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基于稀疏线阵的机载合成孔径雷达成像模型、方法与实验研究 Introduction: Syntheticapertureradar(SAR)iswidelyusedinmanyfields,includingearthobservation,agriculture,military,andsoon.SARcanprovidehigh-resolutionimagesregardlessofweatherconditionsandtimeofday.However,theSARimagingalgorithmrequiresalargeamountofcomputationalresourcesandlongacquisitiontime.Toovercomethisproblem,sparselineararray-basedairbornesyntheticapertureradar(SAR)hasbeenproposed.Inthispaper,weproposeasparselineararray-basedairbornesyntheticapertureradarimagingmodel,amethod,andexperimentalstudies. Sparselineararray-basedSARImagingModel: TheproposedSARimagingmodelconsistsofthreemainparts:1)signalmodel,2)motioncorrectionmodel,and3)imagingalgorithm. 1.Thesignalmodeldescribesthereflectedsignalfromthetargetsceneasfollows: y(t)=∑i=1NS(ti-τi)ej(φi+ψi)+n(t) Wherey(t)isthereceivedsignal,Nisthenumberofscatterers,S(ti-τi)isthesignalreceivedfromtheithscatterer,τiisthetimedelayoftheithscatterer,φiisthephaseoftheithscatterer,ψirepresentstheDopplershiftoftheithscatterer,andn(t)istheGaussiannoise. 2.Themotioncorrectionmodelcorrectsthephasedistortioncausedbytheaircraft'smotionduringdataacquisition.Themotioncorrectioncanbeformulatedas: y(mc)(t)=y(t)ej2πfc(t-ta) Wherey(mc)isthesignalaftermotioncorrection,fcisthecarrierfrequency,andtaisthetimedelaycausedbytheaircraft'smotion. 3.Theimagingalgorithmusesthemotion-correctedsignaltogeneratetheSARimage.Thealgorithmcanbeformulatedas: I(x,y)=∑i=1M∑j=1Ny(mc)(t)g(t-t0)g(t-t0-τij)e-j2πfct0e-j2πfxiτije-j2πfyjτij WhereI(x,y)istheSARimage,Misthenumberofrangecells,Nisthenumberofazimuthcells,τijisthetimedelaybetweentheithscattererandthejthelementofthelineararray,t0isthereferencetime,g(t)isthepulsetransmissionfunction,fcisthecarrierfrequency,xiandyiarethepositionsofthejthelementintherangeandazimuthdirection,respectively. Sparselineararray-basedSARimagingMethod: TheproposedSARimagingmethodincludesthefollowingsteps: 1.Dataacquisition:TheSARsystemacquiresthedatafromthetargetsceneusingasparselineararray-basedradar. 2.Moti