A statistical analysis of differential Doppler estimation is presented for acoustic sources with a harmonic spectrum. Our model for the sensor measurements includes a physics-based statistical model for the scattering of the wavefronts by the atmosphere. We derive the Cramer-Rao bound (CRB) on differential Doppler estimation as a function of the atmospheric conditions, the frequency of the source, and the range of the source. We apply the CRB result for several cases of interest with simulated and measured data.
['Richard J. Kozick', 'Brian M. Sadler']
Performance of Doppler estimation for acoustic sources with atmospheric scattering