A Simple and Accurate Formula for Oscillating Amplitude of CMOS LC Differential Oscillator

Nikorn Hen-ngam, Jirayuth Mahattanakul


The conventional formula for the oscillation amplitude of the CMOS LC differential oscillator was derived under the assumption that the current from sourced coupled pair flowing though LC tank is a square wave. This is not in line with the real situation and the obtained formula is independent of the MOSFET parameters. In this paper, aderivation of a simple and accurate expression for oscillating amplitude of CMOS LC differential oscillator in which the current from sourced coupled pair is assumed to be clipped sinusoid is presented. By comparing to the simulation results, it was found that the new expression of oscillating amplitude is more accurate than the widely used conventional expression.

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