Abstract
In the same spirit that the quadratic Wigner distribution and the Altes-Marinovic Q-distribution were extended to higher order time-frequency representations, we propose the new higher order Bertrand P0-distribution (HO-P0D), as an extension of the quadratic Bertrand P0-distribution. We show that the new HO-P0D preserves scale changes, and up to a known sign, constant time and hyperbolic time shifts on the signal. We also discuss the importance of the new HO-P0D, derive some of its desirable properties, discuss its limitations, and derive a higher order class consisting of smoothed HO-P0Ds. Finally, we propose a formulation for a higher order extension of the quadratic affine class which preserves scale changes and constant time shifts.
| Original language | English (US) |
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| Title of host publication | Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis |
| Place of Publication | Piscataway, NJ, United States |
| Publisher | IEEE |
| Pages | 325-328 |
| Number of pages | 4 |
| State | Published - 1998 |
| Externally published | Yes |
| Event | Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Pittsburgh, PA, USA Duration: Oct 6 1998 → Oct 9 1998 |
Other
| Other | Proceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis |
|---|---|
| City | Pittsburgh, PA, USA |
| Period | 10/6/98 → 10/9/98 |
ASJC Scopus subject areas
- General Engineering