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# Fourier Series Watch

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1. I am having trouble with fourier series, can anyone point me in the right direction with the question. The graph has been attached.

f(t+3) = f(t)

The fourier representation of f(t) is given by

f(t) =ao/2 + ? ancos(2npit/3) + bnsin(2npit/3)

Determine the coefficient b2

Thank you.
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2. Just an idea. Add one to your function so that it's zero most of the time and =2 for that little bit where -1<x<0.

Get the Fourier series for that function (much less work) and then subtract 1 from your constant term.
3. (Original post by smarch)
I am having trouble with fourier series, can anyone point me in the right direction with the question. The graph has been attached.

f(t+3) = f(t)

The fourier representation of f(t) is given by

f(t) =ao/2 + ? ancos(2npit/3) + bnsin(2npit/3)

Determine the coefficient b2

Thank you.
Use the g(t) = f(t)+1 function with 2p=3 period
and integrate between -p=-3/2 and p=3/2
So:

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Updated: December 18, 2010
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