Inverse Z-Transform
Partial fractions, power series, residue method.
Inverse Z-Transform Methods
Test your ability to apply partial fractions, long division, and contour integration to compute inverse Z-transforms.
Question 1 of 3
Q1.X(z) = z / ((z - 1)(z - 0.5)) with ROC |z| > 1. Using partial fractions, what is x[n]?
Related Articles
Inverse Z-Transform
Partial fractions, long division, contour integration.
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Z-Transform Definition
ROC, properties, standard pairs.
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Z-Transform Definition
X(z) = sum x[n]z^(-n), relation to Laplace via z=e^(sT).
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Z-Transform Properties
Linearity, time shift, convolution, initial/final value.
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Stability from Z-Transform
All poles inside unit circle for BIBO stability.
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