Abstract
Abstract. Variance of horizontal wind estimates in conditions of anisotropic scattering are obtained for the Spaced Antenna (SA) Full Correlation Analysis (FCA) method of Holloway et al. (1997b) and Doviak et al. (1996), but are equally applicable to the Briggs method of FCA. Variance and covariance of cross-correlation magnitudes are theoretically estimated, and the standard theory of error propagation is used to estimate the variance of the wind components for the infinite SNR case. The effect of baseline orientation is investigated, and experimental data from the MU radar in Japan is presented.
Highlights
In the VHF band the most common methods of radar wind profiling are by Doppler Beam Swinging (DBS) and the Spaced Antenna (SA) technique
In this paper we presented analytical solutions to the variance of wind estimates, applicable to two Full Correlation Analysis (FCA)-based SA techniques
The results hold for anisotropic conditions and are derived from the FCA analysis method of Doviak et al (1996) and Holloway et al (1997a), using cross-correlation function magnitude estimation, as per Zhang et al (2003)
Summary
In the VHF band the most common methods of radar wind profiling are by Doppler Beam Swinging (DBS) and the SA technique. In this paper we present the estimated variance of horizontal wind components for general anisotropic scattering, under which conditions the orientation of the baselines to the wind, as well as the orientation of the correlation ellipse, is arbitrary. If all ten 26.2-s fitted curves agreed with the 262-s fitted curve to within the 95% confidence limits, the 262-s fitted curves can be considered characteristic of the atmospheric refractive index fluctuations over the 262-s time interval, and the data can be considered stationary. We describe the variance of horizontal wind components in terms of the un-normalized cross-correlation function CCF and auto-correlation function ACF magnitudes, following the example of Zhang et al (2003).
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