Abstract
We propose new time-frequency (TF) symbols as the narrowband Weyl symbol (WS) smoothed by an appropriate kernel. These new symbols preserve time and frequency shifts on a random process. Choosing specific smoothing kernels, we can obtain various new symbols (e.g. Levin symbol and Page symbol). We link a quadratic form of the signal to the new symbols and Cohen's class of quadratic time-frequency representations, and we derive a simple kernel constraint for unitary symbols. We also propose an affine class of symbols in terms of the wideband Weyl symbol (P 0WS). These symbols preserve scale changes and time shifts. Furthermore, we generalize the smoothed versions of the WS and P 0WS to analyze random processes undergoing generalized frequency shifts or generalized time shifts.
| Original language | English (US) |
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| Title of host publication | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |
| Publisher | IEEE |
| Pages | 1345-1348 |
| Number of pages | 4 |
| Volume | 3 |
| State | Published - 1999 |
| Externally published | Yes |
| Event | Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP-99) - Phoenix, AZ, USA Duration: Mar 15 1999 → Mar 19 1999 |
Other
| Other | Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP-99) |
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| City | Phoenix, AZ, USA |
| Period | 3/15/99 → 3/19/99 |
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics