We investigate the ability of detection techniques based on the likeli
hood ratio to discriminate between heterodyne lidar Doppler estimates
at low signal levels using examples generated by simulation. The disti
nction between estimates that are regarded as acceptable and as spurio
us is based on the Cramer-Rao lower bound. The conditional false alarm
probability, which ordinarily describes recording detection of a sign
al when none is present, is then found to be an approximate upper boun
d on the probability of selection of a spurious estimate. The method i
s superior theoretically to similar techniques based on detection func
tions other than the likelihood ratio. The likelihood ratio also provi
des a basis for reprocessing rejected data in the light of contextual
information provided by those estimates that are accepted. (C) 1997 Op
tical Society of America.