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We focus on the effect of Doppler ambiguities on target tracking with airborne GMTI radar. Even after platform motion compensation by STAP techniques, GMTI tracking proves to be a challenging task. Unless appropriately handled, Doppler blindness can cause serious problems, which seem to be even more difficult in the presence of Doppler ambiguities producing multiple clutter notches. We develop an appropriately modified GMTI sensor model and evaluate its impact on the GMTI tracking process. By this approach the minimum detectable velocity (MDV) and the pulse-repetition frequency (PRF) explicitly enter into the GMTI tracking algorithms.