Parameter mixing errors within a measuring volume with applications to incoherent scatter

Details Parameter mixing errors within a measuring volume with applications to incoherent scatter Parameter mixing errors within a measuring volume with applications to incoherent scatter

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jatp...52..665v&link_type=abstract

(EISCAT Scientific Association, International EISCAT Workshop, 4th, Sigtuna, Sweden, June 5-9, 1989) Journal of Atmospheric and

Mathematics

Logic

4

Bayes Theorem, Incoherent Scatter Radar, Radar Scattering, Statistical Analysis, Autocorrelation, Ionospheric Ion Density, Mathematical Models, Oxygen Ions, Temperature Inversions

Scientific paper

The effect on parameter error estimates resulting from parameter variations within the measuring volume under consideration is studied in the framework of linear statistical inversion theory. It is shown that using estimates for the parameter averages is equivalent to having the theory corrected by the covariances of the variables coupled with the second derivatives of the theory function. If the parameter distributions were known exactly, this would only introduce a bias in the linear theory and hence a systematic error in the parameter center point estimates. When the distributions are not known exactly, there is another source of error consisting of the uncertainties in the parameter variation estimates. This leads to new error bounds on the allowed parameter variability within the volume under consideration if some prescribed accuracy in the parameter average estimates is required. These considerations are applied to incoherent scatter (IS) radar measurements.

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