Q$-2(20$ points$)$

a$)$ Let $h(n)$ be truncated exponential; $h(n)=\{\begin{array}{cc}{}^n,& 0n10\\ 0& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

And $x(n)$ a discrete pulse of form

$x(n)=\{\begin{array}{cc}1,& 0n5\\ 0& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

Calculate the below output values of where $y(n)=x(n)**h(n)($convolution$)?$

$y(n)$ LSI $($Linear Shift Inveriant System$)$

b$)$ For given discrete function $x(n)=(9-n)[u(n)-u(n-9)]$ make a sketch of

following functions

i$.,y_1(n)=x(3-n)$

ii$.,y_2(n)=x(3n-3)$

iii. $,y_3(n)=x(9-3n)$