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Integration
AWG610 Arbitrary Waveform Generator User Manual
The integ() function integrates numerically based on a trapezoidal formula. The
trapezoidal formula is expressed with the following equation:
n
f (x
) ) f (x
i 1
f (x)dx +
2
i+1
+ D x
{f(x
) ) 2f(x
1
2
Here, n is the number of waveform points and i is an integer in the range
i = 1, 2, ..., n.
f(x
)
i–1
n x
x
x
i
i–1
Figure F-2: Equation integration
The integration is actually calculated with the following formula:
f (x)dx + 1 2 f (x
) ) 2f (x
1
However, the imaginary initial value f(x
)
i
@ Dx
) ) 2f(x
) ) AAA ) 2f(x
2
3
n 1
f(x
)
i
f(x
)
i+1
x
x
i
i+1
) ) 2f (x
) ) AAA ) 2f (x
2
3
) always takes a value of 0.
0
Appendix F: Miscellaneous
) ) f(x
)}
n
x
n
) ) f (x
)
n
n 1
F-3
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