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 language | English |
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Title of host publication | Unknown Host Publication Title |
Editors | Anon |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 520-523 |
Number of pages | 4 |
State | Published - Dec 1 1994 |
Event | Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Philadelphia, PA, USA Duration: Oct 25 1994 → Oct 28 1994 |
Other
Other | Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis |
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City | Philadelphia, PA, USA |
Period | 10/25/94 → 10/28/94 |
ASJC Scopus subject areas
- Engineering(all)