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Translation-Invariant Wavelet De-Noising Method with Improved Thresholding

机译:具有改进阈值的平移不变小波去噪方法

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Wavelet thresholding de-noising method based on discrete wavelet transform (DWT) proposed by Donoho et al. is a standard wavelet de-noising method. At first, this paper proposes an improved thresholding de-noising method based on Donoho's method. The advantage of the improved de-noising method is that it may not only remain the edge of original signal efficiently, but also suppress impulsive noise to some extent. Furthermore, the traditional wavelet thresholding de-noising method causes Pseudo-Gibbs phenomena in the neighborhood of the singularities due to DWT. In order to suppress Pseudo-Gibbs phenomena, a new de-noising method combining above improved thresholding with the translation-invariant (TI) wavelet transform is proposed in this paper. The experimental results indicate that the proposed methods in the paper are better than traditional wavelet thresholding de-noising methods.
机译:Donoho等人提出的基于离散小波变换(DWT)的小波阈值降噪方法。是一种标准的小波降噪方法。首先,本文提出了一种基于Donoho方法的改进的阈值去噪方法。改进的去噪方法的优点在于它不仅可以有效地保持原始信号的边缘,而且可以在一定程度上抑制脉冲噪声。此外,由于DWT,传统的小波阈值去噪方法在奇点附近引起伪Gibbs现象。为了抑制伪Gibbs现象,提出了一种新的去噪方法,将上述改进的阈值与平移不变(TI)小波变换相结合。实验结果表明,本文提出的方法优于传统的小波阈值去噪方法。

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