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Use of calculated sound fields and matched-field detection to locate sound sources in shallow water
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1976
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AeroacousticsEngineeringMeasurementAcoustical OceanographyEducationOceanographyMatched-field DetectionOcean AcousticsSound SourceNoiseBiostatisticsShallow WaterUnderwater CommunicationAcoustic Signal ProcessingInstrumentationAcoustic AnalysisSonar Signal ProcessingAcoustic MethodsOcean InstrumentationAcoustic PropagationNoise MeasurementAcoustic TechnologySound Pressure MeasurementsSignal ProcessingSource LocationSound SourcesOcean AcousticUnderwater SensingComputational Acoustics
The calculated complex sound field cj for sensor j at depth zj and range rj from a sound source of frequency ω and depth z0 can be written in the normal-mode form as cj= (2π/rj)1/2 ΣmUm(z0) Um(zj) exp[i (kmrj−ωt)]. Here, km is the horizontal wavenumber of mode m and Um is the depth function of the mth mode. It is proposed that the detection factor DF=ΣJj=1 cjc*k〈 (c0jc0k*) *〉 is a reasonable measure for determination of whether a set of sound pressure measurements {c0j} for j=1,2,⋅⋅⋅,J is a good fit to calculated values of {cj} for an assumed location of the sound source. Here 〈 〉 denotes a time average and * denotes complex conjugate. Several examples are shown where a set of {c0j} are calculated for a given source location in a typical shallow water channel and values of DF are then calculated for a grid of range depth or range azimuth locations. Subject Classification: [43]60.20; [43]30.82.