Augmented Performance Bounds on Strictly Linear and Widely Linear Estimators With Complex Data

Augmented Performance Bounds on Strictly Linear and Widely Linear Estimators With Complex Data
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具有复杂数据的严格线性和宽线性估计器的增强性能界限

DOI:
10.1109/tsp.2017.2773428
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发表时间:
2018-01
影响因子:
5.4
通讯作者:
ic Danilo P.
ic Danilo P.
中科院分区:
工程技术1区
文献类型:
--
作者:
Xia Yili;M;ic Danilo P.

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新的物理见解提供严格的线性(SL)和广泛的线性(WL)估计的复值数据的一般性,适当的(二阶循环)和不适当的(二阶非循环)的性能。这是通过首先执行一个新的互补均方误差(CMSE)分析,以量化程度的SL和WL估计误差的不正确(二阶非圆)。的SL和WL估计之间的CMSE差异的确切界限进行了研究,以表明,只有一个标准的MSE分析和建议的CMSE分析的联合考虑有足够的自由度,严格考虑WL和SL估计的性能。这还使得可以严格地量化来自各个真实的和虚信道的对WL性能优势的贡献,这是仅通过使用标准MSE分析不可能获得的重要发现。
Novel physical insights are provided into the performances of strictly linear (SL) and widely linear (WL) estimators of the generality of complex-valued data, both proper (second order circular) and improper (second-order noncircular). This is achieved by first performing a novel complementary mean square error (CMSE) analysis, in order to quantify the degrees of improperness (second order noncircularity) of the SL and WL estimation errors. The exact bounds on the CMSE difference between the SL and WL estimators are investigated to show that only a joint consideration of the standard MSE analysis and the proposed CMSE analysis has enough degrees of freedom for a rigorous account of the performance of WL and SL estimators. This also makes it possible to rigourously quantify the contributions to the WL performance advantage from the individual real and imaginary channels, an important finding not possible to obtain by using the standard MSE analysis only.
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