I am applying wavelet transform on functional Near Infrared Spectroscopy (fNIRS) signal.

My aim is to get the info that which coefficient corresponds to which frequency in the signal. Is it possible to do so, moreover if there can be some other way please mention it.

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    $\begingroup$ wavelets are kind of a hybrid time-localized / non-localized frequency estimator. Are you sure you want to use wavelets if you actually want to know freqeuncy? That sounds like a job for the DFT. $\endgroup$ – Marcus Müller Jan 17 at 12:31
  • $\begingroup$ What if I want to do it using wavelet transform only. Is there any way sir?@MarcusMüller $\endgroup$ – Warrad Jan 18 at 12:22
  • $\begingroup$ Why would you want to use a tool that's giving you a different result than what you need? (That's an honest question, when you say "you want", I assume you have a technical reason.) $\endgroup$ – Marcus Müller Jan 18 at 12:34
  • $\begingroup$ I know I can do this using FT $\endgroup$ – Warrad Jan 18 at 14:29
  • $\begingroup$ yes, but what's the reason not to? You got to have a reason, because when you look at the FT, it's nothing but the actual projection of your signal onto "prototype" frequency signals; i.e. there can't be an integral transform that is any more optimal for harmonic frequency than the FT, so by choosing to use wavelets, you're actively doing something worse in terms of estimating frequencies. So, what's your reason for using wavelets? From that, we can infer what you'd want to do to reach your goal. $\endgroup$ – Marcus Müller Jan 18 at 14:32

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