Denoising using higher-order statistics

Samuel P. Kozaitis, Sung-Hee Kim · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2003

We used a higher-order correlation-based method for signal denoising. In our approach, we determined which wavelet coefficients contained mostly noise, or signal, based on higher-order statistics. Because the higher that second-order moments of the Gaussian probability function are zero, the third-order correlation coefficient will not have a statistical contribution from Gaussian noise. We obtained results for both 1-D signals and images. In all cases, our approach showed improved results when compared to a more popular denoising method.

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