Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jgc.....1...56c&link_type=abstract
(American Astronautical Society and American Institute of Aeronautics and Astronautics, Astrodynamics Conference, Jackson, Wyo.,
Astronomy and Astrophysics
Astronomy
Algorithms, Data Processing, Digital Filters, Error Analysis, Very Long Base Interferometry, Legendre Functions, Minima, Troposphere
Scientific paper
Two separate algorithms are derived for testing filter sensitivity to systematic data errors. One algorithm provides the absolute minimum Euclidean norm data error for a given estimate component error. The second algorithm can be used to find the minimum norm data error which can be generated by restricted degree Legendre polynomials. A specific very long baseline interferometry (VLBI) baseline estimation is analyzed with the algorithm. It is found that the local vertical is the most sensitive component to error in the data space. The efficiency of a data error sequence linear in elevation angle is within 7% that of the absolute worst case sequence. Elevation angle dependent errors are explored and the special case of a mismodeled troposphere is treated.
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