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Fractional bispectrum transform: definition and properties

机译:分数双谱变换:定义和性质

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摘要

A signal with discrete frequency components has a zero bispectrum if no addition or subtraction of any of the frequencies equals one of the frequency components. The authors introduce the fractional bispectrum (FBS) transform in which for signals with zero bispectrum the FBS could be non-zero. It is shown that FBS has the same property as the bispectrum for signals with a Gaussian probability density function (PDF). The FBS of a zero mean signal with a Gaussian PDF is zero. Therefore, it can be used to significantly reduce the Gaussian noise.
机译:如果没有任何一个频率的加法或减法等于一个频率分量,则具有离散频率分量的信号的双频谱为零。作者介绍了分数双谱(FBS)变换,其中对于双谱为零的信号,FBS可能为非零。对于具有高斯概率密度函数(PDF)的信号,FBS具有与双谱相同的特性。具有高斯PDF的零均值信号的FBS为零。因此,它可用于显着降低高斯噪声。

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