The discrete multiple wavelet transform and thresholding methods

Authors:
T.R. Downie;B.W. Silverman
Affiliations:
CMIS, CSIRO, North Ryde, NT;-
Venue:
IEEE Transactions on Signal Processing
Year:
1998

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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