Discussion :: Communication Systems
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A sequence x(n) with the z transform X(z) = z4 + z2 - 2z + 2 - 3z - 4 is applied as an input to a linear, time invariant system with the impulse response h(n) = 2δ(n - 3) where
The output at n = 4 is
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Answer : Option B
Explanation :
Y(Z) = X(Z) x H(Z)
= 2 x (Z4 + Z2 - 2Z + 2) x Z-3
Y(n) = 2[δ(n + 1) - δ(n - 1) - 2(n - 2) + 2δ(n - 3) - 3δ(n - 7)]
at n = 4, Y(4) = 0.
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