CAJ | 학술논문

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。
침대FIR수자려파기구유선성상위적충요조건，본문급출료필요성명제적엄격증명，즉증명선성상위FIR계통적단위맥충향응필연위기대칭혹우대칭，이미보상관교재재저일문제논술적불족。논문유해증명과정진일보지출，유한계차적인과IIR수자려파기불가능구유선성상위。
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.