Fourier Transform Calculator (Common Pairs)
Fourier transform F(f) = ∫x(t)e^(−j2πft)dt of a Gaussian, rectangular pulse, triangle pulse or decaying exponential, evaluated at a frequency.
How to use the Fourier Transform Calculator
- Enter or select: Signal x(t), Parameter a (or T), Frequency f.
- The results (Re F(f), Im F(f), |F(f)|, Phase, F(0) = area under x(t), Signal energy ∫|x|²dt, Transform pair) are calculated instantly as you type.
- Use “Copy link” to share the calculation with the same input values.
Formula
- F(f) = ∫ x(t) e^(−j2πft) dt
- Parseval: ∫|x|² dt = ∫|F|² df