Nonlinear Noise Effects in Syncronized Oscillators

A nonlinear theory of noise in synchronized oscillators is outlined, thus extending Kurokawa´s work /1/ from small to arbitrary injection levels. As a first application the output noise of synchronized oscillators is calculated for moderate injection signals. It is shown both theoretically and experimentally that the output noise increases for high injection levels. Secondly the FM-noise in two mutually synchronized oscillators is investigated. For moderate coupling a considerable decrease in the output noise is predicted. This result is confirmed by measurements. Finally the applicability of the nonlinear noise theory for analysing sub-harmonically synchronized oscillators is briefly outlined.