报告人：Peter J.G. Teunissen（代尔夫特理工大学 教授）

时间：2024年10月24日（周四）8:50-11:35

地点：南教学楼122

报告简介：

In these lectures we introduce, in analogy to penalized ambiguity resolution, the concept of penalized misclosure space partitioning, with the goal of directing the performance of the DIA-estimator towards its application-dependent tolerable integrity risk objectives. We assign penalty functions to each of the decision regions in misclosure space and use the distribution of the misclosure vector to determine the optimal partitioning by minimizing the mean penalty. As each minimum mean penalty partitioning depends on the given penalty functions, different choices can be made, in dependence of the application. For the DIA-estimator, we introduce a special set of penalty functions that penalize its unwanted outcomes. It is shown how this set allows one to construct the optimal DIA-estimator, being the estimator that within its class has the largest probability of lying inside a user specified tolerance region. Further elaboration shows how these penalty functions are driven by the influential biases of the different hypotheses and how they can be used operationally. By extending the analogy with integer ambiguity resolution to that of integer-equivariant ambiguity resolution, we also describe various DIA-estimators within the similar larger class.

报告人简介：

Peter Teunissen is Professor of Geodesy at Delft University of Technology, an elected member of the Royal Netherlands Academy of Arts and Sciences, and founding Editor-in-Chief of IAG’s Journal of Geodesy. He has been research-active in various fields of Geodesy, with contributions ranging from new geodetic theory (mixed-integer model estimation, quality control and DIA reliability theory) to breakthrough innovations in satellite navigation and geospatial infrastructure disciplines (LAMBDA method, multi-GNSS PPP-RTK and the early characterization of the Chinese BeiDou, the Indian IRNSS, and the Russian GLONASS CDMA system). His scientific contributions have been recognized through various awards, including the IAG Bomford Prize, the ION Kepler Award, EGU’s Vening-Meinesz Medal and he is an elected Fellow of IUGG, IAG, UK-RIN, and USA-ION. He has authored numerous journal papers and textbooks, and he is on the Editorial Board of several peer-reviewed journals. With Springer, he published the Handbook of GNSS (Teunissen/Montenbrück) and GPS for Geodesy (2nd  Ed. Teunissen/Kleusberg), and he published the books Adjustment Theory (2nd Ed.), Testing Theory (3rd Ed.), Dynamic Data Processing (2nd Ed.) and Network Quality Control (2nd Ed.) with TU Delft Open Publishing.