Gross-error detection method of elevation anomaly data of GPS (Global Positioning System)
A technology for detection of elevation anomalies and gross errors, applied in the field of geodesy, can solve problems such as multi-dimensional gross error detection and positioning difficulties, difficult realization, and misjudgment
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Embodiment 1
[0049] When describing the specific implementation process, the method of the present invention is described in detail in conjunction with a specific engineering example.
[0050] (1) Background introduction of engineering examples
[0051] To establish an area similar to the geoid, survey control points need to be laid out. In order to obtain relevant data, two surveys are required for survey control points, GPS survey and leveling survey.
[0052] ①GPS measurement: In accordance with the requirements of the national measurement specification, carry out corresponding level of GPS measurement on all control points, the purpose is to obtain the Gaussian plane coordinates and geodetic height of each control point.
[0053] ②Leveling survey: According to the requirements of national surveying regulations, conduct leveling surveys of corresponding levels on all control points, the purpose is to obtain the normal height of each control point, and calculate the elevation anomaly of...
specific Embodiment
[0066] In a specific embodiment, the 36 sets of GPS elevation anomaly data in Table 2 are substituted into the formula (15) one by one, and the matrix form of the formula (1) can be obtained. Then calculate according to formula (3), (4), (5), (6), (7) V, H, Q VV and
[0067] (3) According to formula (8), the Cook distance is calculated in Table 3, and D 平均 = 0.0319. Calculated D(i)-D of points 1, 4, 5, 8, 10, 15, 16, 20, 25, 30 and 35 平均 >0, so it is a strong influence point.
[0068] (4) Calculate the Welsch-Kuh distance using formula (9), see Table 3, and determine the strong influence point number according to the quantile value. It is known from Table 3 that the Welsch-Kuh distances of points 25 and 35 (those marked with *) are greater than their sub-positions (α=0.05), so points 25 and 35 are strong influence points.
[0069] Table 3 Cook distance and Welsch-Kuh distance (wk) table
[0070]
[0071] (5) The abnormal point sets obtained from the union of steps...
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