Fractional bispectrum transform: definition and properties. Issue 8 (1st October 2017)

• Record Type: Journal Article
• Authors: Abolbashari, Mehrdad; Kim, Sun Myong; Babaie, Gelareh; Babaie, Jonathan; Farahi, Faramarz
• Is Part Of: IET signal processing. Volume 11:Issue 8(2017)
• Page Start: 901
• Page End: 908
• Publication Date: 2017-10-01
• Subjects: Gaussian processes -- probability -- mathematical programming -- signal processing; fractional bispectrum transform -- discrete frequency components -- frequencies equals -- FBS transform -- Gaussian probability density function -- PDF -- Gaussian noise -- zero‐mean signal; Signal processing -- Periodicals; 621.3822
• DOI: 10.1049/iet-spr.2017.0118
• Languages: English
• ISSNs: 1751-9675

Abstract

Abstract : 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.