Fourier Transform Applied to NMR

[dsnel23]

Homework Statement

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!

Homework Equations

The Attempt at a Solution

 

[marcusl]

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.