Engineering pulse wave: F(t)=3t+3, -1<t<0; =t+3, 0<t<1; =6-2t, 1<t<3.

J

jblakes

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Engineering pulse wave: F(t)=3t+3, -1<t<0; =t+3, 0<t<1; =6-2t, 1<t<3.

Good evening

I have a math question I'm stuck where to go.

Wave:
F(t)=3t+3, -1<t<0
=t+3, 0<t<1
=6-2t, 1<t<3.

To make a sketch I'm guessing I just put the values of t into respective formula, I get sort of an upside down v, now I have to carry out a Fourier decomposition of this wave then find the amp at the fundamental frequency and at the next six higher harmonics.

Ive no idea where to begin, can anyone point me in right direction?

Regards
James
 
jblakes said:
Good evening

I have a math question I'm stuck where to go.

Wave:
F(t)=3t+3, -1<t<0
=t+3, 0<t<1
=6-2t, 1<t<3.

To make a sketch I'm guessing I just put the values of t into respective formula, I get sort of an upside down v, now I have to carry out a Fourier decomposition of this wave then find the amp at the fundamental frequency and at the next six higher harmonics.

Ive no idea where to begin, can anyone point me in right direction?

Regards
James
Click to expand...
What have you learned about the relationship between the period of a function and its fundamental frequency? Of its harmonics?

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33
 
Thank you for your reply. I know the basics of what I'm doing. I am just asking what is the starting step? I will then have a go and post back my answer and hopefully get the correct answer.

Thanks in advance

Regards

James
 
Yes I understand the solutions. You just sub f(x) into formula an then integrate by parts together the values of a0 etc.
where do I go next? Or do I sub the 3t+3 as a0, then t+3 as An?

Regards
James
 
jblakes said:
Yes I understand the solutions. You just sub f(x) into formula an then integrate by parts together the values of a0 etc.
where do I go next? Or do I sub the 3t+3 as a0, then t+3 as An?

Regards
James
Click to expand...
I suggest you get a face-to-face tutor. This is too complicated for distant-explanation.
 
I may have to. Do you have a link to the idiots guide of fourier series?

I'll post back if i actually get anywhere.

regards
 
Afternoon All

Can somebody check these are correct?

An = ((16πnsin(3πn/2)+ (12cos(3πn/2))-(16cos(tn/2)-8)) / π^2 * n^2

Bn= 12sin(3πn/2) - 16πncos(3πn/2) – 4sin(πn/2) / π^2 * n^2

regards

James
 
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