Fourier transforms with procedures such as Discrete Fourier Transforms and Fast Fourier Transforms
The mathematical expression of DFT is based on:
For a real-valued time signal, the DFT spectrum exhibits:
Parseval’s theorem states that:
Spectral leakage occurs due to:
Zero-padding a signal before applying DFT primarily:
The FFT algorithm requires N to be:
Circular convolution in time domain corresponds to:
The DFT assumes the input sequence is:
Aliasing can be avoided by:
The main practical advantage of FFT over direct DFT is: