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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 
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
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