The standard FFT equation which relates sampling frequency , number of samples, and time period of the FFT is:
This equation is used in:
- http://www.maximintegrated.com/app-notes/index.mvp/id/3190
- http://enpub.fulton.asu.edu/jalali/EEE598_Fall07/EEE%20598,%20Week%201,Lecture2.pdf (slide 3)
- "Digital Signal Processing", Mulgrew, Grant and Thompson, 2nd ed, ISBN 0-333-96356-3, page 251
- "Numerical Recipes in C" Press, Teukolsky, Vetterling, Flannery, 2nd ed, ISBN 0-521-43108-5, page 550
For coherent sampling we want to have some number of cycles, M, of our sinewave within the period , so if we have a sinewave frequency of , then the sinewave duration is , and we can write
Now equating , we get:
and so we get:
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