{"date_created":"2023-01-30T11:52:02Z","publication":"Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.","year":"2009","_id":"40857","abstract":[{"lang":"eng","text":"We provide a review of independent component analysis (ICA) for complex-valued improper and noncircular random sources. An improper random signal is correlated with its complex conjugate, and a noncircular random signal has a rotationally variant probability distribution. We present methods for ICA using second-order statistics, and higher-order statistics. For ICA based on second-order statistics, we emphasize the key role played by the circularity coefficients, which are the canonical correlations between the source and the complex conjugate. For ICA based on higher-order statistics, we show how to extend algorithms for real-valued ICA to the complex domain using Wirtinger calculus."}],"citation":{"ieee":"P. J. Schreier, T. Adali, and L. L. Scharf, “On ICA of improper and noncircular sources,” in <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 2009, pp. 3561–3564, doi: <a href=\"https://doi.org/10.1109/ICASSP.2009.4960395\">10.1109/ICASSP.2009.4960395</a>.","short":"P.J. Schreier, T. Adali, L.L. Scharf, in: Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process., 2009, pp. 3561–3564.","chicago":"Schreier, Peter J., Tülay Adali, and Louis L. Scharf. “On ICA of Improper and Noncircular Sources.” In <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 3561–3564, 2009. <a href=\"https://doi.org/10.1109/ICASSP.2009.4960395\">https://doi.org/10.1109/ICASSP.2009.4960395</a>.","mla":"Schreier, Peter J., et al. “On ICA of Improper and Noncircular Sources.” <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 2009, pp. 3561–3564, doi:<a href=\"https://doi.org/10.1109/ICASSP.2009.4960395\">10.1109/ICASSP.2009.4960395</a>.","ama":"Schreier PJ, Adali T, Scharf LL. On ICA of improper and noncircular sources. In: <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i> ; 2009:3561–3564. doi:<a href=\"https://doi.org/10.1109/ICASSP.2009.4960395\">10.1109/ICASSP.2009.4960395</a>","apa":"Schreier, P. J., Adali, T., &#38; Scharf, L. L. (2009). On ICA of improper and noncircular sources. <i>Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.</i>, 3561–3564. <a href=\"https://doi.org/10.1109/ICASSP.2009.4960395\">https://doi.org/10.1109/ICASSP.2009.4960395</a>","bibtex":"@inproceedings{Schreier_Adali_Scharf_2009, title={On ICA of improper and noncircular sources}, DOI={<a href=\"https://doi.org/10.1109/ICASSP.2009.4960395\">10.1109/ICASSP.2009.4960395</a>}, booktitle={Proc.\\ IEEE Int.\\ Conf.\\ Acoustics, Speech and Signal Process.}, author={Schreier, Peter J. and Adali, Tülay and Scharf, Louis L.}, year={2009}, pages={3561–3564} }"},"date_updated":"2023-01-30T11:55:45Z","title":"On ICA of improper and noncircular sources","type":"conference","user_id":"43497","page":"3561–3564","status":"public","author":[{"full_name":"Schreier, Peter J.","first_name":"Peter J.","last_name":"Schreier"},{"last_name":"Adali","first_name":"Tülay","full_name":"Adali, Tülay"},{"full_name":"Scharf, Louis L.","first_name":"Louis L.","last_name":"Scharf"}],"doi":"10.1109/ICASSP.2009.4960395","department":[{"_id":"263"}]}