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impulse sensitivity function for ring oscillators

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ppat2006

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does anybody know how to obtain impulse sensitivity function for single ended ring oscillators. the formula is

isf = f'(x)/[f'(x)2 + f''(x)2] where f'(x) is derivative of output voltage function
of ring osc and f''(x) is double derivative of output voltage function of ring osc.


for eg for colpitt osc, f(x) = sin(x) so we can calculate derivative and obtain isf plot.

so i dont know how to obtain f(x) for single ended 5 stage ring osc?
 

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