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Algorithm and Application of An Extended Adaptive Wavelet Transform

Shao-Jing Dong

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Abstract

A new extended adaptive wavelet transform method based on the Claypoole adaptive wavelet transform was proposed.The degrees of Sweldens interpolating polynomial from the odd to the positive integer were extended by the method to extend the choice of the vanishing moments of the wavelet.The extended adaptive wavelet and the adaptive wavelet were used for filtering the signal.The simulated results show that the extended adaptive wavelet transform can get ideal application effect and supply more wavelets.

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What this paper is about

A new extended adaptive wavelet transform method based on the Claypoole adaptive wavelet transform was proposed.The degrees of Sweldens interpolating polynomial from the odd to the positive integer were extended by the method to extend the choice of the vanishing moments of the wavelet.The extended adaptive wavelet and the adaptive wavelet were used for filtering the signal.The simulated results show that the extended adaptive wavelet transform can get ideal application effect and supply more wavelets.

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Available abstract

A new extended adaptive wavelet transform method based on the Claypoole adaptive wavelet transform was proposed.The degrees of Sweldens interpolating polynomial from the odd to the positive integer were extended by the method to extend the choice of the vanishing moments of the wavelet.The extended adaptive wavelet and the adaptive wavelet were used for filtering the signal.The simulated results show that the extended adaptive wavelet transform can get ideal application effect and supply more wavelets.

Key concepts: Wavelet, Stationary wavelet transform, Second-generation wavelet transform, Wavelet packet decomposition, Lifting scheme, Wavelet transform, Harmonic wavelet transform, Discrete wavelet transform

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