1. Create a MATLAB example that demonstrates the conjugate-symmetry property do xk= f f t (1 : 8). List the values of the MATLAB vector Xk to verify that X[N – k] = X*[k] for k = 0, 1 , 7. In addition, list the value of to for each index k.
2. Show that X2[k] in (13.39) can be obtained by substituting φ = 0 and = 2πk0/N in (13.38).