How do I plot the square of the amplitude response?

1. How do you find the response of an amplitude?
2. How do you plot magnitude and phase?
3. How do you calculate frequency response?

How do you find the response of an amplitude?

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.

How do you plot magnitude and phase?

For a rough sketch, you can eyeball or measure the distance of the poles and zeros to a point on the unit circle, multiply/divide to get a magnitude, and sum/difference the angles from the poles and zeros to that point to get a phase. A protractor and ruler might be useful.

How do you calculate frequency response?

This can be solved for the frequency response, H(ω) = e ^jωn (b₁ + b₂ e ^-jω + b₃ e ^-2jω)/ e ^jωn (a₁ + a₂ e ^-jω + a₃ e ^-2jω). This form of the frequency response can be generalized to LTI difference equations with an arbitrary number of terms.