A radar system comprises a set of transmitters and a processor coupled to the set of transmitters. The processor is configured to modulate a first portion of a chirp in a chirp frame according to a first phase. The processor is further configured to modulate a second portion of the chirp in the chirp frame according to a second phase and configured to combine the first and second portions of the chirp to produce a phase-modified chirp. The processor is further configured to instruct the set of transmitters to transmit the phase-modified chirp by applying time division multiple access (TDMA) and by directing radio frequency energy according to a target angle and a target gain.