On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables
| dc.citation.bibtexName | inproceedings | en_US |
| dc.citation.conferenceName | IEEE Transactions on Signal Processing | en_US |
| dc.contributor.author | Sayeed, Akbar M. | en_US |
| dc.contributor.org | Digital Signal Processing (http://dsp.rice.edu/) | en_US |
| dc.date.accessioned | 2007-10-31T01:04:20Z | en_US |
| dc.date.available | 2007-10-31T01:04:20Z | en_US |
| dc.date.issued | 1997-04-20 | en_US |
| dc.date.modified | 2004-01-22 | en_US |
| dc.date.note | 2004-01-09 | en_US |
| dc.date.submitted | 1997-04-20 | en_US |
| dc.description | Conference Paper | en_US |
| 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 <i>all</i> 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. | en_US |
| dc.identifier.citation | A. M. Sayeed, "On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables," 1997. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/20333 | en_US |
| dc.language.iso | eng | en_US |
| dc.subject | Temporary | en_US |
| dc.subject.keyword | Temporary | en_US |
| dc.subject.other | Time Frequency and Spectral Analysis | en_US |
| dc.title | On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables | en_US |
| dc.type | Conference paper | en_US |
| dc.type.dcmi | Text | en_US |
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