A discrete-time system has an input x(n) and output y(n). For n ≥ 0 it is described by the linear, constant-coefficient difference equation: y(n)− 2.501y(n − 1)+2.1157y(n − 2)−0.5917y(n-3)=0.024x(n−1)+0.0054x(n − 2) - Find the transfer function H(z) of the system. - Assume zero initial conditions. Given that the input to the system is a discrete-time sinusoid commencing at n = 0, i.e. x(n) = cos(Q¸n)u(n), find the steady-state response of the system for the six special frequencies: 20 =0,,,,,.