Question 1: 1-Find the Exponential Fourier series coefficients for the periodic signal x (t) shown in the figure below. 2-Sketch the amplitude and phase spectra for x (t). 3-Write the first 4 terms of x (t). 4-Find the total power of x (t). 5-What is the percentage of the power in the first 4 terms? 1 X(t) -1/2 e

H.W: Calculate the Fourier series for the waveform -16 n² π² Ans. ao 1 & an=" 0 -2π & an= -TT H.W: Calculate the Fourier series for the waveform 2π² - Ans. a, = 4(-1)" n² 3 TT 2π ^f(t) ABA sint at n = odd at n = even 2π ↑f(t) 2π AM NA 11 (1) = 1² f(t)₁ 4π² -2π MAKA sss. -2π -T -2n-it -2π-n -3 -2π 2π ہلے f(t) cos t AKA 3 4π

What is Fourier's Law and why is it important?