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The Discrete Fourier Transform (DFT) is a mapping between a finite set of discrete points in a (primal) domain (time, space) and the dual frequency domain. DFT requires an input sequence which is discrete, such as a sampling from an analogue audio signal.

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1 answer
4k views

Why is X(0) the DC component

Why exactly is X(0) the DC component of a signal? How is it equal to N times x(n)'s average value and why it is at X(0)?
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2 answers
2k views

From time domain to frequency domain

I know the DFT is used, but what exactly is happening for it to be able to extract frequencies from amplitude values? Is amplitude between -1 and 1 mapped from pressure levels? …
some_id's user avatar
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