A New Biorthogonal Wavelet with Very Simple Coefficients
一个新的带非常简单系数的双正交小波

Constructing wavelets via the lifting scheme with indeterminate coefficient has been proposed recently.The constructed lifting schemes generally have four steps.Differently we use the five-step lifting scheme to construct wavelet.Finally,we obtain a wavelet with very simple coefficients especially in its lifting scheme.Its order of vanishing moments is the same with that of D9/7 wavelet,but the coefficients of the corresponding filters are simple fractions.In its lifting scheme,the denominators of all coefficients are the power of 2 and the numerators are 1.Every step of the lifting algorithm only needs a shift operation with 0 to 3 bits.This wavelet approaches or exxceeds D9/7 wavelet in some mathematical properties,which will be verified in the numerical experiments of image compressions.