Image reconstruction using higher order statistics information
Jun Liu, Boon‐Hee Soong · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992
The higher order cumulants and their Fourier transforms, polyspectra, are used in order to achieve a number of objects which may not be possible to obtain using second order statistics. In this paper, we study different approaches to estimate the bispectrum and apply the result to the image reconstruction and communication signal identification. One of the key advantages of using cumulants in the signal processing are is that cumulants are blind to all kinds of Gaussian processes. Thus, when a cumulants method is used on non-Gaussian signals polluted by additive Gaussian noise, it will improve the signal/noise ratio.