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MPhil thesis of Lo Chi Wa - Department of Electronic & Computer ...

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Gain mismatch (in %)Two oscillators start tooscillate independentlyTypical designThis proposed designPhase mismatch (in degree)Typical designThis proposed design% mismatch <strong>of</strong> varactorFig. 86 a) Amplitude mismatch with mismatch error in varactors; b) phase mismatch with mismatcherror in varactorsLimitationsThe proposed feedback mechanism to control the amplitude is achieved by changingthe effective capacitance in parallel to the source node. However, the capacitance inparallel can only lead the amplitude <strong>of</strong> oscillation to a closer-to-theoretical one. Thefeedback gain is finite and decreases as the amplitude increases, thus the amplitudecontrol is not perfect and there will exist a non-zero steady-state error in the amplitude.We can only reduce the amplitude error but cannot eliminate it. Similarly, we can onlyenhance the phase control mechanism to reduce the phase error due to the circuitmismatches but cannot completely cancel it.89

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