Real Time Doppler Superresolution Radar

A phase Doppler radar system may comprise a pulse Doppler receiver/transmitter (R/T) subsystem coupled with a processing subsystem. The system may determine target velocity and target detection events by collecting pulses from the pulse Doppler R/T subsystem, determine an undifferentiated phase of each of the pulses, differentiate the pulses, and determine a differentiated phase of each of the pulses. The system may perform a linear fit of the differentiated phases of the pulses to produce a slope and an intercept. The system may determine a set of initial estimates of coefficients of a nonlinear fit equation. The system may perform iterations of a nonlinear least squares fit, beginning with the initial coefficient estimates, to produce a non-linear fit result. The system may determine a goodness-of-fit (GoF) statistic associated with the nonlinear fit result, and declare a detection event when the GoF is superior to a GoF statistic associated Gaussian noise.