Harmonic Optimization of Rationally Synchronized Oscillators

A new optimization technique is presented for the design of synchronized oscillators with a rational ratio between the input- and output-frequency. The synchronization bandwidth is increased through the generation of the optimum harmonic components of the oscillator- and the input-signal by means of a multi-harmonic load. The synchronization loci are calculated for different values of these harmonic components by means of the use of an auxiliary generator. A 5–3.75 GHz rationally synchronized oscillator has been designed and optimized to obtain a maximum synchronization bandwidth, obtaining a good agreement between the simulated and experimental results.