Faculty of Engineering and Technology Department of Electrical and Computer Engineering Summer Semester 2021/2022 Communication Systems ENEE 3309 Course Project; Due Date January 22, 2023 Instructors: Dr. Wael Hashlamoun; Dr. Qadri Mayyalah; Dr. Ashraf Rimawi Consider the periodic signal g(t), for which one period is shown in the figure below One Period of the periodic signal g(t) where A=1 and T0=0.1sec. This signal can be expanded in a trigonometric Fourier series as: g(t)=a0+n=1(ancosn0t+bnsinn0t) Now, consider the approximate signal: ga(t)=a0+n=1K(ancosn0t+bnsinn0t) 1. Find a0,a1,a2,a3,b1,b2, and b3 (you can use matlab or any other code to find numerical values of the coefficients) 2. Use matlab to plot g(t) and ga(t) for K=3, on the same figure for one cycle of g(t). 3. The mean square error between g(t) and ga(t) is defined as MSE=T01(0T0(g(t)ga(t))2dt) Find the mean square error for K=1,2, and 3. Summarize your results in a table. 4. If ga(t) (when K=3 ) is multiplied by the carrier c(t)=10cos2(200)t followed by an ideal bandpass filter to generate the single sideband signal s(t), find s(t) and its spectrum