Howtosignalprocessing
- What is the relation between poles and zeros of all-pass filter?
- How do you find the poles and zeros of a filter?
- How do I determine from just looking at a pole zero plot whether a filter is high pass low pass or band pass?
What is the relation between poles and zeros of all-pass filter?
In summary, a single-pole, single-zero all-pass filter passes all frequency components with constant gain and a phase shift which may be adjusted by the placement of a pole. Taking Z0 near the unit circle causes most of the phase shift to be concentrated near the frequency where the pole is located.
How do you find the poles and zeros of a filter?
T(s)=Kss+ωO
In this system, we have a zero at s = 0 and a pole at s = –ωO. Poles and zeros are defining characteristics of a filter. If you know the locations of the poles and zeros, you have a lot of information about how the system will respond to signals with different input frequencies.
How do I determine from just looking at a pole zero plot whether a filter is high pass low pass or band pass?
Well if the pole is more closer to the origin, i.e, if it's pole dominant then the system is LPF. Similarly, if it's zero dominant it's a HPF.
