机构地区: 中山大学数学与计算科学学院
出 处: 《中山大学学报(自然科学版)》 2008年第2期14-17,共4页
摘 要: 结合紧支撑插值正交二重多小波的构造理论和两尺度矩阵符号的分解理论,依据平衡多小波理论,证明了一个紧支撑插值正交二重多尺度函数的平衡性定理,即:紧支撑插值正交二重多尺度函数的平衡阶数等于它的逼近阶数。 Through the theory of constructing compactly supported interpolatory orthonormal two muhiwavelets and factorizing the two scale matrix symbol, and the balancing theory of muhiwavelets, a balancing theorem of compactly supported interpolatory orthonormal two muhiscaling functions was proved, i. e. , the balancing order of compactly supported interpolatory orthonormal two muhiscaling functions is equal to its approximation order.