DocumentCode
1245996
Title
On joint distributions for arbitrary variables
Author
Baraniuk, Richard G. ; Cohen, Leon
Author_Institution
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Volume
2
Issue
1
fYear
1995
Firstpage
10
Lastpage
12
Abstract
There has been considerable interest in the problem of joint representations for variables other than time and frequency. We compare the methods of Cohen (1991) and of Baraniuk and Jones (see Proc. IEEE Int. Conf. Acoust., Speech Signal Processing, ICASSP ´93, p.320-323, vol.III) and show their equivalence for variables that have the same commutator as time and frequency. In addition, we report the following very general result. All pairs of variables connected by a unitary transformation have joint distributions that are functionally equivalent.<>
Keywords
mathematical operators; signal processing; statistical analysis; arbitrary variables; commutator; frequency; joint distributions; signal analysis; signal processing; time; unitary characteristic function operator; unitary transformation; Eigenvalues and eigenfunctions; Integral equations; Quantum mechanics; Time frequency analysis;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/97.365519
Filename
365519
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