Statistical errors in the determination of wind velocities by the spaced antenna technique

Details Statistical errors in the determination of wind velocities by the spaced antenna technique Statistical errors in the determination of wind velocities by the spaced antenna technique

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jatp...50...21m&link_type=abstract

Journal of Atmospheric and Terrestrial Physics (ISSN 0021-9169), vol. 50, Jan. 1988, p. 21-32.

Physics

11

Error Analysis, Radar Imagery, Statistical Analysis, Wind Velocity Measurement, Autocorrelation, Cross Correlation, Numerical Weather Forecasting, Random Errors, Signal Reception

Scientific paper

This paper is concerned with the statistical errors which are presented when wind velocities in the atmosphere are determined by the radar method known as the spaced antenna technique. It is assumed that the (complex) data are processed by the method known as full correlation analysis (FCA). A theory is first developed to give the error in the determination of the position of the maximum of a cross-correlation function and the value of lag such that the autocorrelation falls to a value equal to that of the cross-correlation at zero lag. These are the basic quantities needed for the application of FCA. These error estimates are tested with a variety of numerically simulated data and shown to be realistic. The results are applied to real data and, using the standard techniques for the propagation of errors, they lead to estimates of the errors in the derived wind velocities. In order to test these estimates, an experiment was carried out in which two independent wind determinations were made simultaneously. The differences were used to obtain experimental estimates of the errors. It was found that the theory overestimates the error in the wind velocities by about 50 percent. Possible reasons for this are discussed.

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