摘要
函数空间中正交小波的对称性和紧支性不能兼容,而离散空间中正交小波的性质能否兼容仍然是一个未知的问题．本文证明了l2(Z)空间中正交小波的插值性和对称性均与有限长度不能兼容;l2(ZN)空间中正交小波的插值性和对称性均与支集长度小于N/2不能兼容．结果表明,研究离散双正交小波是必要的．
The symmetric property and compact support are incompatible for orthogonal wavelets in function space, whether the properties of discrete orthogonal wavelets can be compatible is still unknown. This paper proves that both the interpolating property and the symmetric property are incompatible with finite length for discrete orthogonal wavelets in l^2（Z） ; both the interpolating property and the symmetric property are incompatible with the finite length less than N/2 for discrete orthogonal wavelets in l^2 （ZN）. The results show the necessity to study discrete biorthogonal wavelets.
出处
《北京工业大学学报》
CAS
CSCD
北大核心
2006年第4期375-378,共4页
Journal of Beijing University of Technology
基金
北京市教委基金资助项目(KM200410005013).
关键词
小波
插值性
对称性
wavelet
interpolation
symmetry
