RE: Fourier Series Expansions and it's Coefficients question revised tia

• To: mathgroup at smc.vnet.net
• Subject: [mg85222] RE: [mg85198] Fourier Series Expansions and it's Coefficients question revised tia
• From: Šerých Jakub <Serych at panska.cz>
• Date: Sat, 2 Feb 2008 03:32:23 -0500 (EST)

```I think, that one solution could be to find interpolating polynomial first,

InterpolatingPolynomial[{14, 18.7, 9, 4.1, 6.7, 6, 6.3, 8.4, 4, 2.9},x]

and than create Fourier Series from it. But I'm Mathematica newbie, so may
be, there is some much more elegant solution.

Jakub

> -----Original Message-----
> From: ratullochjk at gmail.com [mailto:ratullochjk at gmail.com]
> Sent: Friday, February 01, 2008 8:20 AM
> To: mathgroup at smc.vnet.net
> Subject: [mg85198] Fourier Series Expansions and it's
> Coefficients question revised tia
>
> Fourier Series Expansions and it's Coefficients question revised
>
> Greetings
>
> I've worked through a Fourier Series Expansion and it's
> Coefficients and have a better gasp at a how to explain my
> question.  If I'm giving a repeating wave at (T) period of 10
> seconds with amplitudes At 14, 18.7,9,4.1,6.7,6,6.3,8.4,4,2.9
> how can I find the Fourier Series Expansions in Trigonometric
> form using mathematica 6.  I've included an example that I've
> worked through below
> http://demos.onewithall.net/discrete_fourier_expansion_coeffic
> ients.jpg
>
> I've been through mathematica site and they have examples of
> Fourier Series but the examples they have are examples of
> equations they give you.  I'm looking for an example where
> the equation isn't known and all you're given is the
> waveform, repeating period in seconds and the amplitudes.
> Like in my example.
> http://demos.onewithall.net/discrete_fourier_expansion_coeffic
> ients.jpg
>
> Does an example exist? If not what are the steps needed in
> mathematica 6 to accomplish this.
>
> Tia simple
>
>

```

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