Some people try to construct an orthonormal wavelet such that the corresponding scaling function（t）has the cardinal property,i.e.（n）=δ<sub>n0</sub>,since such wavelets have many good applications.Unfo...Some people try to construct an orthonormal wavelet such that the corresponding scaling function（t）has the cardinal property,i.e.（n）=δ<sub>n0</sub>,since such wavelets have many good applications.Unfortunate]y it is impossible to do so,except for a trivial case.In this work,a family of non-orthogonal cardinal wavelets with compact support is constructed and their duals are investigated.展开更多
基金This work is supported by the project of new stars of Beijing
文摘Some people try to construct an orthonormal wavelet such that the corresponding scaling function（t）has the cardinal property,i.e.（n）=δ<sub>n0</sub>,since such wavelets have many good applications.Unfortunate]y it is impossible to do so,except for a trivial case.In this work,a family of non-orthogonal cardinal wavelets with compact support is constructed and their duals are investigated.
