On the S-method based instantaneous frequency estimation

The performance analysis of the S-method (SM) as an instantaneous frequency (IF) estimator, for the case of multicomponent signals, is derived. It has been shown that, when the components are separated in time-frequency (TF) plane, the results obtained for each of them separately can be the same as in the case when all components exist. Also, these results can outperform the ones obtained by the spectrogram (and, consequently, by the reduced interference distributions (RID)) and pseudo Wigner distribution (WD) in the IF estimation of multicomponent signals. Theoretical results are statistically confirmed.

[1]  Barry G. Quinn,et al.  Estimating frequency by interpolation using Fourier coefficients , 1994, IEEE Trans. Signal Process..

[2]  Srdjan Stankovic,et al.  An architecture for the realization of a system for time-frequency signal analysis , 1997 .

[3]  Igor Djurovic,et al.  A virtual instrument for time-frequency analysis , 1999, IEEE Trans. Instrum. Meas..

[4]  LJubisa Stankovic,et al.  Instantaneous frequency estimation using the Wigner distribution with varying and data-driven window length , 1998, IEEE Trans. Signal Process..

[5]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals , 1992, Proc. IEEE.

[6]  Ljubisa Stankovic,et al.  Performance of spectrogram as IF estimator , 2001 .

[7]  LJubisa Stankovic,et al.  Time-frequency analysis of multiple resonances in combustion engine signals , 1999, Signal Process..

[8]  Ljubisa Stankovic,et al.  Performance of quadratic time-frequency distributions as instantaneous frequency estimators , 2003, IEEE Trans. Signal Process..

[9]  Kon Max Wong,et al.  Estimation of the time-varying frequency of a signal: the Cramer-Rao bound and the application of Wigner distribution , 1990, IEEE Trans. Acoust. Speech Signal Process..

[10]  Khaled H. Hamed,et al.  Time-frequency analysis , 2003 .

[11]  Ljubisa Stankovic,et al.  A method for time-frequency analysis , 1994, IEEE Trans. Signal Process..

[12]  B.C. Lovell,et al.  The statistical performance of some instantaneous frequency estimators , 1992, IEEE Trans. Signal Process..

[13]  Zoran Petrović,et al.  Unified approach to noise analysis in the Wigner distribution and spectrogram , 1996 .

[14]  F. Taylor,et al.  Estimation of instantaneous frequency using the discrete Wigner distribution , 1990 .