Analysis Of The Character Of Observation Space Structers For Ⅱ Ill-Conditioned System

The ill-conditioned problem is one of the main factors affecting the qualityof the parameters estimation, it lies in geography, physical parameters counterevolvement, geogramertry, GPS positioning and navigation, deformation survey andparameters estimation related data processing, its harm is extremely serious,thus analysis of ill-conditioned problem is the problem which must be faced inthe data processing work. In geodetic survey, there areâ… orâ…¡two kindsill-conditioned problems, but plays the main role, especially with theapplication of the GPS localization and the navigation, the radarscope photographsurvey and other advanced mapping technology, the ill-conditioned have alreadybecome one of the major influence factors to improve the space position'sprecision, theâ…¡one is directly caused by the bad survey construction. So inâ…¡ill-conditioned problem, it is important to analysis and process surveyconstruction.This article reaserched deeply in survey construction ofâ…¡ill-conditionedproblem in geodetic survey in the base of retrospect of ill-conditionedproblem's reaserch history and actuality. Deducted the measure methods ofobservation vector's relation by the numbers. And did research on the relationsof the observation subspaces thoroughly. Unveiled the spatial character and theessential ofâ…¡ill-conditioned. Analyzing the traits of space structures fromthe effects of single observation and small observation vector group to spacestructures and relation between observation vector and survey construction. Itfurther put forward some new diagnosis methods respectively based on volume U,condition number, measurement theory of survey space, and measurement theory ofobservation information. It also corrected the shortage of the existing diagnosismethods and illustrated the validity of diagnosis methods in some extent byabundant examples.