对称稳定分布噪声下基于广义相关熵的DOA估计新方法

A Novel Generalized Correntropy Based Method for Direction of Arrival Estimation in Symmetric Alpha Stable Noise Environments

针对稳定随机变量有限二阶矩不存在的特点,该文定义了一种新的广义相关熵,并从理论上证明了对称稳定分布随机变量广义相关熵的有界性。此外,提出了一种稳定分布噪声下基于最小广义相关熵准则的DOA估计新方法,给出了一种迭代优化算法并通过仿真实验分析了算法的收敛性。仿真结果表明,与现有基于分数低阶矩的FLOM-MUSIC、基于类相关熵的CRCO-MUSIC以及基于lp范数的ACO-MUSIC算法相比,所提方法可以获得更好的估计结果,尤其是在高脉冲性噪声环境下具有更加明显的优势。

To overcome the limitation that the alpha stable distributed variable possesses infinite second-order moment, a novel generalized correntropy is defined and the bounded property of the generalized correntropy for the symmetric alpha stable variable is proved. Furthermore, a novel minimum generalized correntropy criterion based DOA estimation method for impulsive noise is proposed, and an iterative optimization algorithm is presented, the convergence of which is analyzed by simulation experiments. The simulation results demonstrate that the proposed method can get better estimation results than the fractional lower order moments based FLOM-MUSIC, the correntropy-like based CRCO-MUSIC and thelpnorm based ACO-MUSIC methods, especially in the highly impulsive noise environments.