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Title:
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Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions |
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Author:
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Baraniuk, Richard G.
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Type:
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Conference Paper |
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Keywords:
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group representation theory; signal energy densities |
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Citation:
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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. |
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Abstract:
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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. |
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Date Published:
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1994-04-01 |
