Nonlinear analysis of a cross-coupled quadrature harmonic oscillator

Torsten Djurhuus, Viktor Krozer, Jens Vidkjær, Tom Keinicke Johansen

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    Abstract

    The dynamic equations governing the cross-coupled quadrature harmonic oscillator are derived assuming quasi-sinusoidal operation. This allows for an investigation of the previously reported tradeoff between close-to-carrier phase noise and quadrature precision. The results explain how nonlinearity in the coupling transconductances, in conjunction with a finite amplitude relaxation time and de-tuning of the individual oscillators, cause close-to-carrier AM-to-PM noise conversion. A discussion is presented of how the theoretic results translate into design rules for quadrature oscillator ICs. SPECTRE RF simulations verify the developed theory.
    Original languageEnglish
    JournalI E E E Transactions on Circuits and Systems Part 1: Regular Papers
    Volume52
    Issue number11
    Pages (from-to)2276-2285
    ISSN1549-8328
    DOIs
    Publication statusPublished - 2005

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