Thresholding for higher-order statistical denoising

Samuel P. Kozaitis, Tim Young · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2008

Hard thresholding seems to work well for denoising signals using higher-order statistics. We statistically examined the best values for hard thresholding and related this to the fraction of wavelet coefficients set to zero to obtain the minimum MSE. In addition, we found that the minimum MSE obtained was less sensitive to the threshold when implemented based on a third-order parameter rather than the noise power. Alternatively, we found that this approach to thresholding could be implemented by setting a fixed fraction of wavelet coefficients to zero.

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