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    Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions

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    Author
    Baraniuk, Richard G.
    Date
    1998-09-01
    Abstract
    Given a unitary operator A representing a physical quantity of interest, we employ concepts from group representation theory to define two natural signal energy densities for A. The first is invariant to A and proves useful when the effect of A is to be ignored; the second is covariant to A and measures the "A" content of signals. The construction is quite general and is also easily extended to the multi-operator case, which generalizes previously derived joint densities such as the time-frequency and time-scale distributions
    Description
    Journal Paper
    Citation
    R. G. Baraniuk, "Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions," IEEE Transactions on Signal Processing, vol. 46, no. 9, 1998.
    Published Version
    http://dx.doi.org/10.1109/78.709511
    Keyword
    time frequency analysis; Time Frequency and Spectral Analysis; time frequency analysis
    Type
    Journal article
    Citable link to this page
    https://hdl.handle.net/1911/19707
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    • DSP Publications [508]
    • ECE Publications [1468]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
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    Site Map