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1、[AbdelhakM.Zoubir,VisaKoivunen,YacineChakhchoukh,andMichaelMuma]RobustEstimationinSignalProcessing[Atutorial-stylehewordrobusthasbeenusedinmanycontextsinsignalprocessing.Ourtreatmentconcernsstatisticalrobustness,whichdealswithdeviationsfromtreatmentthedistributionalass
2、umptions.ManyproblemsencounteredinengineeringpracticerelyontheGaussiandistributionofthedata,whichinmanysitua-offundamentalTtionsiswelljustified.Thisenablesasimplederivationofoptimalestimators.Nominaloptimality,however,isuselessiftheestimatorwasderivedunderdistributiona
3、lassumptionsonthenoiseandthesignalthatdonotholdinpractice.Evenslightdevia-concepts]tionsfromtheassumeddistributionmaycausetheestimator’sperformanceto©EYEWIREDigitalObjectIdentifier10.1109/MSP.2012.2183773Dateofpublication:12June20121053-5888/12/$31.00©2012IEEEIEEESIGNA
4、LPROCESSINGMAGAZINE[61]JULY2012drasticallydegradeortocompletelybreakdown.Thesignalpro-naturaldisasters[8].Moreover,onacomputerplatform,variouscessingpractitionershould,therefore,askwhethertheperfor-components,suchastheliquidcrystaldisplay(LCD)pixelclockmanceofthederive
5、destimatorisacceptableinsituationswhereandtheperipheralcomponentinterconnect(PCI)expressbus,thedistributionalassumptionsdonothold.Isn’titrobustnesscauseimpulsiveinterferencethatdegradestheperformanceofthatisofamajorconcernforengineeringpractice?Manyareasoftheembeddedwi
6、relessdevices[9].engineeringtodayshowthatthedistributionofthemeasure-ThesesituationsenforcetheneedforrobustsignalprocessingmentsisfarfromGaussianasitcontainsoutliers,whichcausemethods,whichareclosetooptimalinnominalconditionsandthedistributiontobeheavytailed.Undersuchs
7、cenarios,wehighlyreliableforreal-lifedata,eveniftheassumptionsareonlyaddresssingleandmultichannelestimationproblemsaswellasapproximatelyvalid[10].Inestimation,optimalityunderthelinearunivariateregressionforindependentlyandidenticallydis-exactmodeliscommonlymeasuredbyth
8、eefficiencyoftheesti-tributed(i.i.d.)data.Aratherextensivetreatmentoftheimpor-mator,whilenear-optimalityundercontamin