资源描述：
《The importance of phase in signals.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、PROCEEDINGSOFTHEIEEE,VOL.69,NO.5,MAY1981529TheImportanceofPhaseinSignalsInvitedPaperAbsmzct-IntheFourierrepresentationofsignals,spectralmagnitudebutnotinthemagnitude-onlyimage.Similarobservationsandphasetendtoplaydifferentrolesandinmesituationsmanyofhavealsobeenmadeinthecontextofspeechsi
2、gnalsandX-raytheimportantfeaturesofasignalarepreservedifonlythephaseisre-crystallography.Specifically,forspeechithasbeenshownthattained.Furthennore,underavarietyofconditions,suchaswhenaSig-theintelligibilityofasentenceisretainedifthephaseofthenalisoffinitelength,phaseinformationaloneissu
3、fficienttocompletelyreconstructasignaltowithinascalefactor.Inthispaper,wereviewFouriertransformofalongsegmentofspeechiscombinedwithanddiscusstheseobservationsandresultsinanumberofdifferentcon-unitymagnitude.InthecontextofX-raycrystallography,detextsandapplications.Specifically,theintenig
4、ibilityofph-dyre-tailsofthecrystallographicstructureareofteninferredfromX-constructionforimages,speech,andcrystaUographicstructure%areraydiffractiondata.TheFouriersynthesisofthestructurefromiuustrated.Severalapproachestojustifyingtherelativeimportanceofphasethroughstatisticalargumentsare
5、presented,alongwithanumberonlythecorrectmagnitudeofthediffractiondatawithzeroofinformalargumentssuggestingreasonsfortheimportanceofphm.phaseingeneraldoesnotpreservetheatomicstructurewhereasSpeciFiiconditionsunderwhichasequencecanbeexactiyrecon-Fouriersynthesisusingonlythecorrectphase.wit
6、hunitymag-structedfromphasearereviewed,bothforone-dimensionalandmulti-nitudedoesreflectthecorrectatomicstructure.Theseexam-dimensionalsequences,andalgorithmsforbothapproximateandexactples,elaboratedoninSection11,suggestverystronglythefactreconstructionofsignalsfromphaseinformationarepres
7、ented.Anumberofapplicationsoftheobservationsandresultsinthispaperarethatinmanycontextsthephasecontainsmuchoftheessentialsuggested.“information”inasignal.Theabovediscussionrelatestothefactthatifthetruemag-nitudeinformationiseliminatedmanyoftheimportantchar-I.INTRODUCTIONac
