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Appendix D: Sample Waveform Library
AWG2021 User Manual
DĆ9
Made with the equation editor.
Figure DĆ6: Nyquist Pulse Formula and Waveform
Constants k0 is the period of the digital data used in communication or recording.
k1 is the pulse peak location. k2 is the excess bandwidth factor, and is a
value between 0 to 1.
Description This is the impulse response of a wave shaping Nyquist filter. The shoulder
characteristics of this filter are referred to as "cosine rollĆoff" characteristics,
and the bandwidth used can be varied. This waveform can be expressed by
the following formula.
Here T is the data period and a is a value between 0 and 1. A wider band is
required for values closer to 1, where ripple is reduced and implementation
is easier.
V(t)Ă +Ă
cos
ǒ
pat
T
Ǔ
1ć
ǒ
2at
T
Ǔ
2
@
sin
ǒ
pt
T
Ǔ
pt
T
Settings Waveform points: 1000
Clock frequency: 100 MHz
Output time: 10 ms
Nyquist Pulse
(NYQUIST.WFM)