摘要
提出了基于频率采样法的2种全相位数字滤波器实现结构及其设计方法,完善了全相位数字滤波器的理论,并证明这2种滤波器幅频响应在0～1之间,无负值,严格零相位.根据滤波器长度和滤波响应向量的不同,设计了2种无过渡点的全相位半带滤波器,谱分解时无需加抬高因子,精度高,可设计功率互补特性良好的二通道完全重构QMF组.实验证明,由此得到的二通道完全重建QMF组的功率互补对数幅频特性可达10^(-8)dB,而传统方法仅能达到10^(-3)dB,具有很高的重建精度.
Two kinds of models and design methods of all phase digital filter based on frequency sampling method were proposed, therefore the theory of all phase digital filter was integrated. It was proved that the amplitude frequency response of the all phase digital filters was between 0 and 1, no negative and zero phase. According to the difference of filter length and frequency response vector, two kinds of all phase half-band filter （APHF） with no transition point are designed, when implementing spectrum factorization on APHF, there is no need to raise up the magnitude. Based on this two channel perfect reconstruction QMF can be designed with higher reconstruction accuracy, whose power complementary is 10^-8 dB, while that of the traditional method is only 10^-3 dB.
出处
《天津大学学报》
EI
CAS
CSCD
北大核心
2006年第7期820-825,共6页
Journal of Tianjin University(Science and Technology)
基金
天津市重点自然科学基金.
关键词
全相位半带滤波器
二通道完全重建滤波器组
谱分解
重建误差
all phase half-band filter
two channel perfect reconstruction filter banks
spectral factorization
reconstruction error
