2012
DOI: 10.2306/scienceasia1513-1874.2012.38.207
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A noise reduction approach based on Stein′s unbiased risk estimate

Abstract: This paper proposes a new wavelet-based shrinkage function for 1D signal noise reduction. This shrinkage function adopts the intrascale correlations between wavelet coefficients and exploits Stein's unbiased risk estimator to achieve the optimal parameter. Unlike the methods based upon Bayes estimators, the proposed method does not use any prior hypotheses on wavelet coefficients. Experiments performed on simulated signals clearly indicate that our method outperforms conventional noise reduction methods in the… Show more

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Cited by 14 publications
(5 citation statements)
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“…Although the ZLE does not offer the on-line processing property of ACF, the ZLE can process the data in real-time substantially because of its low computational complexity O ( N ) where N means the length of the input signal. The computational complexity of wavelet de-noising is O ( N log N ) [ 33 ] and that of others (CFSA, ACF, and ZLE) is O ( N ).…”
Section: Discussionmentioning
confidence: 99%
“…Although the ZLE does not offer the on-line processing property of ACF, the ZLE can process the data in real-time substantially because of its low computational complexity O ( N ) where N means the length of the input signal. The computational complexity of wavelet de-noising is O ( N log N ) [ 33 ] and that of others (CFSA, ACF, and ZLE) is O ( N ).…”
Section: Discussionmentioning
confidence: 99%
“…Alternatively, we may use Stein's unbiased risk estimator, which is widely used as an efficient parameter selection method [17][18][19] , to derive the adaptive parameter. In addition, we could reduce the computational burden by optimizing the whole process further, particularly the available speed-up methods for computing nonlocal weights.…”
Section: Conclusion and Discussionmentioning
confidence: 99%
“…This methodology adopts that the image is commonly signified meagerly over some illustration source similar wavelets also its resulting methods and also the noise feasts consistently throughout the image thus the obligatory image info focusses only at some examples. Thus, noise is distinguished effectively through varied shrinkage techniques, like Sureshrink [20], [21], Multi Shrink [22], Bayes Shrink [23], Bi Shrink [24] and Preshrink [25].Though these ways succeed an efficient image denoising, the fixed wavelet convert fails in distributing through line also point individualities toward arrange for an adaptive illustration on behalf of the noisy image comprising the line in addition to point originalities.. The other form of the wavelet, SWT overcome this problem and having interpolation of coefficients in filter and by DWT technique the shift invariance is achieved by removing some samples.…”
Section: B Transform Domain Approachesmentioning
confidence: 99%