|
|
测绘学报 2014
AdjustmentModelandColoredNoiseReductionofContinuousObservationSystem, PP. 360-365 Keywords: adjustment')",vertical-align&searchField=keyword">href="#">vertical-align,adjustment&searchField=keyword">middle">adjustment,continuous,observation,least,squares,colored,noise,Hilbert,space,Abstract,The,affection,caused,by,the,colored,noises,should,be,taken,into,account,to,the,adjustment,model.,As,useful,signals,these,colored,noises,should,be,accurately,identified,and,extracted,by,Fourier,analysis.,A,continuous,adjustment,model,is,introduced,with,respect,to,the,colored,noises,and,then,it,can,be,generalized,from,the,finite,space,to,the,infinite,space,so,called,as,Hilbert,space.,This,extension,is,to,provide,a,new,technique,to,perform,the,continuous,observational,system,design,Fourier,analysis,as,well,as,the,parameter,estimation.,It,shows,that,the,Gramer’s,determinant,provides,maximization,criteria,in,the,system,optimization,design,as,well,as,a,rule,in,diagnosing,the,adjustment,model.,Related,with,the,definition,of,the,integral,the,least,squares,solution,of,the,continuous,adjustment,model,becomes,the,limit,of,the,traditional,least,squares,solution,in,finite,space.,Moreover,the,influence,caused,by,the,colored,noises,is,systematic,but,it,can,be,eliminated,or,compensated,by,optimally,designing,the,observational,system. Abstract: Theaffectioncausedbythecolorednoisesshouldbetakenintoaccounttotheadjustmentmodel.Asusefulsignals,thesecolorednoisesshouldbeaccuratelyidentifiedandextractedbyFourieranalysis.Acontinuousadjustmentmodelisintroducedwithrespecttothecolorednoises,andthenitcanbegeneralizedfromthefinitespacetotheinfinitespacesocalledasHilbertspace.Thisextensionistoprovideanewtechniquetoperformthecontinuousobservationalsystemdesign,Fourieranalysisaswellastheparameterestimation.ItshowsthattheGramer’sdeterminantprovidesmaximizationcriteriainthesystemoptimizationdesignaswellasaruleindiagnosingtheadjustmentmodel.Relatedwiththedefinitionoftheintegral,theleastsquaressolutionofthecontinuousadjustmentmodelbecomesthelimitofthetraditionalleastsquaressolutioninfinitespace.Moreover,theinfluencecausedbythecolorednoisesissystematic,butitcanbeeliminatedorcompensatedbyoptimallydesigningtheobservationalsystem.
|
