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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.

Introduction of Solved Examples of Z-Transform in English is available as part of our Digital Signal Processing for Electrical Engineering (EE) & Solved Examples of Z-Transform in Hindi for Digital Signal Processing course. Download more important topics related with notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Electrical Engineering (EE): Solved Examples of Z-Transform Notes | Study Digital Signal Processing - Electrical Engineering (EE)
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Example 1

Find the response of the system  Solved Examples of Z-Transform Notes | Study Digital Signal Processing - Electrical Engineering (EE)  when all the initial conditions are zero.

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

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

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

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

Example 2

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

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

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

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

This system has a pole at  Solved Examples of Z-Transform Notes | Study Digital Signal Processing - Electrical Engineering (EE)

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

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

Example 3

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

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

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

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

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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