Beyond Time Frequency Analysis: Energy Densities in One and Many Dimensions
Author
Baraniuk, Richard G.
Date
1998-09-01Abstract
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
Published Version
Keyword
time frequency analysis; Time Frequency and Spectral Analysis; time frequency analysis
Type
Journal article
Citable link to this page
https://hdl.handle.net/1911/19707Metadata
Show full item recordCollections
- DSP Publications [508]
- ECE Publications [1468]