Noise reduction using an undecimated discrete wavelet transform
Noise reduction using an undecimated discrete wavelet transform
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DOI：
10.1109/97.475823
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发表时间：
1996-01-01
影响因子：
3.9
通讯作者：
Wells, RO
中科院分区：
文献类型：
--
作者：
Lang, M;Guo, H;Wells, RO
本文提出了一种新的非线性降噪方法，它采用离散小波变换，与Donoho和Johnstone的方法相似，我们在小波变换域采用阈值处理，但根据Coifman的建议，我们采用非抽样、平移不变、非正交的小波变换代替通常的正交小波变换，这种新的方法可以解释为重复应用原始的Donoho和Johnstone方法用于不同的移位，新算法的主要特点是一个显着改善的降噪相比，原来的小波基的方法，这适用于一个大类的信号，无论是在视觉上和在l（2）的意义上，并在理论上以及实验结果。
A new nonlinear noise reduction method is presented that uses the discrete wavelet transform, Similar to Donoho and Johnstone, we employ thresholding in the wavelet transform domain but, following a suggestion by Coifman, we use an undecimated, shift-invariant, nonorthogonal wavelet transform instead of the usual orthogonal one, This new approach can be interpreted as a repeated application of the original Donoho and Johnstone method for different shifts, The main feature of the new algorithm is a significantly improved noise reduction compared to the original wavelet based approach, This holds for a large class of signals, both visually and in the l(2) sense, and is shown theoretically as well as by experimental results.