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Complex Mathematical Equations Analysis

The document describes a causal system where the output z is a function of the input x. It involves poles, zeros, the region of convergence (ROC), and the Laplace transform. The key points are: 1) The system is causal and stable with the ROC being z > 1/4. 2) The poles are located at z = 1/2, 1/4 and the zeros are at z = -1, excluding the point z = 0. 3) The Laplace transform of the output is a rational function of the input involving the poles and zeros.

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Junaid M Faisal
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65 views10 pages

Complex Mathematical Equations Analysis

The document describes a causal system where the output z is a function of the input x. It involves poles, zeros, the region of convergence (ROC), and the Laplace transform. The key points are: 1) The system is causal and stable with the ROC being z > 1/4. 2) The poles are located at z = 1/2, 1/4 and the zeros are at z = -1, excluding the point z = 0. 3) The Laplace transform of the output is a rational function of the input involving the poles and zeros.

Uploaded by

Junaid M Faisal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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