(Solved): 5. Determine the Fourier series coefficients of the following signals, where x(t), y(t) and z(t). Ar ...

5. Determine the Fourier series coefficients of the following signals, where x(t), y(t) and z(t). Are Defined in the first picture.

(a) m(t) = z(0:25t)

(b) p(t) = 3 (dy(t)/ dt) + 4x(t)

(c) r(t) = x(3 - t)

4. For each of the following signals, determine the Fourier series coefficients. Sketch ak for k = 0, +1, +2. You can use MATLAB for your sketches. (a) r(t) is periodic with period T = 2 and r(t) = t for ?1 < t < 1 -1 < t < 1 (b) y(t) is periodic with period T = 8 and y(t) = 0 1 < t < 7 (c) z(t) shown in Fig. 1. z(t) 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 -4.5 0.4 exp(-0.8t) -3 -1.5 1.5 Figure 1: Signal for Question 4c 3 t 5. Determine the Fourier series coefficients of the following signals, where r(t), y(t) and z(t) are defined in Question 4. (a) m(t) = 2(0.25t) dy(t) (b) p(t) = 3- + 4x(t) dt (c) r(t) = x(3 t)