Tektronix AWG2021 User Manual page 552

Integration
AWG2021 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
f (x)dx [
i–1
2
i+1
+ D x
) ) 2f (x ) ) 2f (x
{f (x
1 2
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
nx
x x
i i-1
Figure F 5: 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
)
@ Dx
i
) ) AAA ) 2f (x ) ) f (x
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
)}
n
x
n
) ) f (x
)}
n–1 n
F 5