Show simple item record

dc.contributor.authorSayeed, Akbar M.
dc.creatorSayeed, Akbar M. 2007-10-31T01:04:20Z 2007-10-31T01:04:20Z 1997-04-20 1997-04-20
dc.description Conference Paper
dc.description.abstract Generalizing the concept of time-frequency representations, Cohen has recently proposed a general method, based on operator correspondence rules, for generating joint distributions of arbitrary variables. As an alternative to considering all such rules, which is a practical impossibility in general, Cohen has proposed the kernel method in which different distributions are generated from a fixed rule via an arbitrary kernel. In this paper, we derive a simple but rather stringent necessary condition, on the underlying operators, for the kernel method (with the kernel functionally independent of the variables) to generate all bilinear distributions. Of the specific pairs of variables that have been studied, essentially only time and frequency satisfy the condition; in particular, the important variables of time and scale do not. The results warrant further study for a systematic characterization of bilinear distributions in Cohen's method.
dc.language.iso eng
dc.subject.otherTime Frequency and Spectral Analysis
dc.title On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables
dc.type Conference paper 2004-01-09
dc.citation.bibtexName inproceedings 2004-01-22
dc.contributor.orgDigital Signal Processing (
dc.citation.conferenceName IEEE Transactions on Signal Processing
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.citation A. M. Sayeed, "On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables," 1997.

Files in this item


This item appears in the following Collection(s)

  • ECE Publications [1278]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

Show simple item record