Resolution analysis of the T-class time-frequency distributions

L. Rankine; M. Mesbah; B. Boashash

doi:10.1109/ISSPA.2007.4555327

Resolution analysis of the T-class time-frequency distributions

L. Rankine^*, M. Mesbah, B. Boashash

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings
DOIs	https://doi.org/10.1109/ISSPA.2007.4555327
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

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10.1109/ISSPA.2007.4555327

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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

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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.",

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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.

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

T2 - 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007

Y2 - 12 February 2007 through 15 February 2007

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Resolution analysis of the T-class time-frequency distributions

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