Graphics Programs Reference
In-Depth Information
Fourier Transform
Table
Appendix 13A
x
()
X
()
ARect t
τ
(
⁄
)
A
τ
Sinc
ωτ 2
(
⁄
)
; rectangular pulse
A
∆
t
τ
(
⁄
)
A
τ
; triangular pulse
---
Sinc
2
τω 4
(
⁄
)
σ
2
ω
2
2
t
2
2σ
2
1
2πσ
------------
exp
----------
--
--
exp
---------
; Gaussian pulse
at
1
⁄
(
a
ω
+
)
e
u
()
2
a
at
e
------------------
a
2
ω
2
+
at
ω
0
e
sin
ω
0
t
u
()
-----------------------------------
ω
2
)
2
+
(
a
ω
+
at
a
ω
+
e
cos
ω
0
tu
()
-----------------------------------
ω
2
)
2
+
(
a
ω
+
δ ()
1
1
2πδ ()
u
()
πδ ()
1
j
ω
+
------
sgn
()
2
j
ω
------
657
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