Question

Implement Matlab code for the periodic signals given by their Fourier Series approximation as follows: 100 k=-100 100 E2 sine alytai".트.h(블)-a* Implement the sum as given by the above equations. Note that in Matlab, array indices are pos- itive and start at 1. Define the negative coefficients carefully. Plot the signals, and the real and imaginary part of the signals ri (t) and x2 (t). In each case, determine the following: (a) Are the signals real? (b) Are the signals even or odd? Explain why

in Matlab

Answer 1

`Hey,

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clear all
clc
t=0:0.01:2*pi;
for i=1:length(t)
x1(i)=0;
for k=-100:100
x1(i)=x1(i)+j*k*exp(-abs(k))*exp(j*k*2*pi*t(i)/50);
end
x2(i)=0;
for k=-100:100
x2(i)=x2(i)+abs(sin(k*pi/2))*exp(j*k*2*pi*t(i)/50);
end
end
plot(t,real(x1),t,real(x2));
title('Real part plot');
legend('x1(t)','x2(t)');
figure;
plot(t,imag(x1),t,imag(x2));
title('Imaginary part plot');
legend('x1(t)','x2(t)');

MATLAB R2018a Figure 2 Log In Figure Eile Edit View Insert Tools Desktop Window Help Eile Edit View Insert Iools Desktop Window Help New Open Save x 10 Imaginary part plot Real part plot 120 ーx1 (t) x1(t) -x2(t) Current Folder 100 Name- 0409 困 1033 田 困 af-ZA -am-et 60 Applocker ar-SA as-IN 田 | 困 az-Latn-AZ : be-BY bg-BG 困 | bn-IN -20 40 Name ▲ 100 x629 double 1x629 complex double 629 complex double Ln 19 Col 30 O Type here to search ENG 1:01 PM IN 03/26/19

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