Fourier Series Representation of dt Periodic signals xn]-periodic with fundamental period N, fundamental frequency 2丌 n+N=an and wo Only e/o n which are periodic with period N will appear in the FS uN=k2丌分W=k0,k=0,±1,土2, There are only N distinct signals of this form j(k+Won joe nWO So we could just use e] wom, e] Iwon, eJ2wo n ,e(N-1)won However, it is often useful to allow the choice ofN consecutive values of k to be arbitraryFourier Series Representatio n of DT Periodic Signals • x[n] - periodic with fundamental period N, fundamental frequency • Only ejω n which are periodic with period N will appear in the FS • S o w e could just use • However, it is often useful to allow the choice of N consecutive values of k to be arbitrary. ⇓ • There are only N distinct signals of this form