Abstract: An FMCW radar system in which the patterns of chirp pairs for master and slave radar devices are selected such that when one of the chirps in a chirp pair (A, B) from the master coincides in time with one of the chirps in a chirp pair (C, D) from the slave, the other chirps in those pairs do not coincide in time. This allows for background subtraction and for the slave to self-synchronise to the master by detecting an in-band tone in the difference between spectral responses obtained by mixing signals from the master and the slave at the times of the slave's chirps, and driving that tone, once detected, to a particular set point.