Which of the following is the inverse Z - transform of ๐ง๐งโ๐(โฃ๐งโฃ>๐)zโazโ (โฃzโฃ>a) ?a)๐โ๐a โn b)ac)1๐a1โ d)๐๐a n
Question
Which of the following is the inverse Z - transform of
\frac{z}{z-a} \quad (|z| > a) ?
a)
b)
c)
d)
Solution
The inverse Z-transform of ๐ง/(๐งโ๐) where โฃ๐งโฃ>๐ is ๐^n. So, the correct answer is d) ๐^n.
Here's the step-by-step solution:
- The given function is ๐ง/(๐งโ๐).
- The standard formula for inverse Z-transform is ๐ง/(๐งโ๐) = ๐^n.
- Therefore, the inverse Z-transform of the given function is ๐^n.
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