The constant-time discontinuity map is presented and used to compute the nonlinear effects of quantization noise injected in fractional-N phase locked loops by ΔΣ modulators. The effects of quantization noise are studied through sensitivity analysis of the nominal trajectory of a noiseless integer-N phase locked loop with respect to a small additive perturbation. It is shown that, to accurately measure the effects of quantisation noise injection, a simple linearized model is not sufficient. A nonlinear constant-time discontinuity map across the switching points of the vector field allows the sensitivity analysis to be significantly improved, at a small computational cost.

Constant-time discontinuity map for forward sensitivity analysis to initial conditions: Spurs detection in fractional-N PLL as a case study

Bizzarri, Federico;Brambilla, Angelo;Colombo, Alessandro;
2017

Abstract

The constant-time discontinuity map is presented and used to compute the nonlinear effects of quantization noise injected in fractional-N phase locked loops by ΔΣ modulators. The effects of quantization noise are studied through sensitivity analysis of the nominal trajectory of a noiseless integer-N phase locked loop with respect to a small additive perturbation. It is shown that, to accurately measure the effects of quantisation noise injection, a simple linearized model is not sufficient. A nonlinear constant-time discontinuity map across the switching points of the vector field allows the sensitivity analysis to be significantly improved, at a small computational cost.
Proceedings - IEEE International Symposium on Circuits and Systems
9781467368520
Electrical and Electronic Engineering
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1035641
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