Fourier transform for dummies - Mathematics Stack Exchange What is the Fourier transform? What does it do? Why is it useful (in math, in engineering, physics, etc)? This question is based on Kevin Lin's question, which didn't quite fit in MathOverflow An
Why do Fourier Series work? - Mathematics Stack Exchange Fourier had to fight to get others to believe that he might be correct in his belief that such expansion could be general Many still unfairly accuse Fourier of not having been precise at all To Fourier's credit, the Dirichlet kernel integral expression for the truncated trigonometric Fourier series was in Fourier's original work
What is the difference between the Discrete Fourier Transform and the . . . 7 Discrete Fourier Transform (DFT) is the discrete version of the Fourier Transform (FT) that transforms a signal (or discrete sequence) from the time domain representation to its representation in the frequency domain Whereas, Fast Fourier Transform (FFT) is any efficient algorithm for calculating the DFT