Abstract
The T-class of time-frequency distributions (TFDs) is a newly proposed subclass of the general quadratic TFD class. The TFDs of this subclass are characterized by their time-lag kernels which are functions of time only. In this paper, we report the results of our investigation related to the time and frequency resolution of the T-class TFDs. It is shown, analytically, for the case of a linear chirp, that the frequency resolution is a function of both the smoothing parameter of the TFD kernel and the rate of change in instantaneous frequency. The results are then illustrated with a number of synthetic examples.
| Original language | English |
|---|---|
| Title of host publication | 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings |
| DOIs | |
| Publication status | Published - 2007 |
| Event | 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007 - Sharjah, United Arab Emirates Duration: Feb 12 2007 → Feb 15 2007 |
Other
| Other | 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007 |
|---|---|
| Country | United Arab Emirates |
| City | Sharjah |
| Period | 2/12/07 → 2/15/07 |
ASJC Scopus subject areas
- Signal Processing
Cite this
Resolution analysis of the T-class time-frequency distributions. / Rankine, L.; Mesbah, M.; Boashash, B.
2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007. 4555327.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Resolution analysis of the T-class time-frequency distributions
AU - Rankine, L.
AU - Mesbah, M.
AU - Boashash, B.
PY - 2007
Y1 - 2007
N2 - The T-class of time-frequency distributions (TFDs) is a newly proposed subclass of the general quadratic TFD class. The TFDs of this subclass are characterized by their time-lag kernels which are functions of time only. In this paper, we report the results of our investigation related to the time and frequency resolution of the T-class TFDs. It is shown, analytically, for the case of a linear chirp, that the frequency resolution is a function of both the smoothing parameter of the TFD kernel and the rate of change in instantaneous frequency. The results are then illustrated with a number of synthetic examples.
AB - The T-class of time-frequency distributions (TFDs) is a newly proposed subclass of the general quadratic TFD class. The TFDs of this subclass are characterized by their time-lag kernels which are functions of time only. In this paper, we report the results of our investigation related to the time and frequency resolution of the T-class TFDs. It is shown, analytically, for the case of a linear chirp, that the frequency resolution is a function of both the smoothing parameter of the TFD kernel and the rate of change in instantaneous frequency. The results are then illustrated with a number of synthetic examples.
UR - http://www.scopus.com/inward/record.url?scp=51549113053&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=51549113053&partnerID=8YFLogxK
U2 - 10.1109/ISSPA.2007.4555327
DO - 10.1109/ISSPA.2007.4555327
M3 - Conference contribution
SN - 1424407796
SN - 9781424407798
BT - 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings
ER -