滤波长度为4的双正交多尺度分析的构造

该文研究了滤波长度为4的双正交多尺度分析的一般构造.依据Lawton条件,通过解决一个线性代数问题,求出了其实滤波系数所在的范围,给出了一些构造的例子,并通过计算和分析这些小波用于图像压缩的熵和信噪比数据,研究了它们用于图像压缩的性能.

滤波长度为5的双正交多尺度分析的构造

In this paper, a general construction of biorthonormal multiresolution analyses with length 5 is studied. Both the existence of unique symmetric biorthonormal MRAs and the inexistence of antisymmetric ones are also proved. The regularity of the scale functions is analyzed and some examples are given at last.