Influence of lowpass filter on input sensitivity of 1/2 regenerative frequency divider

It is found that Miller´s classical analysis of 1/2 regenerative frequency dividers produces large errors in cases where low-order loop filters are used. The infeasibility of 1/2 dividers with first-order lowpass filters is demonstrated. An accurate analytical expression is proposed for the input sensitivity of a 1/2 divider with a second- and a third-order lowpass filter, based on the application of the harmonic balance technique