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gasper (version 1.1.3)

SURE_MSEthresh: Stein's Unbiased Risk Estimate.

Description

Adaptive Threshold Selection Using Principle of SURE (The irreductible variance term is not included, it does not change the position of the minimum).

Usage

SURE_MSEthresh(
  wcn,
  wcf,
  tresh,
  diagWWt,
  b,
  sigma,
  hatsigma,
  policy,
  keepwc = TRUE
)

Value

res a dataframe contening MSE, SURE, hatSURE and their respective minima

Arguments

wcn

Noisy wavelet coefficents.

wcf

True wavelet coefficients.

tresh

Threshold values.

diagWWt

Weights.

b

Thresholding type (b=1: soft, b=2: JS).

sigma

Sd of the noise.

hatsigma

Estimator of the sd (if any).

policy

Dependent or uniform.

keepwc

Boolean allowing to export the coefficients of the frame after thresholding (TRUE by default).

Details

Note: - the calculation of the MSE is also included for comparison purpose.

References

de Loynes, B., Navarro, F., Olivier, B. (2021). Data-driven thresholding in denoising with Spectral Graph Wavelet Transform. Journal of Computational and Applied Mathematics, Vol. 389.

See Also

SUREthresh