$($DSP$($digital signal proccess module$))($SOLVE IN PAPER PLEAS$+$INCLUDE ALL STEPS FOR SOULUTION$)$

Task $4$

$4.$ The signal $x(n)=[1,2,-2,-2,1]$ is given to a system described by the difference equation $h[n]=3x[n]+x[n-1]-x[n-2]$

a$)$ Obtain the system output, $y[n]$ using Tabulation convolution method.

b$)$ Critically analyze the system with the input, output and impulse response of the systems