Accurate PLL Characterization Using Virtuoso Spectre RF Noise ...

Accurate PLL Characterization Using Virtuoso Spectre RF Noise ... Accurate PLL Characterization Using Virtuoso Spectre RF Noise ...

29.03.2013 Views

14 • • • Non-Linear VCO Modeling Two main approaches are available and provide the same information: – – September 17, 2007 Impulse Sensitivity Function ISF ([1], [2], [3]). Perturbation Projection Vector PPV ([1], [4]). The two models are tightly related by further observing the definitions of ISF and PPV. ISF defines the phase sensitivity to state variables. PPV represents the time sensitivity to the state variables ([1], [6]). PPV is a more mathematical and precise method of describing the VCO and is valid for all classes of oscillators contrarily to ISF ([5]).

15 Effect of Noise and Perturbation on an Oscillator September 17, 2007 Phase Deviation New State x (t) Orbital Deviation Steady-State xs(t)

14<br />

•<br />

•<br />

•<br />

Non-Linear VCO Modeling<br />

Two main approaches are available and provide the same<br />

information:<br />

–<br />

–<br />

September 17, 2007<br />

Impulse Sensitivity Function ISF ([1], [2], [3]).<br />

Perturbation Projection Vector PPV ([1], [4]).<br />

The two models are tightly related by further observing the<br />

definitions of ISF and PPV. ISF defines the phase sensitivity to state<br />

variables. PPV represents the time sensitivity to the state variables<br />

([1], [6]).<br />

PPV is a more mathematical and precise method of describing the<br />

VCO and is valid for all classes of oscillators contrarily to ISF ([5]).

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