Exponential Fourier Series

Discussion in 'Homework Help' started by GirishC, Feb 3, 2010.

1. GirishC Thread Starter Active Member

Jan 23, 2009
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Determine the Fourier series (one-sided) for the waveform in​
Fig. 3.7. Evaluate your result for
A ¼ 2, t ¼ 2 s, T ¼ 4 s.

My question is What slope do I need to take between 0 to T.

if I take t/T then I get wrong answer...could anybody tell me how to go about it?

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2. t_n_k AAC Fanatic!

Mar 6, 2009
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I would take the slope as 1 between 0 and 2s and 0 between 2 & 4 sec.

So
x(t)=t for the interval t=0 to 2 seconds
and
x(t)=2 for the interval t=2 to 4 seconds

3. GirishC Thread Starter Active Member

Jan 23, 2009
58
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With this I got the Cn as below. How do I further respolve and calculate the first seven harmonics?

I know I need to further evaluate it...but do not know how to proceed

Mar 6, 2009
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5. GirishC Thread Starter Active Member

Jan 23, 2009
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Here is the attachment. My apologies for improper update.

I am basically unable to understand how do I proceed in general to minimize the equation and eventually calculate the harmonics.

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6. t_n_k AAC Fanatic!

Mar 6, 2009
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Assuming your general solution is correct you would make the substitutions for given values of T, $\tau$ and A.

Then you would apply the Euler identities where applicable and evaluate each term for the required harmonic numbers n.