Deepthi Gorthi Radio astronomer

Fourier Transforms, Fourier Series, DTFT, DFT, FFT.. so many abbreviations and terms!

Here is a grand summary for a quick brush-up.

The Fourier Transform:
Continuous function to continuous function
  FT
Fourier Series:
Periodic Continuous Function to a Discreet function
  FS
Discreet Time Fourier Transform:
Discreet Function to a Periodic continuous function
  DTFT
Discreet Fourier Transform:
Periodic Discreet Function to a Periodic Discreet Function
  DFT