Fourier transform

Table of common Fourier transform pairs that are often used in communications systems analysis.

Function Time Waveform Spectrum
Constant 1 df
Impulse d(t - t0)
Rectangular pulse Width = T
Triangular pulse Width = T
Cosine
Impulse train
Time delay x(t – Td)
Conjugation x*(t) X*(–f)
Frequency translations V(f – fc)