Consider the LTI described by the following input-output relation:
y[n] = 3/4y[n-1]-1/8y[n-2]+x[n]
a)Find system function H(z) and check is system is stable.
b)Determine impluse response h[n] of system
c)Determine the step response s[n] of the system
d)Compute h[n] and s[n] for 0<= n<=10 using (b) and (c).