In the case of a single sinusoid or multiple weD-separated sinusoids, a coarse estimator consisting of a windowed Fourier transform foDowed by a rme estimator which is an interpolator is a good approximation to an optimal frequency acquisition and measurement algorithm. The design tradeoffs are described, and for the fine frequency estimator it is shown that a simple and good method is to fit a Gaussian function to the fast Fourier transform (F�'T) peak and its two neighbors. This method is able to achieve a frequency standard-deviation and a frequency bias in the order of ouly a few percent of a bin. In the case of short-time stationarity a proper compromise between FTT length and number of averages has to be made. We show here that for IDlderate nUlmer of averages and for an adaptive threshold detector, only between 0.5 and 1 dB is lost when averaging is traded off for FFT length, as contrasted to the asymptotic result of 1.5 dB.The COSPAS-SARSAT satellite system for emergency detection and localization is used to illustrate the concepts described. It is based on emergency locator transmitters and emergency position indicating radio beacons existing prior to sateOite systelJL These beacons have spectra] characteristics that are nonideal for Doppler positiOning. The described algorithm is analyzed theoreticaJIy and good agreement is found with test results.