Asymptotic behavior of the minimum mean squared error threshold for noisy wavelet coefficients of piecewise smooth signals

IEEE Transactions on Signal Processing

Volumn 49, Issue 6, 2001, Pages 1113-1119

  Jansen, Maarten ^a   Bultheel, Adhemar ^a  

^a Belgian Found for Scientific Res   (Belgium)

Author keywords

Asymptotic; Mean square error; Noise reduction; Risk; Thresholding; Wavelet

Indexed keywords

ASYMPTOTIC STABILITY; ESTIMATION; GAUSSIAN NOISE (ELECTRONIC); MATHEMATICAL MODELS; WAVELET TRANSFORMS;

MEAN SQUARE ERROR; PIECEWISE SMOOTH SIGNALS; SOFT THRESHOLDING; WAVELET COEFFICIENTS;

SIGNAL PROCESSING;

EID: 0035369051     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.923292     Document Type: Article

References (21)

1. Wavelet threshold estimators for data with correlated noise
2. Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise
3. Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
4. Formulae for mean integrated squared error of nonlinear wavelet-based density estimators
5. On the choice of smoothing parameter, threshold and truncation in nonparametric regression by nonlinear wavelet methods
6. Understanding WaveShrink: Variance and bias estimation
7. Exact risk analysis of wavelet regression
8. Wavelet thresholding for unequally spaced data
9. CART and best-ortho-basis: A connection
10. Optimal tree approximation with wavelets
11. Atomic decomposition by basis pursuit
12. Adapting to unknown smoothness via wavelet shrinkage
13. Generalized cross validation for wavelet thresholding
14. Wavelet shrinkage using cross validation
15. Pointwise smoothness, two-microlocalization and wavelet coefficients
16. Wavelet thresholding and applications
17. Ideal spatial adaptation via wavelet shrinkage
18. De-noising by soft-thresholding
19. Neo-classical minimax theorems, thresholding, and adaptive function estimation
20. Optimal tree approximation with wavelets