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Introduction to the System Function and System Poles and Zeros

February 2, 2019 by 3200 Creative

Introduction to the System Function and System Poles and Zeros

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  1. Question 1 of 6
    1. Question

    If z is a complex number and we apply an input z^n to a linear time invariant system, the output is H(z)z^n where H(z) is the system function.

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  2. 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 z^{-1}.

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  3. 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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  4. 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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  5. 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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  6. 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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