{"date_created":"2023-01-30T11:52:03Z","publication":"{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.","_id":"40864","year":"2008","citation":{"apa":"Schreier, P. J. (2008). Polarization Ellipse Analysis of Nonstationary Random Signals. <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, <i>56</i>(9), 4330–4339. <a href=\"https://doi.org/10.1109/TSP.2008.925961\">https://doi.org/10.1109/TSP.2008.925961</a>","ama":"Schreier PJ. Polarization Ellipse Analysis of Nonstationary Random Signals. <i>{IEEE} {T}rans\\ {S}ignal\\ {P}rocess</i>. 2008;56(9):4330–4339. doi:<a href=\"https://doi.org/10.1109/TSP.2008.925961\">10.1109/TSP.2008.925961</a>","mla":"Schreier, Peter J. “Polarization Ellipse Analysis of Nonstationary Random Signals.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 56, no. 9, 2008, pp. 4330–4339, doi:<a href=\"https://doi.org/10.1109/TSP.2008.925961\">10.1109/TSP.2008.925961</a>.","chicago":"Schreier, Peter J. “Polarization Ellipse Analysis of Nonstationary Random Signals.” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i> 56, no. 9 (2008): 4330–4339. <a href=\"https://doi.org/10.1109/TSP.2008.925961\">https://doi.org/10.1109/TSP.2008.925961</a>.","short":"P.J. Schreier, {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess. 56 (2008) 4330–4339.","ieee":"P. J. Schreier, “Polarization Ellipse Analysis of Nonstationary Random Signals,” <i>{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.</i>, vol. 56, no. 9, pp. 4330–4339, 2008, doi: <a href=\"https://doi.org/10.1109/TSP.2008.925961\">10.1109/TSP.2008.925961</a>.","bibtex":"@article{Schreier_2008, title={Polarization Ellipse Analysis of Nonstationary Random Signals}, volume={56}, DOI={<a href=\"https://doi.org/10.1109/TSP.2008.925961\">10.1109/TSP.2008.925961</a>}, number={9}, journal={{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.}, author={Schreier, Peter J.}, year={2008}, pages={4330–4339} }"},"abstract":[{"text":"We present a novel way of extending rotary-component and polarization analysis to nonstationary random signals. If a complex signal is resolved into counterclockwise and clockwise rotating phasors at one particular frequency only, it traces out an ellipse in the complex plane. Rotary-component analysis characterizes this ellipse in terms of its shape and orientation. Polarization analysis looks at the coherence between counterclockwise and clockwise rotating phasors and whether there is a preferred rotation direction of the ellipse (counterclockwise or clockwise). In the nonstationary case, we replace this ellipse with a time-dependent local ellipse that, at a given time instant, gives the best local approximation of the signal from a given frequency component. This local ellipse is then analyzed in terms of its shape, orientation, and degree of polarization. A time-frequency coherence measures how well the local ellipse approximates the signal. The ellipse parameters and the time-frequency coherence can be expressed in terms of the Rihaczek time-frequency distribution. Under coordinate rotation, the ellipse shape, the degree of polarization, and the time-frequency coherence are invariant, and the ellipse orientation is covariant. The methods presented in this paper provide an alternative to ellipse decompositions based on wavelet ridge analysis.","lang":"eng"}],"title":"Polarization Ellipse Analysis of Nonstationary Random Signals","date_updated":"2023-01-30T11:55:58Z","user_id":"43497","type":"journal_article","page":"4330–4339","intvolume":"        56","author":[{"first_name":"Peter J.","last_name":"Schreier","full_name":"Schreier, Peter J."}],"status":"public","issue":"9","volume":56,"doi":"10.1109/TSP.2008.925961","department":[{"_id":"263"}]}