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 len...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.展开更多
文摘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.
