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What Is the Fourier Transform?

(www.quantamagazine.org)
474 points rbanffy | 1 comments | 04 Sep 25 22:11 UTC | HN request time: 0.384s | source
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Salgat ◴[04 Sep 25 22:35 UTC] No.45133006[source]▶
Always blew my mind that every signal can be recreated simply by adding different sine waves together.
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esafak ◴[04 Sep 25 22:42 UTC] No.45133064[source]▶
Only if it is band-limited.
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CamperBob2 ◴[04 Sep 25 23:08 UTC] No.45133266[source]▶
And of infinite duration, if you want to split hairs.
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1. Blackthorn ◴[04 Sep 25 23:39 UTC] No.45133482[source]▶
Are the dirac or kronecker delta functions infinite duration? I guess it depends on the proof whether you can shorten them or not.