大学
推荐引用方式 GB/T 7714	Fan JianXing,Yang HuaZhong,Wang Hui,et al. Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations[J],2010, 2010.
APA	Fan JianXing,Yang HuaZhong,Wang Hui,Yan XiaoLang,&Hou ChaoHuan.(2010).Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations..
MLA	Fan JianXing,et al."Phase noise analysis of oscillators with Sylvester representation for periodic time-varying modulus matrix by regular perturbations".(2010).

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