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In this paper a novel nonlinear analysis and design approach for VCOs based on modeling the circuit in the higher-dimensional state space is presented. Using the center manifold theorem, we reduce the higher-dimensional system to a two dimensional parameter dependent nonlinear system that maintains the dynamics of the higher-dimensional system. By applying the Andronov-Hopf bifurcation analysis to...
In this work we present a novel approach for a non-linear systematic design flow for integrated VCO circuits based on the Andronov Hopf bifurcation analysis and perturbation theory. The approach allows to make an estimation of the tuning range, a stability analysis and a nonlinear calculation of the amplitude before the actual design phase. With our approach the VCO can be optimized regarding the...
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