How should I plot a square wave signal by utilising fourier series?

How should I code this square wave by utlising fourier series signal? I do not have any idea how to do so.

The amplitude and period of the graph is both 1.

[Saurabh]

Hi @Tan,

I guess you have provided the wrong screenshot, can you check it once.

[Tan]

Hi @Saurabh

Could you check this question and see? Sorry for the inconveniences caused and thanks for helping.

Answer 1

[Star Strider]

A relatively straightforward approach to creating a square wave pulse train from sinusoids is to do something like this —

Fs = 1000;
L = 10;
t = linspace(0, Fs*L, Fs*L+1).'/Fs;
fv = 1:2:100;
s = sum(sin(2*pi*t*fv) ./ fv,2);

figure
plot(t, s)
grid
axis('padded')

Adapt it to your requirments.

.

[Tan]

[Tan]

Hi @Star Strider could you solve it with the question attached as the comment above? Initially I wanted to solve this question, but I attahced the wrong picture. Sorry for the inconveniences caused, and thanks for helping.

[Star Strider]

I could, however I choose not to.

The reason is that this is a homework problem (obviously), and I have given you enough information to solve the rest of it. You will need to add a phase term (so that the square waves are symmetric about zero, or use cos instead of sin) and change ‘fv’ to correspond to the requirements of the question.

I leave the rest to you.

[Tan]

alright. thanks

[Star Strider]

My pleasure!