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给出了由已知的双正交矩阵滤波带BMF_S构造出许多新的双正交矩阵多滤波带的方法。且有如果已知的BMF_S,满足完全重构条件,则构造出米的BMF_S也满足完全重构条件,另外,我们也可以从低阶BMF_S构造出更高阶BMF_S。从数学的观点来看,这种变换可能会改变多尺度函数的支撑区间,正则性和逼近阶,然而将原始的和构造出来的BMF_S应用到信号处理中,却可以得到相同的输出信号。
A new method of constructing a number of new biorthogonal orthogonal matrices by filtering the known biorthogonal matrix filter bands BMF_S is given. And if the known BMF_S satisfies the complete reconstruction condition, the BMF_S constructing the rice also satisfies the complete reconstruction condition. Alternatively, we can construct the higher order BMF_S from the lower order BMF_S. From a mathematical point of view, this transformation may change the support interval, the regularity and the approximation order of multiscale functions, however, the same output signal can be obtained by applying the original and constructed BMF_S to signal processing.