Reducing interference in stochastic time-frequency analysis without losing information
P.J. Schreier, L.L. Scharf, in: Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers, 2002, pp. 1565–1570.
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Conference Paper
Author
Schreier, Peter J.;
Scharf, Louis L.
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Abstract
The analytic signal is commonly used in stochastic time-frequency analysis in Cohen’s class to reduce interference terms. However, we show that the usual time-frequency representation (TFR) based on the analytic signal gives only an incomplete signal description. This is because the analytic signal constructed from a non-stationary real signal is in general improper, which means that it has non-zero complementary correlation. We show how to augment the standard TFR by a complementary TFR to obtain a complete second-order characterization of the signal while still reducing interference terms compared to the TFR of the real signal.
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Proceedings Title
Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers
Volume
2
Page
1565–1570
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Schreier PJ, Scharf LL. Reducing interference in stochastic time-frequency analysis without losing information. In: Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers. Vol 2. ; 2002:1565–1570. doi:10.1109/ACSSC.2002.1197041
Schreier, P. J., & Scharf, L. L. (2002). Reducing interference in stochastic time-frequency analysis without losing information. Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers, 2, 1565–1570. https://doi.org/10.1109/ACSSC.2002.1197041
@inproceedings{Schreier_Scharf_2002, title={Reducing interference in stochastic time-frequency analysis without losing information}, volume={2}, DOI={10.1109/ACSSC.2002.1197041}, booktitle={Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers}, author={Schreier, Peter J. and Scharf, Louis L.}, year={2002}, pages={1565–1570} }
Schreier, Peter J., and Louis L. Scharf. “Reducing Interference in Stochastic Time-Frequency Analysis without Losing Information.” In Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers, 2:1565–1570, 2002. https://doi.org/10.1109/ACSSC.2002.1197041.
P. J. Schreier and L. L. Scharf, “Reducing interference in stochastic time-frequency analysis without losing information,” in Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers, 2002, vol. 2, pp. 1565–1570, doi: 10.1109/ACSSC.2002.1197041.
Schreier, Peter J., and Louis L. Scharf. “Reducing Interference in Stochastic Time-Frequency Analysis without Losing Information.” Proc. 36th\ Asilomar Conf.\ Signals Syst.\ Computers, vol. 2, 2002, pp. 1565–1570, doi:10.1109/ACSSC.2002.1197041.
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