On denoising and best signal representation
نویسندگان
چکیده
منابع مشابه
On denoising and best signal representation
We propose a best basis algorithm for signal enhancement in white Gaussian noise. The best basis search is performed in families of orthonormal bases constructed with wavelet packets or local cosine bases. We base our search for the “best” basis on a criterion of minimal reconstruction error of the underlying signal. This approach is intuitively appealing because the enhanced or estimated signa...
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The problem of signal denoising using an orthogonal basis is considered. The framework of previous solutions converts the denoising problem into one of finding a threshold for estimates of basis coefficients. In this paper a new solution to the denoising problem is proposed. The method is based on calculation of the coefficient estimation error in each subspace of the basis. For each subspace, ...
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Approaches to wavelet-based denoising (or signal enhancement) have generally relied on the assumption of normally distributed perturbations. To relax this assumption, which is often violated in practice, we derive a robust wavelet thresholding technique based on the minimax description length (MMDL) principle. We first determine the least favorable distribution in the "-contaminated normal fami...
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So far, considerable research efforts have been invested in the are of using statistical methods for image processing purposes yielding to a significant amount of models that aim to improve as much as possible the still existing and currently used processing techniques, some of them being based on using wavelet representation of images. Among them the simplest and the most attractive one use th...
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Noise in ECG signals will affect the result of post-processing if left untreated. Since ECG is highly subjective, the linear denoising method with a specific threshold working well on one subject could fail on another. Therefore, in this Letter, sparse-based method, which represents every segment of signal using different linear combinations of atoms from a dictionary, is used to denoise ECG si...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1999
ISSN: 0018-9448
DOI: 10.1109/18.796365