App-11
IM 701510-01E
Appendix
App
Appendix 4 How to Calculate the Area of a Waveform
“Integ1TY”
Total area for positive side only: S
1
+S
2
S
1
S
2
“Integ2TY”
Total area for both positive and negative sides: S
1
+S
3
–S
2
S
1
S
3
S
2
“Integ1XY”
(1) Multiplc loops
S
0
Start point,
Stop point
Area S= n×S
0
n: Number of loops
(2) Non-closed curve
S
0
Start point
Area S= S
0
Area enclosed by
a curve connecting
the start and stop
points
Stop point
(3) Loop tracing the shape of "8"
Area S= | S
0
– S
1
|
(4) Spiral loop
Area S= S
0
×2+S
1
Number of overlaps
varies according to
the number of loops.
Stop point
S
0
S
1
Start point
Stop point
Start
point
S
0
Waveform
S
1
“Integ2XY”
(1) When only one Y data corresponds to X data
13
Start point
Stop point
S0
Area S=S0
X axis (Y=0)
X axis (Y=0)
Area S= –S
0
Stop point
Start point
S0
24
Stop point
Start point
S0
Area S=S0–S1
X axis (Y=0)
X axis (Y=0)
Area S=S
0
Start point
Stop point
S0
(2) When the waveform extends into the negative side
X axis (Y=0)
S0
S1
Start point
Stop point
(2) When two or more Y data correspond to X data
X axis (Y=0)
S0
Start point
Stop point
Area S=S0
X axis (Y=0)
S0
Stop
point
Start point
Area S=S0+2×S1+S2
S1
S2
Area S= –S0