A sequence x (n) with the z-transform X (z) = Z^4 + Z^2 – 2z + 2 – 3Z^-4 is applied to an input to a linear time invariant system with the impulse response h (n) = 2δ (n-3). The output at n = 4 will be:(a) -6(b) Zero(c) 2(d) -4I have been asked this question in unit test.Origin of the question is The Z-Transform in section Digital Control Systems of Control Systems

A sequence x (n) with the z-transform X (z) = Z^4 + Z^2 – 2z + 2 –

1.	A sequence x (n) with the z-transform X (z) = Z^4 + Z^2 – 2z + 2 – 3Z^-4 is applied to an input to a linear time invariant system with the impulse response h (n) = 2δ (n-3). The output at n = 4 will be:(a) -6(b) Zero(c) 2(d) -4I have been asked this question in unit test.Origin of the question is The Z-Transform in section Digital Control Systems of Control Systems
Answer» Correct CHOICE is (B) Zero The best I can explain: H (z) = 2z^-3 Then TAKING the inverse Laplace transform of the equation of Y (z) at n=4 y(n) =0.

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