EDICS Number SP--2.3.1 Time-Frequency Signal Analysis 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. We also consider joint densities for multiple operators. In the process, we provide an alternative interpretation of Cohen's general construction for joint distributions of arbitrary variables.
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