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

作　　者：石光明[1] 焦李成[1] 

机构地区：[1]西安电子科技大学电子工程学院雷达信号处理国家重点实验室,西安710071

出　　处：《电子与信息学报》2002年第7期910-915,共6页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(批准号:69772029);国家"863"基金

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。Euclidean algorithm can be used to design Perfect Reconstruction (PR) filter hanks. 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 algo-rithm 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 offeotive.

关 键 词：分解理论 低时延 两通道滤波器组 Euclid多项式 多速率滤波器 数字信号处理 

分 类 号：TN713[电子电信—电路与系统] TN911.72