APPROXIMATE BOUNDS ON FREQUENCY ESTIMATES FOR SHORT CISOIDS IN COLORED NOISE

It is demonstrated that the Cramer-Rao lower bounds on frequency estim ates for shore data records containing cisoids in colored Gaussian noi se are well approximated by simple formulas based on a white noise ass umption, suitably modified to account for the local, noise levels at t he cisoidal frequencies. The approximations are accurate to within a f ew tens of percent, even for records with as few as ten data points, p rovided the noise spectra are reasonably smooth over frequency interva ls corresponding to 2(n)(-) times the reciprocal of the number of data points.