Re: Fourier Series Expansions and it's Coefficients question revised

*To*: mathgroup at smc.vnet.net*Subject*: [mg85271] Re: Fourier Series Expansions and it's Coefficients question revised*From*: "Kevin J. McCann" <Kevin.McCann at umbc.edu>*Date*: Tue, 5 Feb 2008 05:59:03 -0500 (EST)*Organization*: University System of Maryland*References*: <fnuhg8$9sq$1@smc.vnet.net>

Use Fourier[data] to get the Discrete Fourier Transform (DFT). Look at the Help on Fourier. You may have to choose the parameters and also multiply by deltat if you are trying to compare with other results. I suggest that you take a function with a known FT, e.g. a sampled sinewave, and use that to figure out the algorithm. Kevin ratullochjk at gmail.com wrote: > 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_coefficients.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_coefficients.jpg > > Does an example exist? If not what are the steps needed in mathematica 6 to > accomplish this. > > Tia simple > -- Kevin J. McCann Research Associate Professor JCET/Physics Physics Building University of Maryland, Baltimore County 1000 Hilltop Circle Baltimore, MD 21250