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Appendix F: Miscellaneous
F-2
AWG610 Arbitrary Waveform Generator User Manual
In actual practice, when function f(x)is expressed by n values, the differential
value f’(x
i
) at point x
i
is given by the following equation:
fȀ(x
i
) + n
NJ
f (x
i)1
)ćf (x
ić1
)
Nj
2
Here, “n” is the number of waveform points and “i” is an integer in the range,
i=1, 2, ..., n.
f(x
i
)
x
i
x
n
n
x
f(x
i+1
)
f(x
i–1
)
n
x
Figure F-1: Equation differentiation
The values at the first and last points are obtained from the following equations
rather than from the center deviation:
First point
fȀ(x
1
) +
n
NJ
ć3f (x
1
) ) 4f (x
2
)ćf (x
3
)
Nj
2
Last point
fȀ(x
n
) +
n
NJ
f (x
nć2
)ć4f (x
nć1
) ) 3f (x
n
)
Nj
2