For the system described by the MATLAB program of Problem,
(a) Find the system difference equation.
(b) Find the particular solution for the difference equation, with the excitation x[n] = a[n].
(c) Find the system transfer function.
(d) Use the transfer function to verify the results of Part (b).
(e) Change the MATLAB program such that x[n] = a[n].
(f) Verify the solution in Parts (b) and (d) by running the program. Recall that only the steady-state response has been calculated.
Consider the MATLAB program for the simulation of an LTI system:
y(1) = 0;for n =1:6; x(n)=0.8^(n-1); endfor n = 2:6y(n)=0.7*y(n-1)+3*x(n)-2.2*x(n-1);endy
(a) Write the system difference equation.
(b) Draw the form I representation for the system.
(c) Draw the form II representation for the system.
(d) Express the input signal x[n] as a function of n.
(e) Solve for y[n] as a function of n.
(f) Verify the solution in part (e) by running the MATLAB program.
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