Experimental study of bispectrum-based encoding in radio communication system

Naumenko, V. V.; Solodovnik, V.F.; Totsky, A. V.; Zelensky, Alexander A.; Astola, Jaakko

doi:10.1109/icatt.2015.7136853

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2017

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“…For a stationary stochastic signal with zero mean, the moment and the cumulant are equal. The bispectrum has found applications in various fields including astronomy and cosmology [5][6][7][8][9], signal and image processing [10][11][12][13], interferometry applications [14], and mechanical [15][16][17][18][19][20], electrical [21][22][23][24][25], medical, and biomedical engineerings [19,[26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Fractional bispectrum transform: definition and properties

Abolbashari¹,

Kim

Babaie

et al. 2017

IET signal process.

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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.

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