Find a general expression for y(k) for the system
![$\displaystyle y[k]-\frac{5}{6}y[k-1]+\frac{1}{6}y[k-2]$](sol5/sol5/img1.gif) |
= | 5f[k-1]-f[k-2] | (1) |
where y(-1)=2, y(-2)=0, f(k) = u(k)
Find F_r = the DFT of f_k = [1 0 0 1] and plot the magnitude and phase of F_r. Find the IDFT of F_r to verify it is equal to [ 1 0 0 1] as expected.