The arithmetic of receiver scheduling for electronic support

In Electronic Support, it is well known that periodic search strategies for swept-frequency superheterodyne receivers (SHRs) can cause synchronisation with the radar it seeks to detect. Synchronisation occurs when the periods governing the search strategies of the SHR and radar are commensurate. The result may be that the radar is never detected. This paper considers the synchronisation problem in depth. We find that there are usually a finite number of synchronisation ratios between the radar’s scan period and the SHR’s sweep period. We develop three geometric constructions by which these ratios can be found and we relate them to the Farey series. The ratios may be used to determine the intercept time for any combination of scan and sweep period. This theory can assist the operator of an SHR in selecting a sweep period that minimises the intercept time against a number of radars in a threat emitter list