What's The Use Of Fourier Transform ?

Hello Everybody ,

I started working in Fourier's analysis and transformation but the first thing i would like to know is in simple words the idea of what's the use of it.

Basically i've heard that it transforms a signal from time to frequency domain and vice versa but why does that happen / what's the benefit?

Also , i noticed that it's useful in AM modulation/demodulation , so is Fourier transform part of everyday life? Is it one of the 'hidden' techniques inside of our modems/routers or whatever and besides does it happen in every connection or in every data transmission or am i mistaken?

Thanks In Advance !!!

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Originally Posted by Homo-Sapiens

Hello Everybody ,

I started working in Fourier's analysis and transformation but the first thing i would like to know is in simple words the idea of what's the use of it.

Basically i've heard that it transforms a signal from time to frequency domain and vice versa but why does that happen / what's the benefit?

Also , i noticed that it's useful in AM modulation/demodulation , so is Fourier transform part of everyday life? Is it one of the 'hidden' techniques inside of our modems/routers or whatever and besides does it happen in every connection or in every data transmission or am i mistaken?

Thanks In Advance !!!

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The Fast Fourier Transform is one of the big ideas behind a large part of signal processing. It can be used in beam forming, filter implementation and in correlators (matched filters) and probably for a large number of other purposes.

And that is not mentioning the use of the FT in partial differential equations, probability, ... etc.

As Dr Lewney says in his lecture "The Maths of Rock Guitar", "If you understand the Fourier Transform you will never be out of work".

CB