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Acoustics, Speech, and Signal Processing, IEEE International Conference on (2009)
Taipei, Taiwan
Apr. 19, 2009 to Apr. 24, 2009
ISBN: 978-1-4244-2353-8
pp: 3565-3568
Jan Eriksson , Helsinki University of Technology, SMARAD CoE, Signal Processing and Acoustics, P.O. Box 3000, FIN-02015 TKK, Finland
Esa Ollila , Helsinki University of Technology, SMARAD CoE, Signal Processing and Acoustics, P.O. Box 3000, FIN-02015 TKK, Finland
Visa Koivunen , Helsinki University of Technology, SMARAD CoE, Signal Processing and Acoustics, P.O. Box 3000, FIN-02015 TKK, Finland
ABSTRACT
Complex random signals play an increasingly important role in array, communications, and biomedical signal processing and related fields. However, the mathematical foundations of complex-valued signals and tools developed for handling them are scattered in literature. There appears to be a need for a concise, unified, and rigorous treatment of such topics. In this paper such a treatment is provided. Moreover, we establish connections between seemingly unrelated objects such as real differentiability and circularity. In addition, a novel complex-valued extension of Taylor series is presented and a measure for circularity is proposed.
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CITATION

E. Ollila, J. Eriksson and V. Koivunen, "Statistics for complex random variables revisited," Acoustics, Speech, and Signal Processing, IEEE International Conference on(ICASSP), Taipei, Taiwan, 2009, pp. 3565-3568.
doi:10.1109/ICASSP.2009.4960396
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