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Robust signal recovery using the prolate spherical wave functions and maximum correntropy criterion

机译：使用扁球形波函数和最大熵准则进行稳健的信号恢复

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摘要

Signal recovery is one of the most important problem in signal processing. This paper proposes a novel signal recovery method based on prolate spherical wave functions (PSWFs). PSWFs are a kind of special functions, which have been proved having good performance in signal recovery. However, the existing PSWFs based recovery methods used the mean square error (MSE) criterion, which depends on the Gaussianity assumption of the noise distributions. For the non-Gaussian noises, such as impulsive noise or outliers, the MSE criterion is sensitive, which may lead to large reconstruction error. Unlike the existing PSWFs based recovery methods, our proposed PSWFs based recovery method employs the maximum correntropy criterion (MCC), which is independent of the noise distribution. The proposed method can reduce the impact of the large and non-Gaussian noises. The experimental results on synthetic signals with various types of noises show that the proposed MCC based signal recovery method has better robust property against various noises compared to other existing methods.
机译：信号恢复是信号处理中最重要的问题之一。本文提出了一种基于扁球面波函数（PSWF）的信号恢复新方法。 PSWF是一种特殊功能，已被证明具有良好的信号恢复性能。但是，现有的基于PSWF的恢复方法使用均方误差（MSE）准则，该准则取决于噪声分布的高斯假设。对于非高斯噪声，例如脉冲噪声或离群值，MSE准则很敏感，可能会导致较大的重构误差。与现有的基于PSWF的恢复方法不同，我们提出的基于PSWF的恢复方法采用了最大熵准则（MCC），该准则与噪声分布无关。所提出的方法可以减少大的和非高斯噪声的影响。对具有各种噪声的合成信号的实验结果表明，与其他现有方法相比，该基于MCC的信号恢复方法具有更好的鲁棒性，可抵抗各种噪声。

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