Title :
Wavelet deconvolution in a periodic setting using cross-validation
Author :
Qu, Leming ; Routh, Partha S. ; Ko, Kyungduk
Author_Institution :
Dept. of Math., Boise State Univ., ID, USA
fDate :
4/1/2006 12:00:00 AM
Abstract :
The wavelet deconvolution method WaveD using band-limited wavelets offers both theoretical and computational advantages over traditional compactly supported wavelets. The translation-invariant WaveD with a fast algorithm improves further. The twofold cross-validation method for choosing the threshold parameter and the finest resolution level in WaveD is introduced. The algorithm´s performance is compared with the fixed constant tuning and the default tuning in WaveD.
Keywords :
bandlimited signals; deconvolution; signal resolution; wavelet transforms; band-limited wavelet; cross-validation method; fast algorithm; finest resolution level; periodic setting; translation-invariant WaveD; wavelet deconvolution method; Deconvolution; Discrete wavelet transforms; Fast Fourier transforms; Fourier transforms; Gaussian noise; Image restoration; Mathematics; Signal resolution; Wavelet coefficients; White noise; Cross-validation (CV); wavelet deconvolution;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.863657
