Q3. For each of the following D-T systems, determine whether or not it is linear, time-invariant, causal and memoryless. 4. y[n] = u[n].x[n] 5. y[n] = |x[n]| 6. y[n] = sin(x[n]) 7. y[n] = 0 (0.5)" x[i], n ≥ 0

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Pls do #5,6,7. NOT #4. Thanks, I''l give positive feedback. 

Q3. For each of the following D-T systems, determine whether or not it is linear, time-invariant, causal
and memoryless.
4. y[n] = u[n].x[n]
5. y[n] = |x[n]|
6. y[n] = sin(x[n])
y[n] = Σo (0.5)" x[i], n ≥ 0
Transcribed Image Text:Q3. For each of the following D-T systems, determine whether or not it is linear, time-invariant, causal and memoryless. 4. y[n] = u[n].x[n] 5. y[n] = |x[n]| 6. y[n] = sin(x[n]) y[n] = Σo (0.5)" x[i], n ≥ 0
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Pls explain how it's a causal system. Thanks

n
7. y[n] = Σ(0.5)" x[i], n ≥0.
i=0
y[-2] =0,
y[0]=x[0],
2
y[2] = Σ(0.5)²x[i], n ≥0.
i=0
The output depends on either present and/or past values of the input, it is a causal system.
Transcribed Image Text:n 7. y[n] = Σ(0.5)" x[i], n ≥0. i=0 y[-2] =0, y[0]=x[0], 2 y[2] = Σ(0.5)²x[i], n ≥0. i=0 The output depends on either present and/or past values of the input, it is a causal system.
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