Statistical Properties of the Acoustic Field in Inhomogeneous Oceanic Environments: Scattering Matrix Approach
نویسنده
چکیده
To quantify uncertainties in the acoustic field and associated probabilities of the detection and false alarm rate we use concept of a scattering matrix (SM) for acoustic modes. SM describes the process of transformation of modes when propagating through inhomogeneous region. SM depends on the parameters of the inhomogeneities but does not depend on coordinates of the source and receivers. Thus the dependencies on the environmental parameters and positions of the source and receivers are factored out and can be studied separately. In particular, if the SM is exactly known and position of the source is unknown, uncertainties of the detection can be expressed in terms of convolution of the SM with assumed probability distribution of the source location. On the other hand, if SM is not exactly known, additional uncertainty in source detection can be expressed in terms of statistical moments of SM itself.
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