The 𝑍-transform of a discrete signal 𝑥[𝑛] is
X(z)=‌
4z
‌(z−‌
1
5
)(z−‌
2
3
)(z−3)
with ROC = R.
Which one of the following statements is true?

Question

The 𝑍-transform of a discrete signal 𝑥[𝑛] isX(z) = \;{4z}/{\;(z−\;{1}/{5})  (z−\;{2}/{3}) (z−3)} with ROC = R.Which one of the following statements is true?

Examsnet · Accepted Answer

Correct Answer is : Discrete-time Fourier transform of x[n] converges if R is ‌23<|.z|.<3

GATE Electrical Engineering (EE) 2023 Solved Paper