Stepwise and sequential collocation

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1973-07

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Ohio State University. Division of Geodetic Science

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Abstract

In stepwise collocation, the estimation procedure is split up into two steps, corresponding to a partitioning of the covariance matrix to be inverted. Formulas for signal and parameter estimates and for their error covariances are derived and interpreted statistically. Stepwise adjustment by parameters and by conditions is exhibited as special cases of stepwise collocation. Sequential collocation is an extension of the procedure so as to comprise several steps. Finally, the relation between sequential collocation and Kalman filtering is considered in some detail.

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Prepared for Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, Bedford, Massachusetts: Contract No. F19628-72-C-0120, Project No. 8607, Task No. 860701

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