Hioki Memory HiCorder MR6000, Instruction Manual, Page: 210 / 392

204
Operators of the Waveform Calculation and Calculation Results
b
i
:
i
th-point data in calculation results,
d
i
:
i
th-point data acquired across the source channel
Waveform calculation
type
Description
1st-order integration
(INT)
2nd-order integration
(INT2)
To calculate values of 1st-order and 2nd-order integration, the instrument uses the
trapezoidal formula.
The instrument integrates data
d
1
to
d
n
considering them as the corresponding data for
the sampling time t
1
to t
n
.
Arithmetic expressions of 1st-order integration
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 result data
h
= Δ
t
: Sampling period
Arithmetic expressions of 1st-order integration
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 result data
Note Integration is susceptible to minor deviation of the zero-position. Be sure to
execute zero-adjustment before performing measurement. In addition, zero-
point offset correction may be required.
Example: To adjust the zero point by 0.124 mV
Z1 = INT (CH(1,1)-0.000124)
Average value (PAVE)
Calculates an average value of waveform data to use this numerical calculation result
for waveform calculations.
AVE n d
i
i
n
=
=
∑ 1
1
AVE
: Average
n
: Number of data points
d
i
:
i
th-point data acquired across a channel
Maximum value
(PMAX)
Calculates the maximum value of waveform
data to use this numerical calculation result for
waveform calculations.
Maximum
value
Minimum value (PMIN)
Calculates the minimum value of waveform
data to use this numerical calculation result for
waveform calculations.
Minimum
value
Level at time
(PLEVEL)
Calculates a measured value at the time a
specified time has elapsed from a trigger point
to use this numerical calculation result for
waveform calculations.
0 V
Level
Simple average
(AVESIM)
Calculates a simple average of repeatedly measured waveform data sets.
A
m,i
m d
j,i
j
m
=
=
∑ 1
1
m : Number of repeated measurements
A
m,i
:
i
th-point data in simple average results of the
m
th
measurement among repeated measurements
d
j,i
:
i
th-point data acquired across a channel of the
j
th
measurement among repeated measurements
A simple average expression occupies three expressions (two expressions immediately
following the calculation number the simple average is specified to are not available).
HIOKI MR6000A966-03