Tektronix AWG710, AWG710B F-2 AWG710&AWG710B Arbitrary Waveform Generator User Manual, Here, n is the number of waveform poin ts and i is an integer in the range, i =1, 2, ..., n.

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 poin ts 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 obt ained from the following equations
rather than from the center deviation:
First point
Last point
f
′xi () n
fx
i1+
()fx
i1–
()–
2
----------------------------------- ---------
=
f(x i-1)
f(x i)
f(x i+1)
x i
∆ x
x n
∆ x
f
′x1 () n3fx
1
()–4fx
2
()fx
3
()–+
2
------------------------------------ -------------------------------=
f
′xn () nfx
n2–
()4–fx
n1–
()3fx
n
()–
2
----------------------------------- ------------------------------------ ----=