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

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

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a) Vob) Vcsc) Igm122113233Fig. 74 (a) Output voltage <strong>of</strong> LC oscillator; (b) Common source voltage; (c) Current flow into gm cell.(1) without capacitor or common source node connection (2) with capacitor (3) with connectionIn addition to providing larger amplitude and better phase noise, connecting the twocurrent sources can also maintain the matching <strong>of</strong> the amplitudes <strong>of</strong> the two coupledoscillators. For example, oscillator A has larger output amplitude and oscillator B hassmaller output amplitude due to the unmatched LC tanks. Since oscillator B has smalleramplitude, it cannot store and release too much current for oscillator A. Oscillator Awill see oscillator B as a small-value capacitor as shown in Fig. 75. On the contrary,oscillator B will see oscillator A as a large-value capacitor. As shown in Fig. 76, whenthe differential output is large, smaller voltage ripples at the common source node andlarger peak current pulse are observed for oscillator B (T2) as compared to those foroscillator A (T1). The amplitudes <strong>of</strong> both oscillators will be increased due to theparallel capacitors but the amplitude <strong>of</strong> oscillator B will be increased more due to alarger capacitor connected. This mechanism can reduce the amplitude mismatch <strong>of</strong> theoscillator due to the mismatch between the two LC tanks. Both increase in amplitude80

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