Solved Examples of Z-Transform

# Solved Examples of Z-Transform Notes | Study Digital Signal Processing - Electrical Engineering (EE)

## Document Description: Solved Examples of Z-Transform for Electrical Engineering (EE) 2022 is part of Digital Signal Processing preparation. The notes and questions for Solved Examples of Z-Transform have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Solved Examples of Z-Transform covers topics like and Solved Examples of Z-Transform Example, for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Solved Examples of Z-Transform.

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Example 1

Find the response of the system    when all the initial conditions are zero.

Solution − Taking Z-transform on both the sides of the above equation, we get

Taking the inverse Z-transform of the above equation, we get

Example 2

Find the system function H(z) and unit sample response h(n) of the system whose difference equation is described as under

where, y(n) and x(n) are the output and input of the system, respectively.

Solution − Taking the Z-transform of the above difference equation, we get

This system has a pole at

Hence, taking the inverse Z-transform of the above, we get

Example 3

Determine Y(z),n≥0 in the following case −

Solution − Applying the Z-transform to the above equation, we get

The document Solved Examples of Z-Transform Notes | Study Digital Signal Processing - Electrical Engineering (EE) is a part of the Electrical Engineering (EE) Course Digital Signal Processing.
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## Digital Signal Processing

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## Digital Signal Processing

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