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ECE · Q13

Signal Processing

Engineering and GATE · ECE · question 13

Q13

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 ( n ) = \ 1, & n = 0 0, & otherwise . The output at n = 4 is

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
\delta \left( n \right) = \left\{ {\matrix{ {1,} & {n = 0} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.
The output at n = 4 is
A.
-6
B.
Zero
Answer
C.
2
D.
-4

Answer: Option B

Solution

Answer: Option B
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