User's Manual

Appendix D: Sample Waveforms
D-2 AWG710&AWG710B Arbitrary Waveform Generator User Manual
Waveform File Descriptions
This subsection describes the 22 representative waveform files. Some of the
waveform files were obtained by creating an equation file in the equation editor and
then compiling it to create a waveform file. Others were created in the waveform
editor or disk application. To output a waveform file, select the file in the SETUP
menu.
Table D-2: Gaussian pulse
File name GAUSS_P.WFM Made with equation editor
Equation
size = 1000
clock = 1e9
’pulse width k0 = 30e
’9’peak location k1 = 500e-9
“gauss_p.wfm” = exp(-log(2) * ((2* (time - k1) / k0) ^ 2))
Descriptions
The waveform that is generated when the pulse width is tW50 and
the peak location is 0 can be expressed as:
Substituting
gives,
and taking the Fourier transform gives:
This shows that this signal has a form in the frequency domain as
well.
Example
When t
w50
is 30 ns, the bandwidth will be 10.4 MHz.
Settings
Waveform points: 640, Clock frequency: 1.0 GHz,
Output time: 640 ns
Vt() In 2()
2t
t
w50
---------


2
⋅–



exp=
σ
t
w50
22In 2()
-------------------------=
f
t()
t
2
2σ
2
---------–



exp=
Fjω() 2πσ
ω
2
σ
2
2
-------------–


exp⋅=