2.1 Fourier Series (10 points) Consider the periodic signal shown in Fig. 1. (a) (6 points) Represent the signal using the exponential form of the Fourier series. Determine the Fourier coefficients, specify the DC component and the magnitude and phase of other frequency components. (Read the y- axis carefully) (b) (4 points) Synthesize the signal using the compact trigonometric form of the Fourier series. x(() 3 2.5 2 1.5 0.5 Figure 1: r(t) 1