A Real Time Tracker of Complex Circularity

被引:0
|
作者
Kanna, Sithan [1 ]
Douglas, Scott C. [2 ]
Mandic, Danilo P. [1 ]
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept EEE, London SW7 2BT, England
[2] So Methodist Univ, Dept EE, Dallas, TX 75275 USA
关键词
Complex random variables; complex circularity; circularity coefficient; complex least mean square (CLMS); multi-channel signals; IMPROPRIETY; SIGNALS;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A new insight into the relationship between the complex circularity quotient and the coefficient of a linear minimum mean square estimator (LMMSE) which estimates a complex random variable from its complex conjugate is established. An adaptive version of this estimator, suitable for real time tracking of the degree of complex circularity is proposed based on the complex least mean square (CLMS) algorithm. For Gaussian data, the mean and mean square analyses show the effect of data non-circularity on the stability bounds of the real time circularity tracker. The concept is verified over simulations on both synthetic single-and multi-channel data and on real world wind signals with varying degrees of circularity.
引用
收藏
页码:129 / 132
页数:4
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