Description: The methodological foundations for estimating the target's radial velocity using coherent bursts of radio pulses in accordance with the case of investigating the correlation functions of the initial phases of radio pulses, reflected from targets, have been considered in the article on the basis of the radar theory. The signals at the input of the radar’s receiver is an additive mixture of signals reflected from the targets, and uncorrelated Gaussian noise, that is the assumption of investigating. The Doppler shifts of the signals’ frequency reflected from the targets are carried out by the criterion of the natural logarithm maximum for likelihood ratio of the random non-informative parameters averaged over all possible values have been estimated. It is assumed, that the phase fluctuations of the received radio pulses bursts are distributed according to normal probability laws with zero mean, and correlations of phase fluctuations decrease with exponential or alternating, sign-variable laws by increasing interval between radio pulses within the bursts. The probability density distributions of the random components of the phase difference of the symmetrical radio pulses of the burst are obtained. Optimal estimations of the targets’ radial velocities are associated with the estimation of the data on the phase differences of the signals have been shown. Taking into account the fluctuations of the initial phases of the radio pulses of the received bursts during the measurement of the targets’ radial velocity makes it possible to improve characteristics of efficiency for surveillance radar operating with complex, less visible and maneuvering targets. It is also provided the possibility of optimizing the time-frequency processing of radar signals in coherent pulse radars.
Keywords: coherent burst of radio pulses, radial velocity, correlated fluctuations, initial phase, Gaussian noise, likelihood ratio, optimal measurement, radar surveillance