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.
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U2 - 10.1109/ISSPA.2007.4555327
DO - 10.1109/ISSPA.2007.4555327
M3 - Conference contribution
AN - SCOPUS:51549113053
SN - 1424407796
SN - 9781424407798
T3 - 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings
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
ER -