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Q#1
Signals
GATE EE 2024
MCQ
+2 marks
-0.66 marks
Consider the discrete-time systems 
and 
defined as follows:
Which one of the following statements is true?
and 
are BIBO stable.
and are not BIBO stable.
is BIBO stable but is not BIBO stable.
is not BIBO stable but is BIBO stable.
Explanation:
For impulse response of this system we have to consider the input as Impulse Signal.
Since the impulse response is not absolutely summable the system is Unstable.
Assume x[n] is bounded that is 
For 
The above signal is bounded for all values of n and hence for a bounded input we are getting bounded output so the system is BIBO Stable.
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