Wavelet denoising based on local regularity information
Wavelet denoising based on local regularity information
复制标题
基于局部规律性信息的小波去噪
DOI：
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发表时间：
2008
期刊：
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通讯作者：
J. L. Véhel
中科院分区：
文献类型：
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作者：
Antoine Echelard;J. L. Véhel
我们提出了一种去噪方法，很好地适合于处理极不规则的信号，如（多）分形的。这种信号在实践中经常遇到，例如，在生物医学应用中。其基本思想是利用大尺度信息从观测到的噪声数据中估计出原始数据的规律性，然后将这些信息外推到小尺度上。我们目前的理论结果描述的方法的精确性能。数值实验表明，这种去噪方案确实表现出良好的不规则信号。
We present a denoising method that is well fitted to the processing of extremely irregular signals such as (multi)fractal ones. Such signals are often encountered in practice, e.g., in biomedical applications. The basic idea is to estimate the regularity of the original data from the observed noisy ones using the large scale information, and then to extrapolate this information to the small scales. We present theoretical results describing the precise properties of the method. Numerical experiments show that this denoising scheme indeed performs well on irregular signals.