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I'm new in digital signal processing and having hard time understanding this. By Fourier Transform I mean Discrete Fourier Transform as it's the only one I'm learning.

As far as I know Fourier Transform transforms a signal into an equivalent set of signals in sinusoid form, which when summed gives the original signal back.

If I got it right, a signal could also be represented by other things instead of sinusoids but because sinusoids are easy to process this is preferred and FT is used.

I also understand that with DFT I get amplitude and phase of the sinusoid at given frequency. But why should I care about these properties(amplitude, phase and frequency) of equivalent sinusoids? What's so special about it and does it really have a "natural" meaning?

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  • $\begingroup$ Welcome to DSP.SE! I don't know if this answers the question and it might be off-topic, but I think this video is great. $\endgroup$ – Tendero Jan 14 '19 at 13:37
  • $\begingroup$ Welcome to SE.SP! Please read the question and its answers that I've marked as a duplicate of your question. If you don't think it's a duplicate, please edit your question to make it clearer what the differences are between the duplicate and your question. $\endgroup$ – Peter K. Jan 14 '19 at 15:44