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 > >