Resolution analysis of the T-class time-frequency distributions

L. Rankine, M. Mesbah, B. Boashash

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 languageEnglish
Title of host publication2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings
DOIs
Publication statusPublished - 2007
Event2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007 - Sharjah, United Arab Emirates
Duration: Feb 12 2007Feb 15 2007

Other

Other2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007
CountryUnited Arab Emirates
CitySharjah
Period2/12/072/15/07

ASJC Scopus subject areas

  • Signal Processing

Cite this

Rankine, L., Mesbah, M., & Boashash, B. (2007). Resolution analysis of the T-class time-frequency distributions. In 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings [4555327] https://doi.org/10.1109/ISSPA.2007.4555327

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 proceedingConference contribution

Rankine, L, Mesbah, M & Boashash, B 2007, Resolution analysis of the T-class time-frequency distributions. in 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings., 4555327, 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Sharjah, United Arab Emirates, 2/12/07. https://doi.org/10.1109/ISSPA.2007.4555327
Rankine L, Mesbah M, Boashash B. Resolution analysis of the T-class time-frequency distributions. In 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007. 4555327 https://doi.org/10.1109/ISSPA.2007.4555327
Rankine, L. ; Mesbah, M. ; Boashash, B. / Resolution analysis of the T-class time-frequency distributions. 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007.
@inproceedings{0111a2b60d904946a390841dfc817e66,
title = "Resolution analysis of the T-class time-frequency distributions",
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.",
author = "L. Rankine and M. Mesbah and B. Boashash",
year = "2007",
doi = "10.1109/ISSPA.2007.4555327",
language = "English",
isbn = "1424407796",
booktitle = "2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings",

}

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

AN - SCOPUS:51549113053

SN - 1424407796

SN - 9781424407798

BT - 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings

ER -