Performance indicators of the correlation process for non ambiguous doppler frequency estimation in multiple PRF radars

This communication investigates the performance of alias-free Doppler frequency estimation in multiple Pulse Repetition Frequency radar systems. Three performance indicators are proposed for Doppler ambiguity resolution algorithms based on the use of a correlation interval of given width : probabilities of correlation, of false correlation and of false measurement. Under the assumption of Gaussian errors on the ambiguous frequencies estimates for each PRF, closed forms (function only of the interval width, the PRF values and the estimation variance on the ambiguous frequencies) are derived for these indicators. Some examples of the expected behavior of MPRF systems obtained with these indicators are presented and discussed.