延安大学：《数字信号处理》课程PPT教学课件（DigitalSignal Processing，DSP）Chapter 7 FIR Digital Filter Design

7.1 Linear-phase FIR transfer function o Type 1 FIR Transfer Function The impulse response of a Type1 FIR transfer function is of odd length that is the degree n is even and satisfies the symmetry condition Its amplitude response Hg (a)is given by N M-1 Hg(o)=h +∑2h(n)oso(m-

7.1 Linear-phase FIR transfer function  Type 1 FIR Transfer Function The impulse response of a Type1 FIR transfer function is of odd length, that is, the degree N is even and satisfies the symmetry condition. Its amplitude response Hg(ω) is given by ( ) ( ) ( ) 1 0 1 2 cos 2 M g n N H h h n n    − =   − = + −         

7.1 Linear-phase FIR transfer function o Type 2 FIR Transfer Function The impulse response of a Type2 FiR filter is of even length that is, the degree n is odd and satisfies the symmetry condition Its amplitude response Hg (a) is given by H2(o)=∑2h(n) coSo(n-T

7.1 Linear-phase FIR transfer function  Type 2 FIR Transfer Function The impulse response of a Type2 FIR filter is of even length, that is, the degree N is odd and satisfies the symmetry condition. Its amplitude response Hg(ω) is given by ( ) ( ) ( ) 1 1 2 0 2 cos N g n H h n n      − −     = = −     

7.1 Linear-phase FIR transfer function o type 3 FIR Transfer Function The impulse response of a Type3 FiR filter is of even length that is, the degree n is odd and satisfies the antisymmetry condition its amplitude response Hg(o) is given by 1(o)=∑2h(m)sio(n-)]

7.1 Linear-phase FIR transfer function  Type 3 FIR Transfer Function The impulse response of a Type3 FIR filter is of even length, that is, the degree N is odd and satisfies the antisymmetry condition. Its amplitude response Hg(ω) is given by ( ) ( ) ( ) 1 0 2 sin M g n H h n n    − = = −     

7.1 Linear-phase FIR transfer function o Type 4 FIR Transfer Function The impulse response of a Type1 FiR filter is of even length that is, the degree n is odd and satisfies the antisymmetry condition its amplitude response Hg(o) is given by H()=∑2h(n)silo(m-o)

7.1 Linear-phase FIR transfer function  Type 4 FIR Transfer Function The impulse response of a Type1 FIR filter is of even length, that is, the degree N is odd and satisfies the antisymmetry condition. Its amplitude response Hg(ω) is given by ( ) ( ) ( ) 0 2 sin M g n H h n n    = = −     

表⑦.1.1线性相位FIR滤波器的幅度特性与相位特性一览表 偶对称单位脉冲响应 h(n)=h(N-1-n) 相位响应 N为奇数 1)2 H1(ao)=∑a(n)cosn N h(n) e() 2 况 a(n) lo( 2 N为偶数 h(n) H(0)=∑b(n)cosn 情 I-TAL 况 N b(n) 2