Title :
The discrete multiple wavelet transform and thresholding methods
Author :
Downie, T.R. ; Silverman, B.W.
Author_Institution :
CMIS, CSIRO, North Ryde, NT, Australia
fDate :
9/1/1998 12:00:00 AM
Abstract :
We propose thresholding for multiwavelets considering the coefficient vectors as a whole rather than thresholding individual elements. A multivariate universal threshold is obtained using the χ 2 distribution. Simulations indicate that using the GHM multiwavelet with appropriate preprocessing, our method outperforms univariate thresholding of both GHM and Daubechies wavelet decompositions
Keywords :
filtering theory; signal processing; wavelet transforms; χ2 distribution; Daubechies wavelet decomposition; GHM multiwavelet; discrete multiple wavelet transform; multivariate universal threshold; multiwavelets; thresholding methods; Convergence; Discrete wavelet transforms; Filters; H infinity control; Signal processing; Spline; Vectors; Wavelet coefficients; Wavelet transforms; White noise;
Journal_Title :
Signal Processing, IEEE Transactions on
