Frequency Response Magnitude and Poles and Zeros

February 2, 2019 by 3200 Creative

Frequency Response Magnitude and Poles and Zeros

Question 1 of 3

1. Question
The frequency response of a system at frequency $\omega$ is obtained by evaluating the system function at a point on the unit circle ( $|z| = 1$ ) and angle $\omega$ .
- True
- False
Correct

Incorrect
Question 2 of 3

2. Question
The frequency response magnitude depends on the distances from a point on $|z| = 1$ to the poles and zeros of the system.
- True
- False
Correct

Incorrect
Question 3 of 3

3. Question
Identify which of the following statements are true of the relationship between poles/zeros and the system magnitude response.
- Poles near the unit circle $|z| = 1$ pull the magnitude response down
- A zero at $z = e^{j\pi/2}$ results in magnitude response of zero at $\omega = \pi/2$
- Zeros near the unit circle $|z| = 1$ pull the magnitude response down
- Poles near the unit circle $|z| = 1$ push the magnitude response up
- Zeros are closest to the unit circle $|z| = 1$ in the passband of a filter
Correct

Incorrect