Pole zero plot, normalizing frequency response plot?

1. How do poles and zeros affect frequency response?
2. What does pole-zero plot tell us?
3. How do you determine stability from pole-zero plot?

How do poles and zeros affect frequency response?

A pole frequency corresponds to a corner frequency at which the slope of the magnitude curve decreases by 20 dB/decade, and a zero corresponds to a corner frequency at which the slope increases by 20 dB/decade.

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.

How do you determine 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.