Fourier

Hi,

Hope you are all well please could anyone :confused:

assist me in this question on fourier.

It is not my strong point at all.

the question is f(t) =
1+t/4 -4<t<0
1-t/4 0<t<4
the period is 8
I need to plot a graph of the signal and determine the first 4 terms.

please could you give me some guidance n this as i am looking at examples on line but i still cant get round it.

Many Thanks

Reply 1

TeeEm

19

Original post by x1smurf1x

Hi,

Hope you are all well please could anyone :confused:

assist me in this question on fourier.

It is not my strong point at all.

the question is f(t) =
1+t/4 -4<t<0
1-t/4 0<t<4
the period is 8
I need to plot a graph of the signal and determine the first 4 terms.

please could you give me some guidance n this as i am looking at examples on line but i still cant get round it.

Many Thanks

I do not know if there is anybody that can help directly with this example but as I am very busy for the next hour or so try this link

http://www.madasmaths.com/archive/maths_booklets/advanced_topics/fourier_series.pdf

Reply 2

x1smurf1x

OP

1

Original post by TeeEm

I do not know if there is anybody that can help directly with this example but as I am very busy for the next hour or so try this link

http://www.madasmaths.com/archive/maths_booklets/advanced_topics/fourier_series.pdf

Hi TeeEm

Thank you I will try and see if I can get anywhere with the link you provided me.

Fourier is the only one I seem to struggle with.

Reply 3

x1smurf1x

OP

1

Hi,

I think I have solved it but i am very unsure here is the link to my solution
https://onedrive.live.com/redir?page=view&resid=4691232D32396B5!3770&authkey=!AJurOPoY_d690Cw

Many Thanks

Reply 4

TeeEm

19

Original post by x1smurf1x

Hi,

I think I have solved it but i am very unsure here is the link to my solution
https://onedrive.live.com/redir?page=view&resid=4691232D32396B5!3770&authkey=!AJurOPoY_d690Cw

Many Thanks

If I get a minute tonight I will do the question myself and post a solution here or in my site

Reply 5

x1smurf1x

OP

1

Original post by TeeEm

If I get a minute tonight I will do the question myself and post a solution here or in my site

Hi TeeEm

Much appreciated :smile:

Reply 6

username1732133

15

Original post by x1smurf1x

Hi,

I think I have solved it but i am very unsure here is the link to my solution
https://onedrive.live.com/redir?page=view&resid=4691232D32396B5!3770&authkey=!AJurOPoY_d690Cw

Many Thanks

I haven't looked at all of your working but I have spotted a couple of things on the first page.

Where you have 1/8 in line three should this be 1/4? i.e. 1/L rather than 1/2L. Edit: You have

a_0

correct however. This might just be a difference in notation, it depends whether or not you divide by 2 later.

Also it is not necessary to carry out the integration of f(t). This is simply the area of a triangle.

I've added an answer (without working) here.

(edited 9 years ago)

Reply 7

x1smurf1x

OP

1

Hi,

I have got A0 to equal 1/2 or 0.5