{"issue":"9","year":"2008","status":"public","department":[{"_id":"263"}],"author":[{"first_name":"Peter J.","full_name":"Schreier, Peter J.","last_name":"Schreier"}],"volume":56,"page":"4330–4339","date_created":"2023-01-30T11:52:03Z","type":"journal_article","user_id":"43497","doi":"10.1109/TSP.2008.925961","date_updated":"2023-01-30T11:55:58Z","_id":"40864","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"}],"intvolume":" 56","citation":{"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,” {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess., vol. 56, no. 9, pp. 4330–4339, 2008, doi: 10.1109/TSP.2008.925961.","ama":"Schreier PJ. Polarization Ellipse Analysis of Nonstationary Random Signals. {IEEE} {T}rans\\ {S}ignal\\ {P}rocess. 2008;56(9):4330–4339. doi:10.1109/TSP.2008.925961","bibtex":"@article{Schreier_2008, title={Polarization Ellipse Analysis of Nonstationary Random Signals}, volume={56}, DOI={10.1109/TSP.2008.925961}, number={9}, journal={{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess.}, author={Schreier, Peter J.}, year={2008}, pages={4330–4339} }","chicago":"Schreier, Peter J. “Polarization Ellipse Analysis of Nonstationary Random Signals.” {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess. 56, no. 9 (2008): 4330–4339. https://doi.org/10.1109/TSP.2008.925961.","mla":"Schreier, Peter J. “Polarization Ellipse Analysis of Nonstationary Random Signals.” {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess., vol. 56, no. 9, 2008, pp. 4330–4339, doi:10.1109/TSP.2008.925961.","apa":"Schreier, P. J. (2008). Polarization Ellipse Analysis of Nonstationary Random Signals. {IEEE} {T}rans.\\ {S}ignal\\ {P}rocess., 56(9), 4330–4339. https://doi.org/10.1109/TSP.2008.925961"},"title":"Polarization Ellipse Analysis of Nonstationary Random Signals","publication":"{IEEE} {T}rans.\\ {S}ignal\\ {P}rocess."}