| Name |
Time domain |
Frequency domain |
| Domain property |
Function property |
Domain property |
Function property |
| (Continuous) Fourier transform |
Continuous |
Aperiodic |
Continuous |
Aperiodic |
| Discrete-time Fourier transform |
Discrete |
Aperiodic |
Continuous |
Periodic (ƒs) |
| Fourier series |
Continuous |
Periodic (τ) |
Discrete |
Aperiodic |
| Discrete Fourier transform |
Discrete |
Periodic (N)[1] |
Discrete |
Periodic (N) |