11135.基于主元分析的隨機(jī)相移算法及應(yīng)用研究

1、基于主元分析的隨機(jī)相移算法及應(yīng)用研究Researchofrandomphase—shiftingalgorithmbasedonprincipalcomponentanalysisanditsapplication碩士研究生：陳矍MasterDegreeCandidate：ZhaoChen導(dǎo)師：徐建程Tutor：JianchengXu中國金華浙江師范大學(xué)ZhejiangNormalUniversity，Jinhua，China二零一六年

2、三月March，2016RESEARCHOFRANDOMPHASESHIFTINGALGORn、HMBASED0NPRINCIPALCOMPONENTANALYSISANDITSAPPLICATIONABSTRACTTherandomphase—shiftinginterferometryisaresearchfocusrecentlyandithasanimportantapplicationvalueforon—situmeasur

3、ementofopticsThereportedtheoreticalmodelsandanalyticmethodsoftherandomphase—shiftinginterferometryhavesomelimitationsandtheaccuracyandtheefficiencyofon—situmeasurementneedtobeimprovedInthispaper，arandomphaseshiftingalgor

4、ithmbasedonprincipalcomponentanalysis(PCA)isstudiedThebasiclawandtheerrorsourceofthealgorithmareanalyzed，andthenthealgorithmisimprovedFinally，thePCAalgorithmisappliedtothedynamicinterferometryandsomemeaningfulresultsareo

5、btainedasfollows：Thefirstpartintroducestheprinciplesofphaseshiftinginterferometry(Psi)，thetraditionalalgorithms，andtherandomphase—shiftingalgorithmbasedonprincipalcomponentanalysisThesimulationresultshowsthatthePCAalgori

6、thmisaccurateandnon—iterativeThesecondpartanalyzestwoproblemsofthePCAalgorithm，thesignambiguityandthereliabilityoftheextractedphasebyprincipalcomponentanalysisTosolvetheseproblems，weanalyzedtherelationshipbetweentheextra

7、ctedphaseshiftsandtheglobalsignandtheaccuracyoftheextractedphaseThenthesignambiguityandthereliabilityofextractedphasearedeterminedandvaluedbyanalyzingtheextractedphaseshiftsForthecasethatthereliabilityofextractedphaseisl

8、owamethodcombiningtheprincipalcomponentanalysis(PCA)andtheleastsquaresmethod(LSM)isproposedtoimprovetheaccuracyoftheextractedphaseThemethodestimatestheinitialphasebyPCA，andthenreducestheresidualphaseerrorbyLSMwithseveral