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Canonical coordinates and the geometry of inference, rate, and capacity

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dc.contributor.authorMullis, Clifford T., 1943-, author
dc.contributor.authorScharf, Louis L., author
dc.contributor.authorIEEE, publisher
dc.date.accessioned2007-01-03T04:24:54Z
dc.date.available2007-01-03T04:24:54Z
dc.date.issued2000
dc.description.abstractCanonical correlations measure cosines of principal angles between random vectors. These cosines multiplicatively decompose concentration ellipses for second-order filtering and additively decompose information rate for the Gaussian channel. Moreover, they establish a geometrical connection between error covariance, error rate, information rate, and principal angles. There is a limit to how small these angles can be made, and this limit determines channel capacity.
dc.description.sponsorshipThis work was supported by the National Science Foundation under Contracts MIP-9529050 and ECS 9979400 and by the Office of Naval Research under Contracts N00014-89-J-1070 and N00014-00-1-0033.
dc.format.mediumborn digital
dc.format.mediumarticles
dc.identifier.bibliographicCitationScharf, Louis L. and Clifford T. Mullis, Canonical Coordinates and the Geometry of Inference, Rate, and Capacity, IEEE Transactions on Signal Processing 48, no. 3 (March 2000): 824-831.
dc.identifier.urihttp://hdl.handle.net/10217/749
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartofFaculty Publications
dc.rights©2000 IEEE.
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectfiltering
dc.subjectcanonical correlations
dc.subjectchannel capacity
dc.subjectcanonical coordinates
dc.subjectinformation rate
dc.titleCanonical coordinates and the geometry of inference, rate, and capacity
dc.typeText

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