3 Fourier Series Representation of Periodic Signals 3. Fourier Series Representation of Periodic Signal Jean Baptiste Joseph Fourier born in 1768 in france 1807, periodic signal could be represented by sinusoidal series 1829, Dirichlet provided precise conditions 1960s, Cooley and tukey discovered fast Fourier transform3 Fourier Series Representation of Periodic Signals 3.Fourier Series Representation of Periodic Signal Jean Baptiste Joseph Fourier, born in 1768, in France. 1807,periodic signal could be represented by sinusoidal series. 1829,Dirichlet provided precise conditions. 1960s,Cooley and Tukey discovered fast Fourier transform