1) A discrete time signal x[n] is given in Figure 1.
a. Draw x[n-3], x[1-n], 2x[2n-1], find the signals $x_e[n]$ and $x_o[n]$ (even and odd symmetric
parts of the signal respectively).
b. Find the output y[n] by convolution if input x[n] in Figure 1 is applied to the below LTI
system H where impulse response is h[n]=u[n]-u[n-4]-$\delta$[n-2]
3
2
1
x[n]
0
-2
0
1
2
3
n
-1
-2
-3
Figure 1: x[n]
2) Compute and draw the output y(t) for a continuous-time LTI system whose impulse
response h(t) and input x(t) are given by $h(t) = e^{2t} u(t)$ and $x(t) = e^{2t} u(-t)$
Determine whether it is causal and stable.
