论文标题
适应性子空间检测的统一理论。第二部分:数值示例
A Unified Theory of Adaptive Subspace Detection. Part II: Numerical Examples
论文作者
论文摘要
本文致力于对同伴论文中提出的检测器的性能分析,其中提出了一个综合设计框架,以自适应检测子空间信号。该框架解决了子空间检测的四个变体:子空间只能以其维度知道或知道。连续访问子空间可能不受限制,也可能受到先前概率分布的约束。在本文中,使用蒙特卡洛模拟比较[1]中衍生在[1]中的广义似然比(GLR)检测器与GLR检测器的估计和拔球(EP)近似值。值得注意的是,EP近似首次出现在这里(至少据作者所知)。数值示例表明,GLR检测器可有效检测受系统或操作环境固有不确定性影响的部分知名信号。特别是,如果已知信号子空间,则GLR检测器倾向于优于EP探测器。相反,如果信号子空间仅通过其维度知道,则GLR和EP探测器的性能非常相似。
This paper is devoted to the performance analysis of the detectors proposed in the companion paper where a comprehensive design framework is presented for the adaptive detection of subspace signals. The framework addresses four variations on subspace detection: the subspace may be known or known only by its dimension; consecutive visits to the subspace may be unconstrained or they may be constrained by a prior probability distribution. In this paper, Monte Carlo simulations are used to compare the generalized likelihood ratio (GLR) detectors derived in [1] with estimate-and-plug (EP) approximations of the GLR detectors. Remarkably, the EP approximations appear here for the first time (at least to the best of the authors' knowledge). The numerical examples indicate that GLR detectors are effective for the detection of partially-known signals affected by inherent uncertainties due to the system or the operating environment. In particular, if the signal subspace is known, GLR detectors tend to outperform EP detectors. If, instead, the signal subspace is known only by its dimension, the performance of GLR and EP detectors is very similar.