Topic: Signals and Systems
The impulse response of a linear time invariant system is $h(n)=\{1,\underline{2},1,-1\}$. The response for the input signal $x(n)=\{1,2,3,1\}$ is
- A. {1, 8, 4, 8, 3, -1, 2}
- B. {1, 4, 8, 3, 8, -2, -2}
- C. {1, 4, 8, 8, 3, -2, -1}
- D. {1, 8, 3, 8, 8, 4, -1}
Answer: C. {1, 4, 8, 8, 3, -2, -1}
Explanation: Using convolution sum method (matrix/tabular multiplication), $x(n)*h(n)=\{1,4,8,8,3,-2,-1\}$.