过采样精确重构余弦调制滤波器组的设计  

Design of oversampled cosine-modulated filter banks satisfying perfect reconstruction

作　　者：曹雪虹[1] 毕厚杰[1] 

机构地区：[1]南京邮电学院,南京210003

出　　处：《通信学报》2001年第8期66-71,共6页Journal on Communications

摘　　要：本文首先推导出过采样滤波器组精确重构的条件，由于此时所需的约束条件数比临界采样时少，因而可以设计出频域衰减特性更好的滤波器组。然后提出了精确重构约束条件下原型低通滤波器的一种新的设计方法，采用矢量的二次型约束优化算法。该算法优化方便，收敛速度快，与其它方法相比，滤波器的阻带衰减大。The constraints of oversampled cosine-modulated filter banks with perfect reconstruction(PR) are firstly educed in this paper. Because its constraints are less than that in the critically sampled case, we can lead to PRLP prototypes with stopband attenuation being much higher than that in the critically sampled PR case.Then we present a method for designing prototype filter based on an quadratic-constrained minimization problem.The solution of the minimization problem converges very quickly since the cost function as well as the constraints are quadratic functions with respect to the unknown parameters. Compared with other design methods, the proposed technique yields PR filter banks with much higher stopband attenuation.

关 键 词：过采样 余弦调制滤波器组 精确重构 

分 类 号：TN713[电子电信—电路与系统]