{"abstract":[{"lang":"eng","text":"Recently, a number of papers have been published that show significant performance gains can be obtained by accounting for the fact that communication signals can be improper. In this paper, we derive a general result comparing the performance of conventional processing, which ignores the improper nature of signals, with processing that takes it into account. In particular, for an estimation and a detection problem, we find that the performance gain, as measured by mean-squared error and deflection, respectively, can be as large as a factor of 2, but no larger. In a communications example, we show how this finding generalizes the result that coherent processing enjoys a 3 dB gain over non-coherent processing."}],"_id":"40902","citation":{"mla":"Schreier, Peter J., et al. “A Unified Approach to Performance Comparisons between Linear and Widely Linear Processing.” <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 2003, pp. 114–117, doi:<a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>.","bibtex":"@inproceedings{Schreier_Scharf_Mullis_2003, title={A unified approach to performance comparisons between linear and widely linear processing}, DOI={<a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>}, booktitle={Proc.\\ IEEE Works.\\ Statistical Signal Proces.}, author={Schreier, Peter J. and Scharf, Louis L. and Mullis, Clifford T.}, year={2003}, pages={114–117} }","apa":"Schreier, P. J., Scharf, L. L., &#38; Mullis, C. T. (2003). A unified approach to performance comparisons between linear and widely linear processing. <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 114–117. <a href=\"https://doi.org/10.1109/SSP.2003.1289353\">https://doi.org/10.1109/SSP.2003.1289353</a>","chicago":"Schreier, Peter J., Louis L. Scharf, and Clifford T. Mullis. “A Unified Approach to Performance Comparisons between Linear and Widely Linear Processing.” In <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 114–117, 2003. <a href=\"https://doi.org/10.1109/SSP.2003.1289353\">https://doi.org/10.1109/SSP.2003.1289353</a>.","ieee":"P. J. Schreier, L. L. Scharf, and C. T. Mullis, “A unified approach to performance comparisons between linear and widely linear processing,” in <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i>, 2003, pp. 114–117, doi: <a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>.","ama":"Schreier PJ, Scharf LL, Mullis CT. A unified approach to performance comparisons between linear and widely linear processing. In: <i>Proc.\\ IEEE Works.\\ Statistical Signal Proces.</i> ; 2003:114–117. doi:<a href=\"https://doi.org/10.1109/SSP.2003.1289353\">10.1109/SSP.2003.1289353</a>","short":"P.J. Schreier, L.L. Scharf, C.T. Mullis, in: Proc.\\ IEEE Works.\\ Statistical Signal Proces., 2003, pp. 114–117."},"publication":"Proc.\\ IEEE Works.\\ Statistical Signal Proces.","page":"114–117","date_updated":"2023-01-30T11:52:52Z","doi":"10.1109/SSP.2003.1289353","status":"public","date_created":"2023-01-30T11:52:09Z","title":"A unified approach to performance comparisons between linear and widely linear processing","year":"2003","author":[{"first_name":"Peter J.","full_name":"Schreier, Peter J.","last_name":"Schreier"},{"first_name":"Louis L.","full_name":"Scharf, Louis L.","last_name":"Scharf"},{"first_name":"Clifford T.","last_name":"Mullis","full_name":"Mullis, Clifford T."}],"department":[{"_id":"263"}],"type":"conference","user_id":"43497"}