A new expression for oscillating amplitude of CMOS LC differential oscillator

In this paper, a new expression for oscillating amplitude of CMOS LC differential oscillator is derived. Contrary to the conventional expression which was derived by assuming that the current from sourced coupled pair flowing though LC tank is a square wave, the proposed expression is derived by assuming that such current is a clipped sinusoidal, which is more in line with the real situation. 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.