A Generalized Theoretical Analysis of Cross-correlation and Cross-spectra for Spaced-antenna Wind Profilers
Doviak, R. J., R. J. Lataitis, C. L. Holloway, and J. Van Baelen, 1994: A Generalized Theoretical Analysis of Cross-correlation and Cross-spectra for Spaced-antenna Wind Profilers. NCAR Technical Note NCAR/TN-407+STR, doi:10.5065/D6N014G4.
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In the analysis of data obtained from SA systems, the most common approach is to assume models of the diffraction pattern without relating it to the statistical properties of the scattering'media (e.g. Briggs and Vincent, 1992). To better understand the fundamental principles and limitations of spacedantenna theory, we develop a formulation which relates the properties of the refractive index field (e.g., its spatial spectrum) and its advecting flow (e.g., uniform or turbulent) to the cross-correlation of the diffraction pattern of the scattered field and, consequently, the cross-correlation and cross-spectra of echoes in spaced receivers.