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Q#1
Z Transform
GATE EC 2025
MSQ
+1 mark
-0 marks
Let 
be a discrete-time signal whose 
-transform is 
.
Which of the following statements is/are TRUE?
The discrete-time Fourier transform (DTFT) of always exists
The region of convergence (RoC) of contains neither poles nor zeros
The discrete-time Fourier transform (DTFT) exists if the region of convergence (RoC) contains the unit circle
If 
, where 
is the unit impulse and 
is a scalar, then the region of convergence 
is the entire -plane
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