Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise

Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise

Denoising algorithms based on wavelet thresholding replace small wavelet coefficients by zero and keep or shrink the coefficients with absolute value above the threshold. The optimal threshold minimizes the error of the result as compared to the unknown, exact data. To estimate this optimal threshold, we use generalized cross validation. This procedure does not require an estimation for the noi...

Multiple Wavelet Threshold Estimation by Generalized Cross Validation for Data with Correlated Noise

De-noising algorithms based on wavelet thresholding replace small wavelet coeecients by zero and keep or shrink the coeecients with absolute value above the threshold. The optimal threshold minimizes the error of the result as compared to the unknown, exact data. To estimate this optimal threshold, we use Generalized Cross Validation. This procedure does not require an estimation for the noise ...

Wavelet Threshold Estimators for Data with Correlated Noise

Wavelet threshold estimators for data with stationary correlated noise are constructed by the following prescription. First, form the discrete wavelet transform of the data points. Next, apply a level-dependent soft threshold to the individual coeecients, allowing the thresholds to depend on the level in the wavelet transform. Finally, transform back to obtain the estimate in the original domai...

Wavelet Threshold Estimator of Semiparametric Regression Function with Correlated Errors

Wavelet analysis is one of the useful techniques in mathematics which is used much in statistics science recently. In this paper, in addition to introduce the wavelet transformation, the wavelet threshold estimation of semiparametric regression model with correlated errors with having Gaussian distribution is determined and the convergence ratio of estimator computed. To evaluate the wavelet th...

Generalized Correlated Cross-Validation (GCCV)