Discrete wavelet transform of finite signals: detailed study of the algorithm (Q2874055)
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scientific article; zbMATH DE number 6251182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete wavelet transform of finite signals: detailed study of the algorithm |
scientific article; zbMATH DE number 6251182 |
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28 January 2014
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wavelet transform
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computation of coefficients
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numerical examples
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finite signal
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algorithm
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wavelet filter
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Discrete wavelet transform of finite signals: detailed study of the algorithm (English)
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An elegant approach on the discrete time wavelet transform for finite signals is proposed. Different limitations on existing algorithms are resolved, such as: 1) the numbers of wavelet coefficients are required to compute the signal at different levels of the decomposition; 2) the number of samples are entail for a one single wavelet coefficient at the different depth of the decomposition, and 3) the number of coefficients at a given depth of the ecomposition are affected by the choice of the boundary treatment and so on. Further, a new method for wavelet filters padding is addressed. Moreover, theorems and examples are presented to support the proposed algorithms.
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