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

• 作者: Fabrizio Palma Nikend Luli Stefano Perticaroli
• 来源期刊: 电路与系统(英文)
• 学科: 数学
• 关键词: FLOQUET EIGENVECTORS Noise Decomposition PULSED BIAS OSCILLATOR OSCILLATOR Phase Noise
• 年，卷（期）: 2011,（4）
• 页码范围: 311-319
• 页数: 9页
• 分类号: O1

摘要

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.