A Modified Y-Parameters Approach for Analyzing Strongly Coupled Oscillator Arrays
Date Issued
2014
Date
2014
Author(s)
Lo, Yu-Tsung
Abstract
In this thesis, a modified Y-parameters approach is proposed to model the behavior of coupled oscillator arrays (COA’s). A better behavior model enables us to investigate a large oscillator array with random free-running frequency distribution by using Monte-Carlo simulation. A coupling network with tunable coupling strength is proposed, so the phenomena of a COA under different coupling strengths can be observed. The parameters of oscillators and the coupling network are obtained based on the TSMC 0.18 μm process, and their Y parameters are extracted around 10 GHz for numerical solution. The governing equation of the proposed Y parameters approach is solved by using fourth-order Runge-Kutta method. The results are verified with full-circuit simulations and compared to other behavior models, including the Adler’s equation and the conventional Y-parameters approach. Our approach provides better accuracy than other behavior models as well as saves much simulation time comparing to full-circuit simulation. Our proposed method is applied to estimate the maximum allowable number of oscillators that can be synchronized. We discover that stronger couple leads to a larger allowable size up to 11. Since our approach is a time domain model,it provides easy check of stability as well as enable us to observe the frequency transition of the COA during the synchronization process. The inter-element phase shift of a COA is controlled by tuning the free-running frequencies of oscillators at both ends. We propose a phase injection scheme to synchronize multiple COA’s by injection and control the signal with variable phase to the center oscillator of each COA. Hence, the effective maximum
number of oscillators can be significantly increased.
Subjects
震盪器陣列
相位陣列
耦合
蒙地卡羅分析
Type
thesis
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