Band stop filter pole zero plot

1. How do you identify a filter from pole zero plot?
2. What does pole zero plot tell us?
3. What are poles and zeros in filters?
4. How can you tell stability from pole zero plot?

How do you identify a filter from pole zero plot?

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. low pass filters will be pole dominant whereas HPFs will be zero dominant and all pass filters will have a symmetrical arrangement of poles and zeroes!

What does pole zero plot tell us?

A pole-zero plot shows the location in the complex plane of the poles and zeros of the transfer function of a dynamic system, such as a controller, compensator, sensor, equalizer, filter, or communications channel.

What are poles and zeros in filters?

Poles and zeros are properties of the transfer function, and in general, solutions that make the function tend to zero are called, well, zeros, and the roots that make the function tend towards its maximum function are called poles.

How can you tell stability from pole zero plot?

If all the poles lie in the left half of the s-plane, then the system is stable. If the system has two or more poles in the same location on the imaginary axis, then the system is unstable. If the system has one or more non-repeated poles on the imaginary axis, then the system is marginally stable.