Discrete Fourier Series (DFS) x1]=∑e2 x/N )kn Let w=e n=0 Analysis equation:]=∑p n=0 ◆ Synthesis equation:x]=∑Xk k=0 F DES 团平[] discrete<> periodic F periodic<> discrete13 Discrete Fourier Series (DFS) ◆Let 2 N j W N e  − =      − = = 1 0 ~ ~ N n kn n WN X k x xn Xk DFS ~ ~  periodic discrete F  discrete periodic F  ◆Analysis equation:      − = − = 1 0 ~ 1 ~ N k kn WN X k N ◆Synthesis equation: x n     ( ) 1 0 2 N n j N kn X k x n e  − = − = 