DocumentCode
1134902
Title
The Redundant Discrete Wavelet Transform and Additive Noise
Author
Fowler, James E.
Author_Institution
Dept. of Electr. & Comput. Eng., MS, USA
Volume
12
Issue
9
fYear
2005
Firstpage
629
Lastpage
632
Abstract
The behavior under additive noise of the redundant discrete wavelet transform (RDWT), which is a frame expansion that is essentially an undecimated discrete wavelet transform, is studied. Known prior results in the form of inequalities bound distortion energy in the original signal domain from additive noise in frame-expansion coefficients. In this letter, a precise relationship between RDWT-domain and original-signal-domain distortion for additive white noise in the RDWT domain is derived.
Keywords
discrete wavelet transforms; signal denoising; white noise; RDWT; additive white noise; inequalities bound distortion energy; redundant discrete wavelet transform; signal domain; undecimated discrete wavelet transform; Additive noise; Additive white noise; Cost function; Discrete wavelet transforms; Distortion; Hilbert space; Image reconstruction; Noise robustness; Wavelet transforms; White noise; Additive noise; frame expansion; redundant wavelet transform;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2005.853048
Filename
1495429
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