Fourier transform
Table of common Fourier transform pairs that are often used in communications systems analysis.
Function
Time Waveform
Spectrum
Constant
1
d
f
Impulse
d
(
t
-
t
0
)
Rectangular pulse
Width =
T
Triangular pulse
Width =
T
Cosine
Impulse train
Time delay
x
(
t
T
d
)
Conjugation
x
*(
t
)
X
*(
f
)
Frequency translations
V
(
f
f
c
)