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

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Title: Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions
Author: Baraniuk, Richard G.
Type: Conference Paper
Keywords: group representation theory; signal energy densities
Citation: R. G. Baraniuk,"Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions," in IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),, pp. III-357-III-360.
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.
Date Published: 1994-04-01

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  • ECE Publications [1046 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.