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Fourier Transform Applied to NMR

  1. Feb 27, 2010 #1
    1. The problem statement, all variables and given/known data

    Hi, I'm taking a Chemistry NMR & MRI class and were going over the part where the time domain graph is converted to the frequency domain graph by way of the Fourier Transform. I took Applied Mathematics last semester and we spent a week on the Fourier Transform but no time on the Fourier sine or cosine transform.

    From what I can tell, all periodic functions can be described as a sum of sine and cosine functions. The Fourier Transform of this can be divided into a real and imaginary part.

    Does anyone have an example or two of say an expression before and after? And if possible a graph before and after? Like which part is the real and which the imaginary? If I'm wrong somewhere here I apologize and let me know please.

    Thanks for any input!


    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 2, 2010 #2

    marcusl

    User Avatar
    Science Advisor
    Gold Member

    You might type "Fourier Transform Tutorial" into google. There are lots of sites that cover FT basics, and even online calculators where you can enter functions and see their transforms right away. Come back here if you still have questions.
     
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