摘要
立足于小波的构造 ,比较深入地探讨了尺度函数和小波函数的两尺度符号与小波构造的紧密关系。从两尺度符号入手 ,分析了它与L2 (R)空间的直接和分解、对偶小波的结构、紧支撑小波的结构之间的内在联系。最后总结出了具有线性相位 (或广义线性相位 )的紧支撑双正交小波的构造方法 。
Basing on the construction of wavelet, discuss the close relation between the scaling function and wavelet function's two scale symbol and wavelet construction. The analyse begin with the two scale symbol, then the immanent relation between two scale symbol and the direct sum decomposition of L 2(R) space; the structure of dual wavelet; the structure of compactly supported wavelet. Late present the method that how to construct the compactly supported bi orthogonality wavelet with linear phase or generalizing linear phase, and take an example.
出处
《继电器》
CSCD
北大核心
2003年第5期9-13,共5页
Relay
