2006Journal of Harbin University of CommerceRequires access

Study on continuous wavelet transforms

Ming Zhao

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Abstract

In this paper,the definition of multi-admissible wavelet is given,and the general form of multivariate wavelet transform is presented.The common multivariate wavelet transform is a special case.In the view of the numerical analysis,from a series of multivariate wavelet transforms,one proper wavelet transform is selected.By discretizing the transform of wavelet and the inverse transform of wavelet,an algorithm can be constructed.Simulation examples demonstrated this method is effective.

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What this paper is about

In this paper,the definition of multi-admissible wavelet is given,and the general form of multivariate wavelet transform is presented.The common multivariate wavelet transform is a special case.In the view of the numerical analysis,from a series of multivariate wavelet transforms,one proper wavelet transform is selected.By discretizing the transform of wavelet and the inverse transform of wavelet,an algorithm can be constructed.Simulation examples demonstrated this method is effective.

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Available abstract

In this paper,the definition of multi-admissible wavelet is given,and the general form of multivariate wavelet transform is presented.The common multivariate wavelet transform is a special case.In the view of the numerical analysis,from a series of multivariate wavelet transforms,one proper wavelet transform is selected.By discretizing the transform of wavelet and the inverse transform of wavelet,an algorithm can be constructed.Simulation examples demonstrated this method is effective.

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

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