Technical Report CS-2008-02

Title: Signal denoising by constraining the residual to be statistically noise-similar
Authors: Lorina Dascal, Michael Zibulevsky and Ron Kimmel
Abstract: We propose to solve the signal/image denoising problem by minimizing the total variation of the signal and forcing the residual between the estimated and the measured signal to be statistically noise-similar; we thus project the residual on a set of directions in signal space and require these projections to be $4 \sigma $ limited and to have appropriate empirical nonlinear moments. Experimental results on denoising 1-D signals demonstrate the efficiency of the method.
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