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Determine whether the following systems are stable or not y(n)=3x(n).
1 Answer
written 2.3 years ago by |
Solution:
Let x(n)=δ(n),y(n)=h(n)
h(n)=3δ(n)
Condition for stability,
∑∞k=−∞|h(k)|<∞
∞∑k=−∞|h(k)|=∞∑k=0|3δ(k)|=∞∑k=03δ(k)=3∵δ(k)=0 for k≠0 and δ(k)=1 for k=0∵∞∑k=−∞|h(k)|<∞ the given system is stable