- #1

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Thanks

- Thread starter skaboy607
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- #1

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Thanks

- #2

mathman

Science Advisor

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Try wikipedia. It can't be explained in a few sentences.

- #3

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- #4

- 1,707

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how old are you? what level mathematical maturity do you have?

- #5

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Not really sure why it matters but im 21. hmmm not that much i guess?

- #6

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you know anything about vectors? how you can express any vector as a sum of basis vectors?

- #7

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hmmm cant say that I do, is that where I should start then?

- #8

- 1,707

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what do you know then? why do you want to know about fourier transforms?

- #9

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An intuitive explanation:

I am sure you have seen one of these http://en.wikipedia.org/wiki/Spectral_analyzer" [Broken] found on Hi-Fi's or digital audio players, that plot frequency vs. amplitude. They take the audio signal (amplitude/time), apply the (discrete) Fourier transform, and display the resulting function (amplitude/frequency).

To illustrate, take the function [tex]\cos(2\pi at)[/tex], which is a wave with frequency [tex]a[/tex]. Its Fourier transform is zero except for two "spikes" at [tex]-a[/tex] and [tex]a[/tex].

A more mathematical reason why the Fourier transform is important, is that it turns differentiation into multiplication, see http://en.wikipedia.org/wiki/Fourier_Transform#Analysis_of_differential_equations", which is quite useful for solving some differential equations.

I am sure you have seen one of these http://en.wikipedia.org/wiki/Spectral_analyzer" [Broken] found on Hi-Fi's or digital audio players, that plot frequency vs. amplitude. They take the audio signal (amplitude/time), apply the (discrete) Fourier transform, and display the resulting function (amplitude/frequency).

To illustrate, take the function [tex]\cos(2\pi at)[/tex], which is a wave with frequency [tex]a[/tex]. Its Fourier transform is zero except for two "spikes" at [tex]-a[/tex] and [tex]a[/tex].

A more mathematical reason why the Fourier transform is important, is that it turns differentiation into multiplication, see http://en.wikipedia.org/wiki/Fourier_Transform#Analysis_of_differential_equations", which is quite useful for solving some differential equations.

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