脉冲噪声条件下的相关熵谱估计

Correntropy Method for Spectrum Estimation in Impulsive Noise Environment

  • 摘要: 基于相关函数的常规功率谱估计方法在脉冲噪声环境中性能下降明显,受大脉冲干扰时甚至会失效。而具有局部相似度量特性的相关熵对脉冲信号的影响并不敏感,能够很好地适应脉冲噪声条件。将受干扰信号的相关熵函数代替自相关函数,得到基于相关熵的功率谱估计方法。通过仿真进行对比验证,结果表明在相同信噪比条件下基于相关熵的功率谱估计方法在α稳定分布噪声环境中更加稳健,特别在大脉冲条件下(α<1.6)能对有用信号进行更加有效的估计,且估计误差的均值和方差值仍保持很低。

     

    Abstract: Conventional power spectrum density (PSD) estimation method based on correlation function is obviously degraded in the impulsive noise environment, even loses efficacy under big impulsive noise. As a new localized similarity measure, correntropy is not sensitive to the impulsive noise and adapts this environment. Correntropy spectrum density (CSD) estimation method is achieved through correntropy function replacing autocorrelation function of signal. With the same SNR the CSD method is robust to the PSD method through simulation. Specially, the CSD method is also effective under big impulsive noise (α<1.6), and the mean and variance of estimation error remain low level.

     

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