The correlation between the signals from the two antennas in a radio interferometer can be described by a complex correlation function. The real and imaginary parts of this function can be measured by a radiometer using two feedback loops to control four noise sources,

(positive, real),

(negative, real),

(positive, imaginary), and

(negative, imaginary). Theoretical analysis shows the system to be stable against amplifier gain fluctuations, and against moderate fluctuations in the phase shifts of the two amplification channels which are included in the system. Experimental verification is described in a following paper by Hubbard and Erickson [2].