Power-Based Capon beamforming has recently been proposed to avoid the well-known cancellation effects between direct signal and correlated multipaths of the Capon beamformer. This novel technique exploits the fact that in some applications the power of the direct signal can be known at the receiver, in addition to the more usual assumptions of known spatial and temporal signatures. At the implementation stage, however, it involves solving a given two-dimensional rank minimization problem, which must be approximated to avoid inherent numerical limitations. In this work, we present an equivalent minimization problem that overcomes such limitations, and therefore leads to alternative implementations that can provide more precise and reliable results. The new approach is justified mathematically, and also supported by several simulations results.

中文翻译：

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基于 GNSS 功率的 Capon 波束形成器的替代实现

最近提出了基于功率的 Capon 波束成形，以避免 Capon 波束成形器的直接信号和相关多径之间众所周知的抵消效应。这种新技术利用了这样一个事实，即在某些应用中，除了已知空间和时间特征的更常见假设之外，在接收器处可以知道直接信号的功率。然而，在实现阶段，它涉及解决给定的二维秩最小化问题，必须对其进行近似以避免固有的数值限制。在这项工作中，我们提出了一个等效的最小化问题来克服这些限制，因此导致可以提供更精确和可靠结果的替代实现。新方法在数学上是合理的，并且还得到了几个模拟结果的支持。