Show the Matlab code for the following problem

(5) For the system described by the following difference equation: y(n) = 0.9051y(n 1) 0.598y(n 2) 0.29y(n 3) 0.1958y(n 4) +0.207x(n) + 0.413x(n 2) + 0.207x(n 4). (a) Plot the magnitude and phase responses of the above system. What is the type of this filter? (b) (b) Find and plot the response of the system to the input signal given by: x(n) = 4sin(0.25n + /3)cos(0.45n + /4)u(n). (c) Determine the steady-state output and hence find the transient response. (d) After how any samples does the output reach steady state? Write a program to find the beginning of the steady-state period (end of transient period). Plot the transient response and calculate the energy of the transient signal. (e) Plot the magnitude spectra of the input and output signals. Hence, comment on the results.