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Frequency Response Magnitude and Poles and Zeros

February 2, 2019 by 3200 Creative

Frequency Response Magnitude and Poles and Zeros

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  1. 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.

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  2. 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.

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  3. 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.

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Course Lessons

  • 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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  • Random Signal Characterization

  • Basis Representations of Signals

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  • Introduction to Signal Estimation and Detection Theory

  • MMSE Filtering and Least-Squares Problems

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