Howtosignalprocessing
How is DFT calculated?
The DFT formula for X k X_k Xk is simply that X k = x ⋅ v k , X_k = x \cdot v_k, Xk=x⋅vk, where x x x is the vector ( x 0 , x 1 , … , x N − 1 ) .
Why DFT is calculated?
The DFT is also used to efficiently solve partial differential equations, and to perform other operations such as convolutions or multiplying large integers. Since it deals with a finite amount of data, it can be implemented in computers by numerical algorithms or even dedicated hardware.
