Name
Abstract | ||
|---|---|---|
Coupling the periodic time-invariance of the wavelet transform with the view of thresholding as a projection yields a simple, re- cursive, wavelet-based technique for denoising signals. Estimating a signal from a noise-corrupted observation is a fundamental prob- lem of signal processing which has been addressed via many tech- niques. Previously, Coifman and Donoho introduced cycle spin- ning, a technique estimating the true signal as the linear average of individual estimates derived from wavelet-thresholded translated versions of the noisy signal. Here, it is demonstrated that such an average can be dramatically improved upon. The proposed algo- rithm recursively "cycle spins" by repeatedly translating and de- noising the input via basic wavelet denoising and then translating back; at each iteration, the output of the previous iteration is used as input. Exploiting the convergence properties of projections, the proposed algorithm can be regarded as a sequence of denoising projections that converge to the projection of the original noisy signal to a small subspace containing the true signal. It is proven that the algorithm is guaranteed to globally converge, and simula- tions on piecewise polynomial signals show marked improvement over both basic wavelet thresholding and standard cycle spinning. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1109/ICIP.2002.1040090 | ICIP |
Keywords | Field | DocType |
convergence of numerical methods,iterative methods,piecewise polynomial techniques,recursive estimation,signal denoising,wavelet transforms,convergence properties,denoising projections,piecewise polynomial signals,recursive cycle spinning,signal denoising,signal estimation,signal processing,wavelet thresholding,wavelet transform | Lifting scheme,Pattern recognition,Computer science,Second-generation wavelet transform,Discrete wavelet transform,Artificial intelligence,Cascade algorithm,Stationary wavelet transform,Wavelet packet decomposition,Wavelet,Wavelet transform | Conference |
Volume | Citations | PageRank |
2 | 6 | 1.23 |
References | Authors | |
10 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alyson K. Fletcher | 1 | 552 | 41.10 |
| Vivek K. Goyal | 2 | 2031 | 171.16 |
| Kannan Ramchandran | 3 | 9401 | 1029.57 |