Question

Hi can you help me solve the following Signals and System (Continuous Time Fourier Series) question using MATLAB and show me the code for the MATLAB.

1. Using MATLAB graph each sum of complex sinusoids over the time period indicated. 9 r k-2 に-9L

Answer 1

1)matlab code and result

clear;clc;
%%
T=200e-3;%200msec for time vector
t=-T:(2*T/1000):T;%time index vector from -200msec to 200msec
K=-9:9;%vector for harmonics
CK=(j/4)*(sinc((K+2)/2)-sinc((K-2)/2));%fourier series cofficient vector
Xt=CK*exp(j*10*pi*K'*t);%time signal
plot(t,Xt);
title('Plot of X(t) over -200ms to 200msec');
xlabel('time(second)');ylabel('X(t)');grid on;

Plot of X(t) over-200ms to 200msec 0.8 0.6 0.4 0.2 -0.2 -0.4 -0.6 -0.8 0.1 0.05 0.15 -0.2 -0.15 0.1 0.2 -0.05 time(second)