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STUDY OF THE IMPACT OF GPS VECTOR CORRELATION ON THE ACCURACY OF POSITION DETERMINATION
Abstract
This paper proposes an adjustment algorithm of GPS vector as correlated observations. The theoretical and practical analysis has been performed for the case of a small GPS vector network (of a few hundred meters) to monitor displacements of land area or deformations of engineering structures. The detailed record of correlated observations adjustment algorithm is presented. In this case, the adjustment procedure using the least squares principle can be proven to be unchanged. The key task in this approach (adjustment of correlated values) is still the correct determination of weight coefficients matrices. Also the analysis of impact of adjusting coordinates on the spatial lengths of vectors (used, for example, to determine the so-called relative displacements) is also presented. Two factors affecting the mutual correlation of GPS vectors are considered: synchronous measurement with a static method using two or more receivers and closure of elementary figures (triangles) during numerical development of a vector network. The completed practical example (for several comparative calculation variants) allows for assessing the impact of GPS vector correlation.
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