A radar transceiver includes a phase shifter that is controlled to apply an induced phase shift in a first subset of chirp signals of a frame of chirp signals, which also includes a second subset of chirp signals in which no phase shift is applied. Other circuitry generates digital signals based on received reflected signals, which are based on transmitted signals. Processing circuitry performs a Fast Fourier Transform (FFT) on a first subset of digital signals, corresponding to the first subset of chirp signals, to generate a first range-Doppler array, and performs a FFT on the second subset of digital signals, corresponding to the second subset of chirp signals, to generate a second range-Doppler array; identifies peaks in the first and second range-Doppler arrays to detect an object; and compares a phases of peaks at corresponding positions in the first and second range-Doppler arrays to determine a measured phase shift between the two peaks.