[例]设计一个满足下列指标BW型模拟低通滤波器0,=0.1元 rad/s, 0,=0.4元 rad/s, A,≤1dB, A≥10dB。解:(2)确定模拟低通滤波器的极点2k-k=1,2.....NSk =0.e2S=0,e4S, =0,e=0(3)确定模拟低通滤波器的系统函数H(s)0?0.44042N-kH(s)=I-? +20.s+05 +0.622 8s+0.44042k=Is-Sk
[例] 设计一个满足下列指标BW型模拟低通滤波器 wp=0.1π rad/s, ws=0.4π rad/s, Ap ≤1dB, As ≥10dB。 解:(2) 确定模拟低通滤波器的极点 1 2 1 jπ( ) 2 2 c e ; 1,2,., k N k s k N w − + = = ) 2 2 j 2 2 e ( c π 4 3 j s1 = ωc = ω − + ) 2 2 j 2 2 e ( c π 4 5 j s2 =wc =w − − (3) 确定模拟低通滤波器的系统函数H (s) 1 ( ) N k k k s H s = s s − = − 2 c 2 2 c c s s 2 w w w = + + 2 2 2 0.622 8 0.4404 0.4404 + + = s s
[例]设计一个满足下列指标BW型模拟低通滤波器0,=0.1元 rad/s, 0,=0.4元 rad/s, A,≤1dB, A≥10dB。Ap=0.15dBA,=1.00dB8A,=10.00dB2A=-18.28dB0.202030:inHFreoencyinH当の由通带边界点?决定时:当?由阻带边界点の决定时:A,满足指标;As存在裕量。A,存在裕量;As满足指标
[例] 设计一个满足下列指标BW型模拟低通滤波器 wp=0.1π rad/s, ws=0.4π rad/s, Ap ≤1dB, As ≥10dB。 Ap=1.00dB As=18.28dB Ap=0.15dB As=10.00dB 当wc由阻带边界点ws决定时: Ap满足指标;As存在裕量。 当wc由通带边界点wp决定时: Ap存在裕量;As满足指标