Using ridge regression in systematic pointing error corrections

Details Using ridge regression in systematic pointing error corrections Using ridge regression in systematic pointing error corrections

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988tdar.nasa...20g&link_type=abstract

In its The Telecommunications and Data Acquisition Report p 20-26 (SEE N88-18774 11-32)

Astronomy and Astrophysics

Astronomy

Calibrating, Errors, Parameter Identification, Pointing Control Systems, Regression Analysis, Spacecraft Tracking, Antennas, Collinearity, Least Squares Method, Mathematical Models, Matrices (Mathematics), Radio Astronomy

Scientific paper

A pointing error model is used in the antenna calibration process. Data from spacecraft or radio star observations are used to determine the parameters in the model. However, the regression variables are not truly independent, displaying a condition known as multicollinearity. Ridge regression, a biased estimation technique, is used to combat the multicollinearity problem. Two data sets pertaining to Voyager 1 spacecraft tracking (days 105 and 106 of 1987) were analyzed using both linear least squares and ridge regression methods. The advantages and limitations of employing the technique are presented. The problem is not yet fully resolved.

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