【摘要】 在多项域里构造正交小波滤波器组等价于构造仿酉矩阵,而仿酉矩阵的构造涉及非线性方程组的求解.通过对Cayley变换的研究,给出构造仿酉矩阵的条件,利用这些条件给出元素为二元一次多项式的二阶仿酉矩阵的通解,并给出了算例.更多还原

【Abstract】 In the polyphase domain,construction of orthogonal filter banks was equivalent to constructing paraunitary matrices,which led to solving sets of nonlinear equations.By the cayley transform of research,we gave the condition of constructing paraunitary matrices at first,then using these conditions,we gave the general solution to second order paraunitary matrices(each element was a bivariate polynomial of order one),and some examples were also given.更多还原