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Page 1: PowerPoint-presentation · A(z) - 1.27z-1 + 0.81z-2 0.81 Finding the roots to the denominator polynomial 1.27Z+o.81 Finding the roots to the numerator polynomial

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Ex: Find the System function H(z) from a given difference equation

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Page 6: PowerPoint-presentation · A(z) - 1.27z-1 + 0.81z-2 0.81 Finding the roots to the denominator polynomial 1.27Z+o.81 Finding the roots to the numerator polynomial

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Poles:

Zeros:

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=1

( / )( / )

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To summarize, we have the inverse z-transform given by,

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= sin + ( )

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Examples of relation between pole/zero-plots and impulse response

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Examples of relation between pole/zero-plots and impulse response

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Appendix: (for those of you that have background knowledge in Laplace-transforms)

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