Joint distributions for arbitrary variables

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We compare the methods of Cohen and of Baraniuk and Jones for obtaining joint distributions for arbitrary variables. We show that the two methods produce identical results for variables whose associated operators are obtained via a unitary transformation of the time and frequency operators. In addition, we generalize this result and show that all pairs of variables connected by a unitary transformation have joint distributions that are identical in functional form. This result shows how pairs of variables can be grouped into classes whose joint distributions are functionally equivalent and, therefore, share equivalent properties.

Original languageEnglish
Title of host publicationUnknown Host Publication Title
Editors Anon
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages520-523
Number of pages4
StatePublished - Dec 1 1994
EventProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Philadelphia, PA, USA
Duration: Oct 25 1994Oct 28 1994

Other

OtherProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CityPhiladelphia, PA, USA
Period10/25/9410/28/94

ASJC Scopus subject areas

  • Engineering(all)

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