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1、IEEECOMMUNICATIONSLETTERS,VOL.14,NO.12,DECEMBER20101161DirectionofDeparture(DOD)andDirectionofArrival(DOA)EstimationinMIMORadarwithReduced-DimensionMUSICXiaofeiZhang,LingyunXu,LeiXu,DazhuanXuAbstract—ThisletterdiscussestheproblemofdirectionofcomplexityforangleestimationinabistaticMIMO
2、radardeparture(DOD)anddirectionofarrival(DOA)estimationsystem.formulti-inputmulti-output(MIMO)radar,andderivesaNotation:(.)?,(.)?and(.)?1denotetranspose,conjugatereduced-dimensionmultiplesignalclassi?cation(MUSIC)algo-rithmtherein.Theproposedalgorithm,whichonlyrequiresone-transposeand
3、matrixinversion,respectively.∣∣.∣∣?standsfordimensionsearch,canavoidthehighcomputationalcostwithinForbeniusnorm.IPisaP×Pidentitymatrix;?istheKro-two-dimensionMUSIC(2D-MUSIC)algorithm.Weillustrateneckerproduct;0IisanI×1vectorofallzeros.thatthealgorithmhasbetterperformanceESPRITalgorith
4、m,andhasverycloseperformanceto2D-MUSICalgorithm.FurtherII.ANGLEESTIMATIONINMIMORADARouralgorithmrequiresnopairmatching.Simulationresultsverifytheusefulnessofouralgorithm.A.DatamodelIndexTerms—Radar,angleestimation,multi-inputmulti-WeconsideraMIMOradarsystemwithbothuniformlinearoutput(
5、MIMO),MUSIC.arraysforitstransmit/receivearray,inwhichMelementsandNelementsarearrangedwithhalf-wavelengthspacingbetweenadjacentantennas,respectively.ItisalsoassumedI.INTRODUCTIONthatthereareKnoncoherenttargets,andtheoutputofthematched?ltersatthereceivercanbedenotedas[2,6],whichULTI-INP
6、UTmulti-output(MIMO)radars[1]-[2],isgivenbyMwhichutilizemultipleantennastosimultaneouslytransmitdiversewaveformsandreceivere?ectedsignalsinX(?)=[a?(?1)?a?(?1),a?(?2)?a?(?2),...,similarways,havethepotentialadvantagesoverconventionala?(??)?a?(??)]b(?)+n(?)(1)phased-array.Ithasbeendemons
7、tratedthatMIMOradarswhere??,??aretheDODandDOAofthekthtargethavemoredegreesoffreedomthanothersystemswithawithrespecttothetransmitarraynormalandthereceivesingletransmitantenna.Theseadditionaldegreesoffreedomarraynormal,respectively;a?(??)anda?(??),arethereceivearewell-quali?edforovercom
8、ingfa