Circuits and Systems

Volume 2, Issue 4 (October 2011)

ISSN Print: 2153-1285   ISSN Online: 2153-1293

Google-based Impact Factor: 0.48  Citations  

Derivation of Floquet Eigenvectors Displacement for Optimal Design of LC Tank Pulsed Bias Oscillators

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DOI: 10.4236/cs.2011.24043    4,970 Downloads   8,181 Views  Citations

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ABSTRACT

The paper presents an approximated and compact derivation of the mutual displacement of Floquet eigenvectors in a class of LC tank oscillators with time varying bias. In particular it refers to parallel tank oscillators of which the energy restoring can be modeled through a train of current pulses. Since Floquet eigenvectors are acknowledged to give a correct decomposition of noise perturbations along the stable orbit in oscillator's space state, an analytical and compact model of their displacement can provide useful criteria for designers. The goal is to show, in a simplified case, the achievement of oscillators design oriented by eigenvectors. To this aim, minimization conditions of the effect of stationary and time varying noise as well as the contribution of jitter noise introduced by driving electronics are deduced from analytical expression of eigenvectors displacement.

Share and Cite:

S. Perticaroli, N. Luli and F. Palma, "Derivation of Floquet Eigenvectors Displacement for Optimal Design of LC Tank Pulsed Bias Oscillators," Circuits and Systems, Vol. 2 No. 4, 2011, pp. 311-319. doi: 10.4236/cs.2011.24043.

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