摘要
It is very importent for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter(CQF). In this paper, a general method of deriving a length-L + 1 conjugate quadrature filter from a length-L conjugate quadrature filter and vice versa is obtained. As a special case, we study generally the construction of any length-L + 1 compactly supported symmetric-antisymmetric orthonormal multiwavelet system with multiplicity 2 from a length-L multiwavelet system and vice versa. Examples of conjugate quadrature filter are given.
It is very importent for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter(CQF). In this paper, a general method of deriving a length-L + 1 conjugate quadrature filter from a length-L conjugate quadrature filter and vice versa is obtained. As a special case, we study generally the construction of any length-L + 1 compactly supported symmetric-antisymmetric orthonormal multiwavelet system with multiplicity 2 from a length-L multiwavelet system and vice versa. Examples of conjugate quadrature filter are given.
出处
《计算数学》
CSCD
北大核心
2004年第2期151-160,共10页
Mathematica Numerica Sinica
关键词
正交共轭滤波器
构造
多分辨分析
紧支撑函数
Multiresolution analysis, Lowpass filter, Highpass filter, Conjugate quadrature filter, Compactly supported function, Orthonor- mal scaling function, Symmetric-antisymmetric orthonormal mul- tiwavelet system
