| 关于数字滤波器与线性相位特征的讨论 |
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| 引用本文： | 汪芙平,于歆杰.关于数字滤波器与线性相位特征的讨论[J].电气电子教学学报,2011,33(3):38-39,44. |
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| 作者姓名： | 汪芙平 于歆杰 |
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| 作者单位： | 清华大学电机工程与应用电子技术系; |
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| 摘 要： | 针对FIR数字滤波器具有线性相位的充要条件，本文给出了必要性命题的严格证明，即证明线性相位FIR系统的单位脉冲响应必然为奇对称或偶对称，以弥补相关教材在这一问题论述的不足。论文由该证明过程进一步指出，有限阶次的因果IIR数字滤波器不可能具有线性相位。
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| 关 键 词： | 线性相位 FIR滤波器 IIR滤波器 |
Discussions on the Relationship Between Digital Filters and Linear-phase Frequency Response |
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| WANG Fu-ping,YU Xin-jie.Discussions on the Relationship Between Digital Filters and Linear-phase Frequency Response[J].Journal of Electrical & Electronic Engineering Education,2011,33(3):38-39,44. |
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| Authors: | WANG Fu-ping YU Xin-jie |
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| Affiliation: | WANG Fu-ping,YU Xin-jie(Department of Electrical Engineering,Tsinghua University,Beijing 100084,China) |
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| Abstract: | To make up for the lack of relevant content,a strict proof is given for the necessary condition that an even symmetry or odd symmetry on the FIR digital filter coefficients guarantees a linear-phase frequency response,and from the proof a conclusion is drawn that finite-order causal stable IIR filter can not have linear-phase characteristic. |
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| Keywords: | linear-phase frequency response FIR digital filter IIR digital filter |
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