Robust Waveform Design for MIMO Radars.pdf

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1、3262IEEETRANSACTIONSONSIGNALPROCESSING,VOL.59,NO.7,JULY2011RobustWaveformDesignforMIMORadarsEmanueleGrossi,Member,IEEE,MarcoLops,SeniorMember,IEEE,andLucaVenturino,Member,IEEEAbstract—Theproblemofrobustwaveformdesignformul-tiple-input,multiple-outputradarsequippedwithwidelyspacedantennasi

2、saddressedhere.Robustdesignisneededasanumberofparametersmaybeunknown,e.g.,thetargetscatteringcovari-ancematrixandthedisturbancecovariancematrix.Followingamin-maxapproach,thecodematrixisdesignedtominimizetheworst-casecostoverallpossibletarget(ortargetanddisturbance)covariancematrices.Thesa

3、memin-maxsolutionappliestomanycommonlyadoptedperformancemeasures,suchastheaveragesignal-to-disturbanceratio,thelinearminimummeansquareerrorinestimatingthetargetresponse,themutualinformationbetweenthereceivedsignalechoesandthetargetresponse,andtheapproximationofthedetectionprobabilityinthe

4、high-andlow-signalregimesforafixedprobabilityoffalsealarm.Examplesillustratingthebehaviorofthemin-maxcodesareprovided.Fig.1.Targetscatteringina2MIMOradar.IndexTerms—Chernoff’sbound,linearminimummeansquareerror,MIMOradar,min-max,minimax,mutualinformation,ro-bustwaveformdesign.thetransmitt

5、er(i.e.,),butfarawayfromthere-ceiver(i.e.,),wemayhavefulltransmitdiversity,I.INTRODUCTIONbutreduced(orno)receivediversity.ONSIDERthemultiple-inputmultiple-outputThearchitectureinFig.1hasbeenintroducedanddiscussedC(MIMO)radararchitectureofFig.1andassumethatabyearlystudiesonMIMOradar,suchas

6、[1][4].UndertargetwithextensionandinthetransmitandreceiveuncorrelatedGaussianscatteringanddisturbance,thetargetsensoralignmentdirection,respectivelyispresent,anddetectabilitymaybeenhancedbytransmittingasetoforthog-beingthesensorspacingatthetransmitterandreceiver.Assumeonalwaveformsandperf

7、ormingdisjointenergydetectionatthatthetimedelaysofthedifferentpathsbetweeneachtransmiteachreceiveantenna.Inthiscase,theprobabilityofatargetantennaandthetargetarenotresolvable,whichinturnimpliesmissvanishesasthethpowerofthesignal-to-disturbancethatthebandwidthofthetr