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2009•Journal of Jiangxi Normal UniversityRequires access

Wavelets Bases from Optimal Biorthogonal Wavelet Transform Matrix

Zhenwei Wang

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Abstract

As new concept,optimal biorthogonal wavelet transform matrix is put forward by exploring the eigenanalysis of the discrete hyper-wavelet transforms theory.Experimental results have shown that it is the optimal wavelet in the same biorthogonal wavelet family,which is designed by optimal biorthogonal wavelet transform matrix.Therefore,the optimal 9-7 tap wavelet has better performance than Cohen and Daubechies's 9-7 tap biorthogonal wavelet for many images.

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What this paper is about

As new concept,optimal biorthogonal wavelet transform matrix is put forward by exploring the eigenanalysis of the discrete hyper-wavelet transforms theory.Experimental results have shown that it is the optimal wavelet in the same biorthogonal wavelet family,which is designed by optimal biorthogonal wavelet transform matrix.Therefore,the optimal 9-7 tap wavelet has better performance than Cohen and Daubechies's 9-7 tap biorthogonal wavelet for many images.

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Available abstract

As new concept,optimal biorthogonal wavelet transform matrix is put forward by exploring the eigenanalysis of the discrete hyper-wavelet transforms theory.Experimental results have shown that it is the optimal wavelet in the same biorthogonal wavelet family,which is designed by optimal biorthogonal wavelet transform matrix.Therefore,the optimal 9-7 tap wavelet has better performance than Cohen and Daubechies's 9-7 tap biorthogonal wavelet for many images.

Key concepts: Biorthogonal system, Biorthogonal wavelet, Wavelet, Discrete wavelet transform, Wavelet packet decomposition, Mathematics, Wavelet transform, Stationary wavelet transform

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