How to determine type of Filter from pole zero plot?

Click For Summary
The transfer function is identified as G(s) = (s² + 2ζωn + ωn²)/((s + p1)(s + p2), indicating a relationship between the zeros and poles. The analysis suggests that both ωn is less than p1 and p2, leading to the conclusion that the system behaves like a high-pass filter due to the magnitude amplification at higher frequencies. The proximity of the imaginary part of the zeros and the real parts of the poles complicates the determination of their frequency responses. Despite some uncertainty about the exact frequency behavior, the conclusion about the filter type is supported. Overall, the discussion emphasizes the importance of analyzing pole-zero plots and Bode plots in filter classification.
rudra
Messages
14
Reaction score
0
Imp.jpg

According to me Transfer function will be G(s)= (s2+2ζωnn2)/((s+p1)(s+p2))

I assume from the given plot that ωn < p1 and ωn < p2

Then the bode plot will be as per me like following :
Imp.jpg
From the Bode plot we can see for higher freq magnitude is amplified . So it will be High pass Filter.

That's my analysis. If I am wrong please correct me.
 
Physics news on Phys.org
The imaginary part of the zeros and the real part of the two poles are pretty close together in frequency, which makes it difficult to tell whether the zeros' 40 dB/decade rise occurs before or after the pole drops, but the second pole break definitely occurs at a higher frequency than either the other pole's or that of the zeros so I'd say your conclusion is as correct as anyone's.
 
Thank you rude man. I needed someone to support my answer.
 

Similar threads

Replies
2
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
831