Error Propagation in Inertial Positioning
- 1 September 1980
- journal article
- Published by Canadian Science Publishing in The Canadian Surveyor
- Vol. 34 (3) , 265-276
- https://doi.org/10.1139/tcs-1980-0036
Abstract
To combine the results obtained from inertial surveying systems with other geodetic data the complete error covariance matrix for the derived positions is required. This matrix is not available from the standard output. It is shown how the covariances at each station can be obtained from the system of differential equations that governs the error propagation and how filtering and smoothing procedures effect the error estimates. The covariances between stations on the same traverse are then derived and the formulas are used to compute the correlation matrix for a test traverse near Ottawa, Ontario. The correlations are large for standard zero update periods and they increase with time. The results are checked by performing a correlation analysis on actual data along the same traverse. Correlations are even larger in this case, indicating an almost deterministic error behavior for the individual traverse.Keywords
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