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1、718IEEEJOURNALOFSELECTEDTOPICSINSIGNALPROCESSING,VOL.2,NO.5,OCTOBER2008CompressedSensinginAstronomyJérômeBobin,Jean-LucStarck,andRolandOttensamerAbstract—Recentadvancesinsignalprocessinghavefocusedonobtainedbycurrentmethodswithoutintroducingunacceptabletheuseofsparserepresentationsin
2、variousapplications.Anewdistortions.Furthermore,formostastronomicaldatacompres-fieldofinterestbasedonsparsityhasrecentlyemerged:compressedsionproblems,threemainpropertiesmustbeundercontrol:res-sensing.Thistheoryisanewsamplingframeworkthatprovidesolution(pointspreadfunction),sensitivit
3、y(abilitytodetectlowanalternativetothewell-knownShannonsamplingtheory.Inthispaper,weinvestigatehowcompressedsensing(CS)canprovidenewlevelsignals),andphotometry.insightsintoastronomicaldatacompression.WefirstgiveabriefTheHerschelsatellite,1whichwillbelaunchedinlate2008/overviewofthecom
4、pressedsensingtheorywhichprovidesveryearly2009,isfacedwithasimilarproblem.Indeed,thepho-simplecodingprocesswithlowcomputationalcost,thusfavoringtometerdataneedtobecompressedbyafactorofapproximatelyitsuseforreal-timeapplicationsoftenfoundonboardspacemis-6tobetransferred.AstheCPUloadha
5、stobeextremelysmall,sion.Inpracticalsituations,owingtoparticularobservationstrate-gies(forinstance,rasterscans)astronomicaldataareoftenredun-conventionalcompressionmethodscannotbeused.dant;inthatcontext,wepointoutthataCS-basedcompressionRecently,analternativesamplingtheoryhasemergedw
6、hichschemeisflexibleenoughtoaccountforparticularobservationalshowsthatsignalscanberecoveredfromfarfewersamplesstrategies.Indeed,weshowalsothatCSprovidesanewfantastic(measurements)thanwhattheNyquist/Shannonsamplingwaytohandlemultipleobservationsofthesamefieldview,allowingtheorystates.Th
7、isnewtheorycoinedcompressedsensingorustorecoverlowleveldetails,whichisimpossiblewithstandardcompressionmethods.ThiskindofCSdatafusionconceptcould(compressivesensing)introducedintheseminalpapers[3],[4]leadtoanelegantandeffectivewaytosolvetheproblemESAisreliesonthecompressibilityofsign
8、alsormorepre