The Traits of Orthogonal Quarternary Small Function Wraps according to Quantity Matrix Dilation

Yan Rong Wei

doi:10.4028/www.scientific.net/AMR.424-425.1244

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 424-425The Traits of Orthogonal Quarternary Small...

The Traits of Orthogonal Quarternary Small Function Wraps according to Quantity Matrix Dilation

Abstract:

The advantages of wavelet packets and their promising featu-res in various application have attracted a lot of interest and effort in recent years. In this paper, we propose the notion of quarternary small function wraps according to a quantity matrix dilation, which are gener-alization of univariate wavelet wraps. A nice procedure for designing the vector-valued quarternary small-wave wraps is provided. Their cha-racteristics are researched by virtue of time-frequency analysis method, wavelet transform and curvelet coefficients. The orthogonality formulas concerning these small-wave wraps are established. Furthermore, it is shown how to draw new orthogonal bases of space from the small-wave wraps. A method for designing a class of affine quarternary dual frames in four-dimensional space is presented. The results we obtain gains much improvement

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Periodical:

Advanced Materials Research (Volumes 424-425)

Pages:

1244-1248

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.424-425.1244

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Online since:

January 2012

Authors:

Yan Rong Wei

Keywords:

Curvelet Transform Wavelet Networks, Orthogonality Relations, Time-Frequency Analysis Approach, Vector-Valued Quarternary Small Function Wraps

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