Some Characterizations about 4-band Symmetric Cardinal Orthogonal Scaling Function

Guochang Wu, Yanpei Zhao
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Abstract

The 4-band symmetric cardinal orthogonal scaling function with compact support is of interest in several applications. In this paper, we provide some characterizations of the 4-band symmetric cardinal orthogonal scaling function. We generalize some results of the symmetric cardinal orthogonal scaling function from the 2-band case to the 4-band case. Also, we find some new results.
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关于四波段对称基数正交标度函数的一些性质
具有紧支撑的四波段对称基数正交标度函数在许多应用中都引起了人们的兴趣。本文给出了四波段对称基数正交标度函数的一些表征。我们将对称基数正交标度函数的一些结果从2波段推广到4波段。同时,我们发现了一些新的结果。
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