The biorthogonal multi-scaling vector with higher approximation order was constructed using TST.
利用双尺度相似变换构造了高逼近阶的双正交尺度向量。
In particular, the highest approximation order is higher than other obtained summation operators.
特别地，新算子的最高逼近阶明显高于目前已有的求和算子。
The multi-scaling vector possess symmetry and approximation order 1 at least by selecting a suitable parameter.
选取适当的参数，使其具有对称性并且至少有逼近阶1。
MST has relation to approximation order. One can increase approximation of M-band multiscaling functions with help of MST.
通过研究MST的性质及与M带多尺度函数的逼近阶的关系，利用MST可以对M带多尺度函数的逼近阶进行提升。
Then choosing suitable transform matrix, and applying TST to it, the satisfactory approximation order of the multi-scaling vector was achieved.
选择适当的变换矩阵，对尺度向量进行双尺度相似变换，可以使其具有满意的逼近阶。
Then choosing suitable transform matrix, and applying TST to it, the satisfactory approximation order of the multi-scaling vector was achieved.
选择适当的变换矩阵，对尺度向量进行双尺度相似变换，可以使其具有满意的逼近阶。
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