Floquet Eigenvectors Theory of Pulsed Bias Phase and Quadrature Harmonic Oscillators
نویسندگان
چکیده
منابع مشابه
Derivation of Floquet Eigenvectors Displacement for Optimal Design of LC Tank Pulsed Bias Oscillators
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 perturbation...
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We present an approximated and compact derivation of the mutual displacement of Floquet eigenvectors in a class of LC tank oscillators with time-varying bias. The paper refers to parallel tank oscillators in which the energy restoring can be modeled by current pulses controlled by the oscillation voltage. The goal is to show, for the proposed class, the possibility to guide the design of oscill...
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Pulsed bias is an attempt to improve the performance of oscillators in integrated circuits as a result of architectural innovation. Given the relatively low value of resonator quality factor achievable on-chip, for a specified bias voltage level, pulsed bias may result in a lower power consumption and in an improvement of the spectral purity of the oscillation. The main drawback of this approac...
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Lemma 8.4 If C is a n n × matrix with 0 det ≠ C , then, there exists a n n × (complex) matrix B such that C e = . Proof: For any matrix C , there exists an invertible matrix P , s.t. 1 P CP J − = , where J is a Jordan matrix. If C e = , then, 1 1 1 P B P B e P e P P CP J − − − = = = . Therefore, it is suffice to prove the result when C is in a canonical form. Suppose that 1 ( , , ) s C diag C C...
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ژورنال
عنوان ژورنال: Circuits and Systems
سال: 2012
ISSN: 2153-1285,2153-1293
DOI: 10.4236/cs.2012.31010