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Minimum Phase and All Pass Systems

February 2, 2019 by 3200 Creative

Minimum Phase and All Pass Systems

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  1. Question 1 of 4
    1. Question

    Select all of the following statements that apply to a minimum phase system.

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  2. Question 2 of 4
    2. Question

    The frequency response magnitude for an all-pass system is exactly one for all frequencies.

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  3. Question 3 of 4
    3. Question

    Any system whose rational system function has no zeros on |z| = 1 can be expressed as the sum of a minimum phase and an all-pass system.

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  4. Question 4 of 4
    4. Question

    An inverse system exists that will correct the magnitude response of any system whose rational system function has no zeros on |z| = 1. (“correct” means that the cascade of the original and inverse systems has exactly unity magnitude response)

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  • Introduction to the [latex]z[/latex]-Transform

  • The Region of Convergence for the [latex]z[/latex]-Transform

  • Poles and Zeros of the [latex]z[/latex]-Transform

  • Properties of the Region of Convergence

  • Inversion of the [latex]z[/latex]-Transform via Power Series Expansion

  • Inversion of the [latex]z[/latex]-Transform: Partial Fraction Expansion

  • Properties of the [latex]z[/latex]-Transform

  • [latex]z[/latex]-Transform Analysis of LTI Systems

  • Stability and Causality of LTI Systems Described by Difference Equations

  • Inverse Systems for LTI Systems Described by Difference Equations

  • Minimum-Phase and All-Pass Systems

  • Frequency Response Magnitude and Poles and Zeros

  • Impulse Response and Poles and Zeros

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