All of the conventional CFAR detection algorithms that use space-time proce
ssing involve a time-consuming matrix-inversion operation, Based on today's
technology, this computational complexity sometimes makes the full-rank so
lution difficult to realize. In this correspondence, a CFAR detection algor
ithm, which does not need a matrix inversion, is developed by an adaptation
and extension of Hotelling's principal-component method studied recently b
y Kirsteins and Tufts. Finally, the performance of the new CFAR test statis
tic is analyzed, and the effect of the rank reduction on performance is eva
luated for an example scenario.