Introduction to the System Function and System Poles and Zeros
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Question 1 of 6
1. Question
If is a complex number and we apply an input to a linear time invariant system, the output is where is the system function.
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Question 2 of 6
2. Question
The system function for a system described by a linear constant coefficient difference equation is a ratio of polynomials in powers of .
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Question 3 of 6
3. Question
The poles of a system are the roots of the numerator polynomial in the system function.
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Question 4 of 6
4. Question
The zeros of a system are the roots of the denominator polynomial in the system function.
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Question 5 of 6
5. Question
A pole near the unit circle pulls the frequency response magnitude down at the frequency corresponding to the angle of the pole.
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Question 6 of 6
6. Question
The magnitude of the frequency response a frequency proportional to the product of the distances from that frequency to the zeros of the system divided by the product of the distances from that frequency to the poles of the system.
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