Joint Distributions of Arbitrary Variables Made Easy

Authors:
Richard G. Baraniuk
Affiliations:
Department of Electrical and Computer Engineering, Rice University, 6100 South Main Street, Houston, TX 77005, USA
Venue:
Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis
Year:
1998

Citing 3
Cited 1

Joint Distributions of Arbitrary Variables Made Easy

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Joint Distributions of Arbitrary Variables Made Easy

Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis

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Abstract

We propose a simple frameworkfor studying certain distributions of variables beyond time-frequencyand time-scale. When applicable, our results turn the theoryof joint distributions of arbitrary variables into an easy exerciseof coordinate transformation. While straightforward, the methodcan generate many distributions previously attainable only bythe general construction of Cohen, including distributions oftime versus inverse frequency, time versus Mellin transform (scale),and time versus chirp. In addition to providing insight intothese new signal analysis tools, warp-based distributions haveefficient implementations for potential use in applications.