基于α稳定分布模型的水声信号白化滤波方法

摘要

在简要介绍共变谱和稳定白噪声的基础上，从α谱的角度出发，推导出基于自共变系数的广义Yule-Walker方程，证明广义Yule-Walker方程算法的合理性。依据稳定分布的参数模型，通过广义Yule-Walker方程算法实现基于分数低阶统计量的水声信号预白化滤波。实验数据检验表明，基于分数低阶统计量的白化滤波方法可以很好地实现水声信号预设频带内的预白化。%Basedoncovariancespectrumandstablewhitenoise,deducedgeneralizedYule-Walker ( GYW) equation and demonstrate Yule-Walker arithmetic′s rationality from α-spectrum angle. The paper realized underwater acoustic signal whitening filtering based on Fractional Lower-order Statistics by dint of generalized Yule-Walker equation arithmetic from stable distribution parameter model. Experiment show that whitening filtering method based on Fractional Lower-order Statistics can well realize acoustic signal′s prewhitening on appointed spectrum.