论文标题
对非圆信号的广泛线性MVDR光束器的完整二阶分析
A Full Second-Order Analysis of the Widely Linear MVDR Beamformer for Noncircular Signals
论文作者
论文摘要
引入了对广泛线性（WL）最小方差失真响应（MVDR）光束器的全面性能分析。尽管已知WL MVDR胜过其严格线性的对应方，但对于非圆形复合物信号的Capon Beamformer，现有方法可提供有限的物理见解，因为它们明确或隐含地忽略了输出干扰和噪声的互补二阶（SO）互补的二阶（SO）统计量（IN）。为此，我们利用了全部输出的统计数据，以引入WL MVDR光束器的完整性能分析框架。这使得可以将WL MVDR Beamformer W.R.T.的总体信号与干扰加上噪声比（SINR）增益分开。沿同相（i）和正交（q）通道沿单个贡献中的Capon One。接下来，通过考虑未知的感兴趣信号（SOI）被任意数量的正交非循环干扰损坏，我们进一步揭示了I和Q频道中SINR收益的分布，并表明，在所有空间情况下，这些性能优势在插话率如此无流量时会更加明显。提供说明性的数值模拟以支持理论结果。
A full performance analysis of the widely linear (WL) minimum variance distortionless response (MVDR) beamformer is introduced. While the WL MVDR is known to outperform its strictly linear counterpart, the Capon beamformer, for noncircular complex signals, the existing approaches provide limited physical insights, since they explicitly or implicitly omit the complementary second-order (SO) statistics of the output interferences and noise (IN). To this end, we exploit the full SO statistics of the output IN to introduce a full SO performance analysis framework for the WL MVDR beamformer. This makes it possible to separate the overall signal-to-interference plus noise ratio (SINR) gain of the WL MVDR beamformer w.r.t. the Capon one into the individual contributions along the in-phase (I) and quadrature (Q) channels. Next, by considering the reception of the unknown signal of interest (SOI) corrupted by an arbitrary number of orthogonal noncircular interferences, we further unveil the distribution of SINR gains in both the I and Q channels, and show that in almost all the spatial cases, these performance advantages are more pronounced when the SO noncircularity rate of the interferences increases. Illustrative numerical simulations are provided to support the theoretical results.
