A modified generalized likelihood ratio test (MGLRT) fur the adaptive detec
tion of a target or targets that are distributed in range is derived, The u
nknown parameters associated with the hypothesis test are the complex ampli
tudes in range of the desired target and the unknown covariance matrix of t
he additive interference, which is assumed to be characterized as complex z
ero-mean correlated Gaussian random variables. The target's or targets' com
plex amplitudes are assumed to be distributed across the entire input data
block (sensor x range). Results on probabilities of false alarm and detecti
on are derived, and a bounded constant false alarm rate (CFAR) detector is
developed. Simulation results are presented. it is shown that the derived M
GLRT of range distributed targets is much more effective in detecting targe
ts distributed in range than an M out of K detector, which is cascaded with
a single-point target Kelly detector.