基于多项式分解理论的低时延完全重构两通道滤波器组的设计
Design of two-channel low-delay PR filter banks based on theory of polynomial factorization
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摘要: Euclid多项式分解算法可以用于滤波器组的设计,该文首先讨论了Euclid分解算法与低时延两通道完全重构的滤波器组设计理论,推导出可实现分解的条件,并从理论上加以证明,由于Euclid分解算法具有非唯一性,该文提出了一种新的算法以确定唯一的分解,并将这种算法用于具有低时延特性的两通道全重构滤波器组的设计,最后,通过给出的基于分解方法的设计例子,说明该方法是有效的。Abstract: Euclidean algorithm can be used to design Perfect Reconstruction (PR) filter banks. An algorithm of Euclidean polynomial factorization and the theory of two-channel filter banks with low delay are discussed in this paper. A major problem of Euclidean algorithm with the polynomial case is that the solution is not unique. To overcome this problem, a proposition about factorization method for solving this problem has been given and proven. A highly effective method based on the factorization for designing two-channel PR filter banks satisfying low-delay is presented. Final, some examples are given to illustrate that the method is effective.
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