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.
In this paper, a novel technique to enhance the dynamic range of images acquired in a laser interferometer is presented. The irradiance of the interferometric signal received by the camera, in a Michelson interferometer, is controlled at pixel level using a spatial light modulator. It is shown that this technique increases the signal to noise ratio, hence improving the vertical resolution of interferometer systems.
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