ELI5! Fourier – Transformation

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need some help in math 🙂

calculating and talking about these topics general

fouriertransformation, harmonic analysis, modulation set

the only thing i know is, there is a connection between these topics

In: Mathematics

4 Answers

Anonymous 0 Comments

Imagine you are sitting on a dock and watching waves come in. These waves can be easily described as something with a wavelength and an amplitude. One wave every 5 seconds for example, with a height of one meter. That frequency and amplitude are a Fourier coefficient. Now image a small boat goes past and creates another, higher frequency and lower amplitude wave “ on top of” the original wave. Now you can see two different waves on top of each other. Then you have two Fourier coefficients that you can add together. So F=A(f1) + B(f2)… and so on, with as many coefficients as you like.

This is very useful if you want to take a complicated wave pattern and remove some of it. For example if you are looking at something electronic and part of your signal is background noise (50 Hz) then when you reconstruct the waveform you can just remove the noise part of the Fourier series.

Harmonics are an easy concept that is difficult to explain without pen and paper. Look it up on the Khan academy website,they usually have good stuff.

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