### Table 2: Denoising: MSE for various signals and transforms.

1998

"... In PAGE 4: ... For a more information see [1]. Table2 provides the mean-squared error (MSE) performance of the four transforms and five signals discussed in Section 4.1 above.... In PAGE 4: ... In this experiment, noise of standard deviation 0:1 maxn js[n]j was added to each of the test signals. The MSEs in Table2 show again that both adaptive transforms perform nearly as well (or better) than the better of the D8 or the Haar in each test case. 5.... ..."

Cited by 20

### Table 2: Denoising: MSE for various signals and transforms.

1998

"... In PAGE 4: ... For a more information see [1]. Table2 provides the mean-squared error (MSE) performance of the four transforms and five signals discussed in Section 4.1 above.... In PAGE 4: ... In this experiment, noise of standard deviation a12a8a24a175a18 a100 a154a149a182a4a183 a107 a172 a181 a3 a5a56a7 a172 was added to each of the test signals. The MSEs in Table2 show again that both adaptive transforms perform nearly as well (or better) than the better of the D8 or the Haar in each test case. 5.... ..."

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### Table 6: The resolution level (number of scaling coefficients in the signal decomposition) giving the best denoised signal, when considering the average ISE curve of 100 denoised estimates, SNR=5.

2005

"... In PAGE 15: ... Corresponding pat- terns can also be seen in how the algorithms perform on the functions with discontinuities versus the smoother signals. Table6 shows the number of scaling coefficients which give the best denoised signal for the different jitter values and signals for SNR=5. Again, with this signal-to-noise ratio, we draw the conclusion that to produce a good signal estimate, a low stopping time is needed.... ..."

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### Table 5: The resolution level (number of scaling coefficients in the signal decomposition) giving the best denoised signal, when considering the average ISE curve of 100 denoised estimates, SNR=3.

2005

"... In PAGE 15: ... (2004a), where a full decomposition down to two scaling coefficients was performed: AP methods are better for the smoother signals, and AN1 outperforms the other lifting algorithms for Blocks and Bumps. Table5 shows the number of scaling coefficients in the signal decompositions giving the best denoising performance (i.e.... ..."

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### TABLE III MEAN SIGNAL TO NOISE RATES FOR DENOISINGS WITH DART DEFINED WITH DIFFERENT DISCRETE ANALYTICAL OBJECT THICKNESS (IN DB).

### Table 4.1. Denoising of piecewise linear signals with no more than three discontinuities.

2002

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