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Technique for Measurement of Cross‐Spectral Density of Two Random Functions
dc.contributor.authorUberoi, Mahinder S.en_US
dc.contributor.authorGilbert, Elmer Granten_US
dc.date.accessioned2010-05-06T21:43:57Z
dc.date.available2010-05-06T21:43:57Z
dc.date.issued1959-03en_US
dc.identifier.citationUberoi, Mahinder S.; Gilbert, Elmer G. (1959). "Technique for Measurement of Cross‐Spectral Density of Two Random Functions." Review of Scientific Instruments 30(3): 176-180. <http://hdl.handle.net/2027.42/70164>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70164
dc.description.abstractThe cross‐spectral density of two functions may be determined by using two selective filters which have identical impulse responses except for a relative phase difference which should be 0° and 90° for the measurement of cosine and sine components, respectively. A technique is developed which is quite accurate and requires a minimum of special equipment. The operation of the system is checked by measuring the cross‐spectral density of two functions whose statistical properties are known.en_US
dc.format.extent3102 bytes
dc.format.extent357516 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleTechnique for Measurement of Cross‐Spectral Density of Two Random Functionsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Aeronautical Engineering, University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70164/2/RSINAK-30-3-176-1.pdf
dc.identifier.doi10.1063/1.1716503en_US
dc.identifier.sourceReview of Scientific Instrumentsen_US
dc.identifier.citedreferenceThe random functions are restricted to those whose average properties are independent of a shift in the origin of time.en_US
dc.identifier.citedreferenceThe cross‐spectral density is assumed to be continuous. In order to include functions with periodic or almost periodic components (line spectrum) it is necessary to use Fourier‐Stieltjes integrals, which adds nothing new. The almost periodic components can be handled in a manner similar to that given above.en_US
dc.identifier.citedreferenceA. E. Hastings and J. E. Meade, Rev. Sci. Instr. 23, 347 (1952).en_US
dc.identifier.citedreferenceM. J. Levin and J. F. Reintjes, Proc. Natl. Electronics Conf. 8, 647 (1952).en_US
dc.identifier.citedreferenceM. S. Uberoi and L. S. G. Kovasznay, Quart. Appl. Math. 10, 375 (1953).en_US
dc.identifier.citedreferenceA. Huberstrich and F. R. Hama, AFOSR TN 58‐338 (1958).en_US
dc.identifier.citedreferenceS. Corrsin and M. S. Uberoi, NACA TN 1050 (1951).en_US
dc.identifier.citedreferenceG. A. Korn and T. M. Korn, Electronic Analog Computers (McGraw‐Hill Book Company, Inc., New York, 1956), second edition.en_US
dc.owningcollnamePhysics, Department of


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