User's Manual

Appendix F: Miscellaneous
F-2 AWG710&AWG710B 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:
Here, “n” is the number of waveform points and “i” is an integer in the range, i=1,
2, ..., n.
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
Last point
f
′ x
i
() n
fx
i 1+
()fx
i 1–
()–
2
--------------------------------------------
=
f(x
i-1
)
f(x
i
)
f(x
i+1
)
x
i
∆ x
x
n
∆ x
f
′ x
1
()
n 3fx
1
()– 4fx
2
()fx
3
()–+
2
-------------------------------------------------------------------=
f
′ x
n
()
nfx
n 2–
()4– fx
n 1–
()3fx
n
()–
2
---------------------------------------------------------------------------=