## barkhausen criterion for oscillator

well, i THINK that it can be applied , u neeed a positive feedback and a beta*A > 1 ,

for a positive feedback u need an odd number of inverting stages and for the gain u may think of the inverter stage as two common source amplifiers (i.e. gain stage) with a unity feedback then the beta*A>1 , then we have oscillation.

if we talk about the three inverter stages ring osc. each of the three stage gives a phase shift of 180 degrees (i.e. total phase shift of 270 degree) therefore we need another 180 degree for +ve feedback , since there r three poles at the o/p of each stage then each of the poles give a freq. dependent phase shift that will reach -270 degree at infinite freuency , and hence we can see that the -180 degree required happens at freq. < inf. therefore osc. ocuurs.

regards.

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