Title :
The Redundant Discrete Wavelet Transform and Additive Noise
Author :
Fowler, James E.
Author_Institution :
Dept. of Electr. & Comput. Eng., MS, USA
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.853048
