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] is X ( z ) = ‌ 4 z ‌ ( 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