User Manual

2.4 Waveform Processing Calculation Operators and Results
36
First integral (INT)
Second integral (INT2)
First and second integrals are calculated using the trapezoidal rule.
d
1
to d
n
are the integrals calculated for sample times t
1
to t
n
.
Calculation formulas for the first integral
Point t
1
I
1
= 0
Point t
2
I
2
= (d
1
+ d
2
)h/2
Point t
3
I
3
= (d
1
+ d
2
)h/2 + (d
2
+ d
3
)h/2 = I
2
+ (d
2
+ d
3
)h/2
↓
Point t
n
I
n
= I
n-1
+ (d
n-1
+ d
n
)h/2
I
1
to I
n
: calculation results
h =
Δt: Sampling Period
Calculation formulas for the second integral
Point t
1
II
1
= 0
Point t
2
II
2
= (I
1
+ I
2
)h/2
Point t
3
II
3
= (I
1
+ I
2
)h/2 + (I
2
+ I
3
)h/2 = II
2
+ (I
2
+ I
3
)h/2
↓
Point t
n
II
n
= II
n-1
+ (I
n-1
+ I
n
)h/2
II
1
to II
n
: calculation results
b
i
: ith member of calculation result data, d
i
: ith member of source channel data
Waveform Calculation Type Description