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Accurate PLL Characterization Using Virtuoso Spectre RF Noise ...

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16<br />

Non-linear VCO PPV Model<br />

•<br />

•<br />

α(t) is the phase deviation due to perturbation of the VCO and<br />

satisfies the nonlinear differential equation.<br />

Owing to the PPV, νT 1(t),<br />

oscillator phase deviations due to<br />

perturbations can be efficiently evaluated by solving the one–<br />

dimensional nonlinear differential equation (1).<br />

The PPV relates the changes in the circuit’s nodes voltages or<br />

currents to the VCO phase.<br />

September 17, 2007<br />

•<br />

α<br />

() t v n()<br />

t<br />

T<br />

= ∗<br />

1<br />

(10)

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