Howtosignalprocessing
- What makes the FFT fast?
- How much faster is FFT?
- How many times faster is an FFT than a DFT for a block size of 256 samples?
- What is the fast Fourier transform and what for we applied?
What makes the FFT fast?
the easiest way to understand why its faster is because FFT uses both cos+sin on the other hand DFT only uses cos, DFT is more common because it requires less space in compression in general for image, sound,... the other comments are do a deep dive, mine is just a taste of the stuff.
How much faster is FFT?
Graphical explanation for the speed of the Fast Fourier Transform. For a sample set of 1024 values, the FFT is 102.4 times faster than the discrete Fourier transform (DFT). The basis for this remarkable speed advantage is the `bit-reversal' scheme of the Cooley-Tukey algorithm.
How many times faster is an FFT than a DFT for a block size of 256 samples?
This means FFT is 32 times faster than DFT.
What is the fast Fourier transform and what for we applied?
The FFT is used to process data throughout today's highly networked, digital world. It allows computers to efficiently calculate the different frequency components in time-varying signals—and also to reconstruct such signals from a set of frequency components.
