Identifying the magnitude and impulse response from pole zero plot quickly

1. What does pole-zero plot tell us?
2. How do you find the magnitude and phase of a frequency response?

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 find the magnitude and phase of a frequency response?

To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately. To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator.