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Joint Distributions for Arbitrary Variables

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Title: Joint Distributions for Arbitrary Variables
Author: Cohen, Leon; Baraniuk, Richard G.
Type: Conference paper
Citation: L. Cohen and R. G. Baraniuk, "Joint Distributions for Arbitrary Variables," pp. 520-523, 1994.
Abstract: We compare the methods of Cohen (1971) and of Baraniuk and Jones (see Proc. IEEE ICASSP-93, p.320-323, 1993) 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.
Date Published: 1994-10-01

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  • ECE Publications [1048 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.