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dc.contributor.authorZiomek, Lawrence J.
dc.date.accessioned2018-09-21T18:03:54Z
dc.date.available2018-09-21T18:03:54Z
dc.date.issued1985
dc.identifier.citationZiomek, Lawrence J. "Linear time-invariant space-variant filters and the parabolic equation approximation." Signal processing 8.4 (1985): 423-439.en_US
dc.identifier.urihttp://hdl.handle.net/10945/59995
dc.descriptionThe article of record as published may be found at https://doi.org/10.1016/0165-1684(85)90005-2en_US
dc.description.abstractWave propagation in a random, inhomogeneous ocean is treated as transmission through a linear, time-invariant, space-variant, random communication channel. Using the parabolic equation approximation of the Helmholtz wave equation, a random transfer function of the ocean volume is derived. The ocean volume is characterized by a three-dimensional random index of refraction which is decomposed into deterministic and random components. Two additional calculations are performed using the transfer function. The first involves the derivation of the equations for the random, output electrical signals at each element in a receive planar array of complex weighted point sources in terms of the frequency spectrum of the transmitted electrical signal, the transmit and receive arrays, and the transfer function of the ocean medium. The second involves the derivation of the coherence function.en_US
dc.description.sponsorshipSupport for this research was obtained from the Naval Postgraduate School Foundation Research Program.en_US
dc.publisherElsevieren_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleLinear time-invariant space-variant filters and the parabolic equation approximationen_US
dc.typeArticleen_US
dc.contributor.departmentElectrical and Computer Engineering (ECE)en_US


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