Simple formulas for the standard deviation that is available from Dopp
ler velocity estimators through the use of direct-detection frequency
discriminators for targets spread in range are derived and contrasted
with the fundamental limits provided by the Cramer-Rao bounds for both
direct-detection and heterodyne systems. The structures of these form
ulas is sufficiently similar to facilitate a meaningful comparison amo
ng the different systems and to provide a basis for the evaluation of
experimental performance.