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1、5618IEEETRANSACTIONSONSIGNALPROCESSING,VOL.56,NO.11,NOVEMBER2008CodeDesigntoOptimizeRadarDetectionPerformanceUnderAccuracyandSimilarityConstraintsAntonioDeMaio,SeniorMember,IEEE,SilvioDeNicola,StudentMember,IEEE,YongweiHuang,ShuzhongZhang,andAlfonsoFarina,
2、Fellow,IEEEAbstract—Thispaperdealswiththedesignofcodedwaveformsattention[5]–[7,andreferencestherein]duetotheadventofwhichoptimizeradarperformancesinthepresenceofcoloredadaptiveradartransmitterswhichpermittheuseofadvancedGaussiandisturbance.Wefocusontheclas
3、soflinearlycodedpulsepulseshapingtechniques.Thistheoryderivestheoptimizedtrainsanddeterminetheoptimumradarcodeaccordingtothefol-lowingcriterion:maximizationofthedetectionperformanceundertransmissionwaveformandthecorrespondingreceiverresponseacontrolonthere
4、gionofachievableDopplerestimationaccuracies,whichmaximizesthesignal-to-noiseratio(SNR).Thecaseofandimposingasimilarityconstraintwithaprefixedradarcode.singlepolarimetricchannelisconsideredin[6],whereastheThislastconstraintistantamounttorequiringasimilarityb
5、etweenmostgeneralsituationoffullpolarizationradartransmissionistheambiguityfunctionsofthedevisedwaveformandofthepulsehandledin[7].Theconceptisalsofurtherinvestigatedin[8],trainencodedwiththeprefixedsequence.Theresultingoptimiza-tionproblemisnonconvexandquad
6、ratic.Inordertosolveit,wewithreferencetoGaussianpoint-targetandstationaryGaussianproposeatechnique(withpolynomialcomputationalcomplexity)clutter.Theresultsshowthattheoptimumprocedureplacesthebasedontherelaxationoftheoriginalproblemintoasemidefinitesignalene
7、rgyinthenoisebandhavingminimumpower.program.Thus,thebestcodeisdeterminedthrougharank-oneWaveformoptimizationinthepresenceofcoloreddistur-decompositionofanoptimalsolutionoftherelaxedproblem.Attheanalysisstage,weassesstheperformanceofthenewencodingbancewithk
8、nowncovariancematrixhasbeenaddressedin[9].techniqueintermsofdetectionperformance,regionofachievableThreetechniquesbasedonthemaximizationoftheSNRareDopplerestimationaccuracies,andambiguityfunction.introducedan
