Matrix Representation of Linear Systems Relationships
were W(k) = [ 1Wk W2k…W(N-1)]’.
Thus l(k) is an eigenvalue and W(k) is an eingenvector of the circulant matrix C.
Since there are N values Wk, k = 0, 1,…N-1, that are distinct, there are N distinct eigenvectors W(k), which may be written as tha N x N matrix
that is related to the DFT.