QuestionThe input voltage $\mathrm{X}_{(t)}$ ), and output voltage $\mathrm{Y}_{(t)}$ of an electrical system are sampled simultaneously at regular intervals with the following results. $$\begin{array}{r} n=0,1,2, \quad 3, \quad 4,5,6,7,8,9, \ldots \\ X(n T)=15,10,6,2, \quad 1,0,0,0,0,0, \ldots \\ Y(n T)=15,15,7.5,-2.75,-2.5, \cdots, \cdots,-,-\ldots \end{array}$$
Calculate the missing values of the output voltage $\mathrm{Y}(\mathrm{nT})$ above. Mint: Assume that $\mathrm{X}(\mathrm{t})=0$ for $\mathrm{t}<0$, and that only nonzero imputse response samples are $\mathrm{h}(\mathrm{n})$, for $0 \leq \mathrm{n} \leq 4$.