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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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Journal Paper |
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Keywords:
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time frequency analysis |
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Citation:
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R. G. Baraniuk, "Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions," IEEE Transactions on Signal Processing, vol. 46, no. 9, pp. 2305-2314, 1998. |
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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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1998-09-01 |
