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Nonlinear analysis of a cross-coupled quadrature harmonic oscillator

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4 Author(s)
Djurhuus, T. ; Dept. of Electromagn. Syst., Tech. Univ. of Denmark, Lyngby, Denmark ; Krozer, V. ; Vidkjaer, J. ; Johansen, T.K.

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.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:52 ,  Issue: 11 )