Question

This problem involves an investigation of the effects of roundoff on the location of the zeros and poles of the system transfer function and on the frequency response when the system is implemented as a cascade of second-order sections. Give a short summary of your observations on the impact of rounding on the system transfer function and any benefits from using second order sections to implement the filter.

   This problem involves an investigation of the effects of roundoff on the location of
the zeros and poles of the system transfer function and on the frequency response
when the system is implemented as a cascade of second-order sections.
Give a short summary of your observations on the impact of rounding on the system transfer function and any benefits from using second order sections to implement the filter.
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Digital Signal Processing. Principles, Algorithms and System Design
Digital Signal Processing. Principles, Algorithms and System Design
Winser Alexander and… 1st Edition
Chapter 6, Problem 6 ↓

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When rounding is applied to the coefficients of the transfer function, it can lead to a slight change in the location of the zeros and poles. This change can affect the stability and frequency response of the system. Rounding can introduce small errors in the  Show more…

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This problem involves an investigation of the effects of roundoff on the location of the zeros and poles of the system transfer function and on the frequency response when the system is implemented as a cascade of second-order sections. Give a short summary of your observations on the impact of rounding on the system transfer function and any benefits from using second order sections to implement the filter.
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