区间上的双正交零边值小波

Biorthogonal Wavelets With Zero Boundary on the Interval

摘要: 由于许多方程具有零边值, 要求小波在有限区域上也具有零边值, 因此给出了一种零边值小波的构造方法.此方法以直线上的双正交小波为内部小波, 构造了合适的边界小波, 从而形成了区间0, 1上具有零边值的小波.

Abstract: Since most of the equations have zero boundary, and the corresponding wavelets on the interval also need zero boundary values.According to this observation, a new construction of wavelets is established.By choosing biorthogonal wavelets on the interval as the inner wavelets and proper functions as the boundary wavelets, the wavelets on the interval with zero boundary value are obtained.