1.

Determine the response of LTI system \(h\left[ n \right] = \left\{ {1,\;\begin{array}{*{20}{c}} 2\\ \uparrow \end{array},\;1,\; - 1} \right\}\) if input signal is \(x\left( n \right) = \left\{ {\begin{array}{*{20}{c}} 1\\ \uparrow \end{array},\;2,\;3,\;1} \right\}\)

A. \(y\left[ n \right] = \left\{ {\begin{array}{*{20}{c}} 1\\ \uparrow \end{array},\;4,\;8,\;8,\;3,\; - 2,\; - 1} \right\}\)
B. \(y\left[ n \right] = \left\{ {1,\;\begin{array}{*{20}{c}} 4\\ \uparrow \end{array},\;8,\;8,\;3,\; - 2,\; - 1} \right\}\)
C. \(y\left[ n \right] = \left\{ {1,\;4,\;\begin{array}{*{20}{c}} 8\\ \uparrow \end{array},\;8,\;8,\;3,\; - 2,\; - 1} \right\}\)
D. \(y\left[ n \right] = \left\{ {1,\;4,\;8,\;\begin{array}{*{20}{c}} 8\\ \uparrow \end{array},\;3,\; - 2,\; - 1} \right\}\)
Answer» C. \(y\left[ n \right] = \left\{ {1,\;4,\;\begin{array}{*{20}{c}} 8\\ \uparrow \end{array},\;8,\;8,\;3,\; - 2,\; - 1} \right\}\)


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