On the statistics of a sum of harmonic waveforms

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dc.contributor.authorPrimak, S
dc.contributor.authorLoVetri, J
dc.contributor.authorRoy, J
dc.date.accessioned2007-10-30T14:31:29Z
dc.date.available2007-10-30T14:31:29Z
dc.date.issued2002-02-28
dc.description.abstractIn this paper, we address certain aspects of the problem of statistically characterizing the electromagnetic field inside an enclosure. The field that we are interested in describing is time-harmonic and a three-dimensional spatial vector; therefore, two random variables are required for each vector component at each location in the enclosure. We could describe either the magnitude (or intensity) and phase, or the real (in-phase) and imaginary (quadrature) parts, of each spatial component. It is the relationship between these two modes of description that is addressed in this paper. We show that this relationship is given by the Blanc-Lapierre transform and when there is a sum of more than one time-harmonic field, by equations first derived by Kluyver. The relationships are derived for any form of distribution taken on by any of the random variable. We also address issues related to the approximation of the probability density function (pdf) of the amplitude of an electromagnetic field given a known pdf of the intensity of this field. The work presented herein fills in some of the gaps which were left in some recent literature wherein the independence of the variables to each other was assumed, that is, the independence of the in-phase to the quadrature variables.en
dc.format.extent325756 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citation0018-9375; IEEE TRANS ELECTROMAGN COMPAT, FEB 2002, vol. 44, no. 1, p.266 to 271.en
dc.identifier.urihttp://hdl.handle.net/1993/2956
dc.language.isoengen_US
dc.rights©2002 IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Manitoba's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.en
dc.rightsrestricted accessen_US
dc.statusPeer revieweden
dc.subjectPROBABILITY DENSITY-FUNCTIONen
dc.subjectGENERATIONen
dc.subjectFIELDSen
dc.subjectCHAMBERen
dc.titleOn the statistics of a sum of harmonic waveformsen
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