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Signal Processing

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  • $\begingroup$ What is your definition of the "fundamental period of a signal" for a signal consisting of multiple sinusoids? For example, what would you want to get from an audio clip? $\endgroup$ Commented Aug 19, 2024 at 16:09
  • $\begingroup$ I am working with clean periodic signals, so a fundamental period is the period for when the signal repeats itself i.e x(t)=x(t+T0), where the lowest value of T0 is the fundamental period for all t. A audio clip wouldnt have a fundamental period. $\endgroup$ Commented Aug 19, 2024 at 16:52
  • $\begingroup$ Ok. Then if you do an FFT of a perfectly periodic signal, the first peak that’s not DC would be the fundamental, wouldn’t it? $\endgroup$ Commented Aug 19, 2024 at 17:34
  • $\begingroup$ That is true, if the signal only consists of one sinusoid, which I explained in the post. This already works for me. When there are more sinusoids in the signal I get more than one peak in the frequency spectrum and therefore need to deduce a LCM for them such that a period that encapsulates all the frequencies can be found. $\endgroup$ Commented Aug 19, 2024 at 17:52
  • $\begingroup$ If there are many, yes, there will be more than one peak in the frequency spectrum. The first peak past DC is related to T0, if your signal is perfectly periodic. But from your response it seems that's not actually what you're looking for! Hence my previous question: what is the "fundamental frequency" you're referring to? Something that "encapsulates all the frequencies" isn't the same as the "fundamental frequency T0" $\endgroup$ Commented Aug 19, 2024 at 19:29