1D FFT algorithm elements explanation?

1. What is 1D FFT?
2. How do you explain FFT?
3. What is 1D FFT and 2D FFT?
4. What are the types of algorithms used in FFT?

What is 1D FFT?

1D Fourier transform, introduction

(linear) signal processing and control theory. ■ It provides one-to-one transform of signals from/to a time-domain. representation f(t) to/from a frequency domain representation. F(ξ).

How do you explain FFT?

The "Fast Fourier Transform" (FFT) is an important measurement method in the science of audio and acoustics measurement. It converts a signal into individual spectral components and thereby provides frequency information about the signal.

What is 1D FFT and 2D FFT?

Just look at the math for 1D vs 2D FFT. In the 1D case, there is only 1 independent variable (x[n]). In 2D, there are two. It doesn't make sense to apply a 2D signal (i.e. two independent variables such as rows&columns in your image example) to a function that only takes one independent variable.

What are the types of algorithms used in FFT?

Other FFT algorithms

Algorithms that recursively factorize the DFT into smaller operations other than DFTs include the Bruun and QFT algorithms. (The Rader–Brenner and QFT algorithms were proposed for power-of-two sizes, but it is possible that they could be adapted to general composite N.