摘要
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.
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.
基金
This work is supported by the project of new stars of Beijing
