Analog Devices ADuCM355 Hardware Reference Manual page 162

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UG-1262
where:
V(s) is the signal voltage.
I(s)
is the calibration current.
CAL
Z
(magnitude) is the magnitude of the impedance of the calibration.
CAL
Therefore,
V s
( )
I s
( )
Z
CAL
In Step 2,
V s
( )
I s
( )
RE
RLOAD
Z
RE
RLOAD
02
where:
Z
is the impedance of the sensor and Load Resistor 2.
RE + RLOAD02
I(s)
is the current flowing through the sensor and Load Resistor 2.
RE + RLOAD02
Therefore,
V s
( )
Z
RE
RLOAD
02
I s
( )
RE
RLOAD
In Step 3,
V s
( )
I s
( )
RLOAD
02
Z
RLOAD
02
where:
Z
is the impedance of Load Resistor 2.
RLOAD02
I(s)
is the current flowing through Load Resistor 2.
RLOAD02
Therefore,
V s
( )
Z
RLOAD
02
I s
( )
RLOAD
02
Therefore, based on Step 2 through Step 4,
Z
Z
Z
RE
RE RLOAD
02
RLOAD
I s
( )
Z
CAL
CAL
I s
I s
( )
Z
CAL
CAL
I s
If Z
(magnitude) = 200 Ω and Z
CAL
Z
(
magnitude
)
Z
RE
RE RLOAD
where:
Z
(magnitude) is the magnitude of the impedance of the sensor.
RE
I(s) values can be replaced by DFT results.
Z
(
phase
) Ang
RE
(
Z
RE RLOAD
 
0 Ang
I s
( )
where:
Z
(phase) is the phase part of the impedance measurement of the sensor.
RE
Ang() is the function to calculate phase.
02
02
V s
( )
V s
02
I s
( )
I s
( )
RE RLOAD
02
1
1
I s
( )
I s
( )
RE RLOAD
02
RLOAD
02
( )
I s
( )
RLOAD
02
RE RLOAD
02
( )
I s
( )
RE RLOAD
02
RLOAD
02
(phase) = 0, it is possible to obtain the following equations:
CAL
Z
200
I s
02
RLOAD
02
Z
)
02
RLOAD
02
Ang
I s
( )
I s
( )
CAL
RLOAD
02
RE RLOAD
02
ADuCM355
( )
RLOAD
02
I s
( )
I s
( )
RLOAD
02
RE RLOAD
( )
CAL
I s
( )
I s
( )
RE RLOAD
02
Ang
Ang
I s
( )
I s
( )
RE RLOAD
02
RLOAD
02
Rev. B | Page 162 of 312
Hardware Reference Manual
02
RLOAD
02
(11)
(12)
(13)
(14)
(15)
(16)
(17)
(18)

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