Extra Credits EET $3300$

Problem I.

$($a$)$ If the filter coefficients of an FIR filter are $\{$b$\_($k$)\}=\{0,1,-2,1\},$ make a plot of the output when the

input is the unit step signal: x$[$n$]=$u$[$n$]=\{(0$ for n:$\}$

$($b$)$ Suppose that the frequency response of a different FIR filter is

H$($hat$(\backslash$omega $))=2$jsin$($hat$(\backslash$omega $))$e$^(-$j$2$hat$(\backslash$omega $))$

If the input signal is $,$x$[$n$]=3+2$cos$((1)/(2)\backslash$pi n$-\backslash$pi $),$ for

Please help.