The general theory of MST radar observations of gravity wave spectra is developed in this paper. This effort extends the previous results to include anisotropy and Doppler effects for the spectra, as well as the consequences for the multibeam configuration. The relationships between the observed one- or two-dimensional spectra for the line-of-sight velocity in the gravity wave spectra are derived. Expressions for cross spectra, as well as covariances between velocities observed on different beams, are computed. Using these results, studies are carried out to show how model parameters for gravity wave spectra can be estimated from the observed quantities. Model parameters include the variance, power-law indices, anisotropy parameters, Doppler parameters, mean scale sizes, etc. Cases with different numbers of beams will be investigated.
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