OPTIMIZATION OF THE SYNCHRONIZATION BANDWIDTH OF RATIONALLY SYNCHRONIZED OSCILLATORS BASED ON BIFURCATION CONTROL

In this work, a nonlinear technique for the optimization of the synchronization bandwidth of Rationally Synchronized Oscillators (RSO) is presented. The circuit is forced to operate near a Hopf bifurcation point which is created around the frequency of the input reference signal. Under this operating regime, the reference signal is strongly amplified and the synchronization bandwidth of the circuit is considerably improved. A 5-3 GHz rationally synchronized oscillator has been optimized using the proposed method. The manufactured RSO provides a 5 MHz synchronization bandwidth with a reference signal power of -22 dBm, in good agreement with simulation results.