| 两通道完全重构全相位FIR滤波器组的设计 |
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| 引用本文： | 黄翔东,王兆华. 两通道完全重构全相位FIR滤波器组的设计[J]. 天津大学学报(自然科学与工程技术版), 2006, 39(12): 1504-1508 |
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| 作者姓名： | 黄翔东 王兆华 |
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| 作者单位： | 天津大学电子信息工程学院,天津300072 |
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| 摘 要： | 提出了两通道完全重构全相位FIR滤波器组的设计算法，理论证明了无窗和双窗情况下全相位滤波的3个重要性质．并针对不同的滤波器长度N和频率向量的设置（传统对称或偶对称），设计出了4种全相位半带滤波器．再对半带滤波器进行谱分解，构造出了各分析和综合滤波器．理论和仿真实验表明，全相位PR滤波器组具有较高的重构精度，滤波器长度N为8时的重构误差比CDF9／7双正交小波滤波器组低3个数量级．
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| 关 键 词： | 两通道滤波器组 全相位 完全重构 半带滤波器 谱分解 |
| 文章编号： | 0493-2137（2006）12-1504-05 |
| 收稿时间： | 2005-08-31 |
| 修稿时间： | 2005-08-312005-11-01 |
Design of Two-Channel Perfect Reconstruction All-Phase FIR Filter Bank |
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| HUANG Xiang-dong,WANG Zhao-hua. Design of Two-Channel Perfect Reconstruction All-Phase FIR Filter Bank[J]. Journal of Tianjin University(Science and Technology), 2006, 39(12): 1504-1508 |
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| Authors: | HUANG Xiang-dong WANG Zhao-hua |
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| Affiliation: | School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China |
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| Abstract: | A novel design algorithm of two-channel perfect reconstruction(PR) all-phase FIR filter bank was proposed.Three important properties of all-phase filtering under the condition of no window and dual windows were proved.Moreover,corresponding to different filter length N and frequency vector setting modes(traditional symmetry or even symmetry),4 types of all-phase half-band filters were designed.By implementing spectrum factorization on the half-band filters,all the analytic and synthetic filters were constructed.Theoretical analysis and simulation experiments show that all-phase PR filter bank is of high reconstruction accuracy,and the reconstruction error of all-phase PR filter bank with N=8 is 3 quantity level lower than that of CDF9/7 biorthogonal wavelet filter bank. |
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| Keywords: | two-channel filter bank all-phase perfect reconstruction half-band filter spectrum factorization |
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