Matstat seminarir fredagen 13 juni kl 13.15 i MH:227 Terrain navigation for underwater vehicles: methods, analysis and evaluation. Ola Wall, Lund Abstract: Submarines must maintain high accuracy navigation without exposure. The navigation system in a submarine is normally based on dead reckoning of signals from gyros. Due to the dead reckoning approach, errors cannot be attenuated and the position estimate will drift away from the correct position. The navigation filter must therefore be reinitialized periodically. This work discusses different methods for obtaining position fixes through aligning sonar measurements with maps of the sea bed. Correlation methods are described and used as a tool for analyzing the possibility of finding position fixes at all, and possible as a tool for providing requirements on measurement precision etc. Sequential Bayesian methods are presented, and although they are based on a state space model of subsequent data, they are found to provide attractive results also for batch oriented data sets. When estimating the posterior density functions, several integrals needs to be evaluated. This is done using both standard quadrature and simulation based integration. The methods are evaluated using 3D sonar measurements of a sea bed. From repeatedly collected data, a set of residuals were generated. The residuals are used in Monte Carlo simulations for the evaluation of the methods.