Accurate PLL Characterization Using Virtuoso Spectre RF Noise ...
Accurate PLL Characterization Using Virtuoso Spectre RF Noise ... Accurate PLL Characterization Using Virtuoso Spectre RF Noise ...
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)
- Page 1 and 2: INVENTIVE Using Spectre RF Noise-Aw
- Page 3 and 4: 3 • • • Introduction Phase lo
- Page 5 and 6: 5 Challenges of PLL Simulation •
- Page 7 and 8: 7 V R Spectre RF Noise-Aware PLL Si
- Page 9 and 10: 9 PLL Model Extraction Flow • •
- Page 11 and 12: 11 September 17, 2007 PLL testbench
- Page 13: 13 Non-Linear VCO Modeling • •
- Page 17 and 18: 17 SpectreRF’s PPV-based VCO Mode
- Page 19 and 20: 19 • • • Strengths of Spectre
- Page 21 and 22: 21 Using Spectre RF Noise-Aware PLL
- Page 23 and 24: 23 September 17, 2007 PPV versus tr
- Page 25 and 26: 25 PLL Noise-Aware Flow Experimenta
- Page 27 and 28: 27 Conclusions • • • • Cade
- Page 29 and 30: 29 References • • • • • [
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]).