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 timefrequency and time-scale distributions.
Original language | English (US) |
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Article number | 390016 |
Pages (from-to) | III357-III360 |
Journal | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |
Volume | 3 |
DOIs | |
State | Published - Jan 1 1994 |
Event | Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: Apr 19 1994 → Apr 22 1994 |
ASJC Scopus subject areas
- Software
- Signal Processing
- Electrical and Electronic Engineering