Design a filter, G(s), with the following frequency response 1 For 1 rad s, the magnitude 20 log1() G(j) OdB 2 For 1 1000 rad s, the magnitude 201og10 G(j) OdB 3 For co 1000 rad s, the magnitude 20 logI0 G(j) OdB Try to maximize the peak magnitude as close to oo 40 rad s as possible ...

Design a filter, G(s), with the following frequency response: 1. For < 1 rad/s, the magnitude

Question:

Design a filter, G(s), with the following frequency response:
1. For ω < 1 rad/s, the magnitude 20 log1() |G(jω)|< OdB
2. For 1 < ω < 1000 rad/s, the magnitude 201og10 | G(jω) | ≥ OdB
3. For co > 1000 rad/s, the magnitude 20 logI0 |G(jω) | < OdB
Try to maximize the peak magnitude as close to oo - 40 rad/s as possible.