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Simulation of multicorrelated random processes using the FFT algorithm

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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten
dc.contributor.authorWittig, Larry E.en
dc.contributor.authorSinha, A. Krishnaen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2015-05-12en
dc.date.accessioned2015-05-28T14:56:08Zen
dc.date.available2015-05-28T14:56:08Zen
dc.date.issued1975en
dc.description.abstractA technique for the digital simulation of multicorrelated Gaussian random processes is described. This technique is based upon generating discrete frequency functions which correspond to the Fourier transform of the desired random processes, and then using the fast Fourier transform (FFT) algorithm to obtain the actual random processes. The main advantage of this method of simulation over other methods is computation time; it appears to be more than an order of magnitude faster than present methods of simulation. One of the main uses of multicorrelated simulated random processes is in solving nonlinear random vibration problems by numerical methods of simulation. One of the main uses of multicorrelated simulated random integration of the governing differential equations. The response of a nonlinear string to a distributed noise input is presented as an example. nonlinear string to a distributed noise input is presented as an example.en
dc.description.sponsorshipUnited States. National Aeronautics and Space Administrationen
dc.format.extent5 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationWittig, L. E. & Sinha, A. K. (1975). Simulation of multicorrelated random processes using the FFT algorithm. Journal of the Acoustical Society of America, 58(3), 630-634. doi: 10.1121/1.380702en
dc.identifier.doihttps://doi.org/10.1121/1.380702en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52721en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/58/3/10.1121/1.380702en
dc.language.isoen_USen
dc.publisherAcoustical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectRandom processesen
dc.subjectFourier transformsen
dc.subjectDifferential equationsen
dc.subjectRandom structural vibrationsen
dc.subjectSignal generatorsen
dc.titleSimulation of multicorrelated random processes using the FFT algorithmen
dc.title.serialJournal of the Acoustical Society of Americaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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