A companion analysis of clock jitter and phase noiseof single-ended and differential ring oscillators is presented. Theimpulse sensitivity functions are used to derive expressions for thejitter and phase noise of ring oscillators. The effect of the numberof stages, power dissipation, frequency of oscillation, and short-channel effects on the jitter and phase noise of ring oscillators isanalyzed. Jitter and phase noise due to substrate and supply noiseis discussed, and the effect of symmetry on the upconversion of 1/f noise is demonstrated. Several new design insights are givenfor low jitter/phase-noise design. Good agreement between theoryand measurements is observed.
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