用攝動(dòng)法定量研究二階鎖相環(huán)的非線(xiàn)性性能
A QUANTITATIVE RESEARCH OF NONLINEAR BEHAVIOUR OF A SECOND-ORDER PHASE-LOCKED LOOP BY PERTURBATION METHOD
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摘要: 為了獲得相干啾聲信號(hào),在壓控振蕩器上進(jìn)行線(xiàn)性調(diào)頻,用鎖相環(huán)鎖定起始頻率的相位。對(duì)于高增益二階環(huán),當(dāng)環(huán)路參數(shù)和調(diào)頻率滿(mǎn)足條件01時(shí),調(diào)頻得以實(shí)現(xiàn)且環(huán)路無(wú)須斷開(kāi)。 本文將環(huán)路方程變換為近于線(xiàn)性的微分方程,用攝動(dòng)法給出其漸近解析解,從而獲得了環(huán)路對(duì)調(diào)頻波形影響的定量關(guān)系。計(jì)算機(jī)模擬結(jié)果與理論分析基本吻合。
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關(guān)鍵詞:
Abstract: It is found that the linear frequency modulation is used on a voltage-controlled oseillator and a phase-locked loop to lock its starting-frequency phase for generating a coherent chirp signal. For a high-gain second-order loop, the loop parameters and the modulating frequency rate must be chosen to satisfy the condition, O 1, and then it is possible to realize the FM on the VCO, while the loop is not necessarily broken during FM pulse.In this paper, the PLL' s equation is transformed into a nearly linear differential equation and its asymptotic solution is given by perburbation metho. Thus, the quantitative relationships about the effects of the PLL on the LFM waveform are obtained. Finally, results of simulation by means of computer show good agreement with the theoretical analysis. -
W. C. Lindaey and M. K. Simon, Phase-Locked Loop Their Application, IEEE Press. 1977, p.1-4.[2]鄭繼禹,萬(wàn)心平,張厥盛,鎖相環(huán)路原理與應(yīng)用,人民郵電出版社,1976年(第一版),第85-118頁(yè).[3]B. D. Campbell, IEEE Trans. on AES, AES-6(1970), 62.[4]Shuttle Synthetic Aperture Radar Implementation Study, Vol. 1, Mar. 8. 1976, NASA-CR-147775.[6]O. E. Cook and M. Bernfeld, Radar Signals, An Introduction to Theory and Application, dcade. mic Press, New York-London 1967, Chapter 8 -
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