{"status":"public","_id":"40881","date_created":"2023-01-30T11:52:06Z","doi":"10.1109/ICASSP.2007.366884","user_id":"43497","author":[{"full_name":"Schreier, Peter J.","last_name":"Schreier","first_name":"Peter J."}],"year":"2007","citation":{"short":"P.J. Schreier, in: Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process., 2007, pp. 1133–1136.","ieee":"P. J. Schreier, “A New Interpretation of Bilinear Time-Frequency Distributions,” in <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 2007, vol. 3, pp. 1133–1136, doi: <a href=\"https://doi.org/10.1109/ICASSP.2007.366884\">10.1109/ICASSP.2007.366884</a>.","bibtex":"@inproceedings{Schreier_2007, title={A New Interpretation of Bilinear Time-Frequency Distributions}, volume={3}, DOI={<a href=\"https://doi.org/10.1109/ICASSP.2007.366884\">10.1109/ICASSP.2007.366884</a>}, booktitle={Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.}, author={Schreier, Peter J.}, year={2007}, pages={1133–1136} }","ama":"Schreier PJ. A New Interpretation of Bilinear Time-Frequency Distributions. In: <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i> Vol 3. ; 2007:1133–1136. doi:<a href=\"https://doi.org/10.1109/ICASSP.2007.366884\">10.1109/ICASSP.2007.366884</a>","chicago":"Schreier, Peter J. “A New Interpretation of Bilinear Time-Frequency Distributions.” In <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 3:1133–1136, 2007. <a href=\"https://doi.org/10.1109/ICASSP.2007.366884\">https://doi.org/10.1109/ICASSP.2007.366884</a>.","mla":"Schreier, Peter J. “A New Interpretation of Bilinear Time-Frequency Distributions.” <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, vol. 3, 2007, pp. 1133–1136, doi:<a href=\"https://doi.org/10.1109/ICASSP.2007.366884\">10.1109/ICASSP.2007.366884</a>.","apa":"Schreier, P. J. (2007). A New Interpretation of Bilinear Time-Frequency Distributions. <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, <i>3</i>, 1133–1136. <a href=\"https://doi.org/10.1109/ICASSP.2007.366884\">https://doi.org/10.1109/ICASSP.2007.366884</a>"},"type":"conference","volume":3,"department":[{"_id":"263"}],"page":"1133–1136","intvolume":"         3","date_updated":"2023-01-30T11:55:13Z","title":"A New Interpretation of Bilinear Time-Frequency Distributions","abstract":[{"lang":"eng","text":"Wigner’s theorem states that there exists no bilinear time-frequency distribution (TFD) that has correct marginals and is nonnegative everywhere. This means that any attempt to interpret a bilinear TFD as an energy or power distribution must be fraught with problems. In this paper, an alternative perspective is proposed, which allows a local interpretation at a point in the time-frequency plane. This approach is based on analyzing the properties of a chirping ellipse that, at a given time instant, gives the best local approximation of the signal from a given frequency. This chirping ellipse is described in terms of its mean shape, orientation, and direction of polarization (counterclockwise or clockwise). A time-frequency coherence measures the quality of the approximation that this ellipse presents. The ellipse parameters and the time-frequency coherence can be expressed in terms of the Rihaczek TFD"}],"publication":"Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process."}