0 0 votes Consider a discrete-time linear time-invariant (LTI) system $\boldsymbol{S}$, where $$ y[n]=\boldsymbol{S}\{x[n]\} $$ Let $$ \boldsymbol{S}\{\delta[n]\}=\left\{\begin{array}{cc} 1, & n \in\{0,1,2\} \\ 0, & \text { otherwise } \end{array}\right.$$ where $\delta[n]$ is the discrete-time unit impulse function. For an input signal $x[n]$, the output $y[n]$ is $x[n]+x[n-1]+x[n-2]$ $x[n-1]+x[n]+x[n+1]$ $x[n]+x[n+1]+x[n+2]$ $x[n+1]+x[n+2]+x[n+3]$ Signals and Systems gate2025-ee signals-and-systems linear-time-invariant-system impulse-response + – Shubham Sharma 2 330 views answer comment Share Follow 0 reply Please log in or register to add a comment.