... LLCInverseProblemsinArray Processing KevinR.FarrellT-Netix/SpeakEZ30.1Introduction30.2BackgroundTheoryWavePropagation•SpatialSampling•SpatialFrequency30.3NarrowbandArraysLook-DirectionConstraint•PilotSignalConstraint30.4BroadbandArrays30.5InverseFormulationsforArrayProcessingNarrowbandArrays•BroadbandArrays•Row-ActionProjec-tionMethod30.6SimulationResultsNarrowbandResults•BroadbandResults30.7SummaryReferences30.1 ... opportunities via array processing algorithms. Array processing algorithms are typically realized through the imple-mentation of narrowband or broadband arrays. These two arrays are discussed ... IntroductionSignalreceptionhasnumerousapplicationsincommunications,radar,sonar,andgeoscienceamongothers.However,theadverseeffectsofnoiseintheseapplicationslimittheirutility.Hence,thequestfornewandimprovednoiseremovaltechniquesisanongoingresearchtopicofgreatimportanceinavastnumberofapplicationsofsignalreception.Whencertaincharacteristicsofnoiseareknown,theireffectscanbecompensated.Forexample,ifthenoiseisknowntohavecertainspectralcharacteristics,thenafiniteimpulseresponse(FIR)orinfiniteimpulseresponse(IIR)filtercanbedesignedtosuppressthenoisefrequencies.Similarly,ifthestatisticsofthenoiseareknown,thenaWeinerfiltercanbeusedtoalleviateitseffects.Finally,ifthenoiseisspatiallyseparatedfromthedesiredsignal,thenmultisensorarrayscanbeusedfornoisesuppression.Thislastcaseisdiscussedinthisarticle.Amultisensorarrayconsistsofasetoftransducers,i.e.,antennas,microphones,hydrophones,seismometers,geophones,etc.thatarearrangedinapatternwhichcantakeadvantageofthespatiallocationofsignals.Atwo-elementtelevisionantennaprovidesagoodexample.Toimprovesignalreceptionand/ormitigatetheeffectsofanoisesource,theantennapatternismanuallyadjustedtosteeralowgaincomponentoftheantennapatterntowardsthenoisesource.Multisensorarraystypicallyachievethisadjustmentthroughtheuseofanarrayprocessingalgorithm.Mostapplica-tionsofmultisensorarraysinvolveafixedpatternoftransducers,suchasalineararray.Antennapatternadjustmentsaremadebyapplyingweightstotheoutputsofeachtransducer.Ifthenoisearrivesfromaspecificnon-changingspatiallocation,thentheweightswillbefixed.Otherwise,c1999byCRCPressLLCif...