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An algebraic construction of orthonormal M-band wavelets with perfect reconstruction - MaRDI portal

An algebraic construction of orthonormal M-band wavelets with perfect reconstruction (Q2369216)

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An algebraic construction of orthonormal M-band wavelets with perfect reconstruction
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    An algebraic construction of orthonormal M-band wavelets with perfect reconstruction (English)
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    28 April 2006
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    M-band wavelets are an alternative for the standard 2-band orthogonal wavelets that have attracted considerable attention due to their flexibility. Because of the increased number of degrees of freedom the design of M-band wavelets is very challenging. This paper presents an algebraic approach to construct M-band orthonormal wavelet bases with perfect reconstruction by solving constraint equations. Practical computation procedures are given together with some examples.
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    Wavelet transforms
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    M-band wavelets
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    Perfect reconstruction
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    Algebraic approach
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    Numerical examples
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    Orthogonal wavelets
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