Q3. You are given a number of systems below having input x[n] and output y[n]. Determine if each of these systems is (1) stable, (2) causal, (3) linear (4) time- invariant, and (5) memoryless. Justify your answer in case any of the properties do not hold. Provide the proof in case the properties hold. y[n] = x[-n] y[n] = x[3n] y[n] = e*[n] y[n] = x[n – 2] y[n] = ax[n] + b, a, b eR i. ii. %3D iii iv. V.

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Q3. You are given a number of systems below having input x[n] and output
y[n]. Determine if each of these systems is (1) stable, (2) causal, (3) linear (4) time-
invariant, and (5) memoryless. Justify your answer in case any of the properties do
not hold. Provide the proof in case the properties hold.
y[n] =
x[-n]
y[n] = x[3n]
y[n] = e*[n]
y[n] = x[n – 2]
у [n] %3D ах[n] + b, а, b ER
i.
ii.
iii
iv.
V.
Transcribed Image Text:Q3. You are given a number of systems below having input x[n] and output y[n]. Determine if each of these systems is (1) stable, (2) causal, (3) linear (4) time- invariant, and (5) memoryless. Justify your answer in case any of the properties do not hold. Provide the proof in case the properties hold. y[n] = x[-n] y[n] = x[3n] y[n] = e*[n] y[n] = x[n – 2] у [n] %3D ах[n] + b, а, b ER i. ii. iii iv. V.
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