Difference between revisions of "Fourier Transform"

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This signal gives intensity of the signal versus time. A fourier transform algorithm is applied to the signal which converts it to intensity versus frequency:
 
This signal gives intensity of the signal versus time. A fourier transform algorithm is applied to the signal which converts it to intensity versus frequency:
  
[[File:ethanol_fid_and_spectrum.png|500px]]
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[[File:ethanol_fid_and_spectrum.jpg|500px]]

Revision as of 08:04, 15 April 2021

Fourier Transform does mathematically what our ears do physically: resolve a signal into component frequencies. FT is a method to determine the simple wave components of a mixed wave. The method is theoretically based on calculus, but is actually carried out computationally using numerical analysis.

The signal output from an NMR instrument is called a Free Induction Decay (FID) and looks like this:

This signal gives intensity of the signal versus time. A fourier transform algorithm is applied to the signal which converts it to intensity versus frequency:

Ethanol fid and spectrum.jpg