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A method of determining the optimum number of levels of decomposition insoft-thresholding wavelet denoising using Stationary Wavelet Transform ispresented here. The method calculates the risk at each level of decompositionusing Steins Unbiased Risk Estimate, analogous to calculating the sum squareerror of the denoising process. The SURE risk is found to reach minimum at thesame level of decomposition as the sum square error. The advantage of thismethod is that the clean signal need not be known a priori. The method can beused with either a priori known noise variance or an estimate of the noisevariance. This allows the determination of the optimum level of decompositionfor wavelet denoising of an unknown signal so long as the noise variance can beestimated.

Using Steins Unbiased Risk Estimate to Optimize Level of Decomposition in Stationary Wavelet Transform Denoising