A1388 and
A1389
Linear Hall-Effect Sensor ICs with Analog Output
Available in a Miniature, Low Profile Surface Mount Package
defined as:
operating magnetic range of the applied field in which the device
provides a linear output. The maximum positive and negative
applied magnetic fields in the operating range can be calculated:
SensTA – SensIDEAL(TA)
∆SensTC
=
100 (%)
×
(5)
SensIDEAL(TA)
VCLPHIGH – VOUT(Q)
Sensitivity Drift Due to Package Hysteresis Package
BMAX(+)
=
=
(10)
Sens
stress and relaxation can cause the device sensitivity at TA = 25°C
to change during and after temperature cycling. This change in
sensitivity follows a hysteresis curve. For purposes of specifica-
VOUT(Q) – VCLPLOW
BMAX(–)
Sens
tion, the Sensitivity Drift Due to Package Hysteresis, ∆SensPKG
,
is defined as:
Symmetry Sensitivity Error The magnetic sensitivity of the
device is constant for any two applied magnetic fields of equal
magnitude and opposite polarities. Symmetry error, SymERR (%),
is measured and defined as:
Sens(25°C)(2) – Sens(25°C)(1)
∆SensPKG
=
(6)
100 (%)
×
Sens(25°C)(1)
where Sens(25°C)(1) is the programmed value of sensitivity
at TA = 25°C, and Sens(25°C)(2) is the value of sensitivity at
TA = 25°C after temperature cycling TA up to 150°C, down to
–40°C, and back to up 25°C.
Sens(B+)
Sens(B–)
1–
SymERR
=
100 (%)
×
(11)
where SensBx is as defined in equation 10, and B+ and B– are
positive and negative magnetic fields such that |B+| = |B–|.
Linearity Sensitivity Error The A1388 and A1389 are
designed to provide linear output in response to a ramping
Ratiometry Error The A1388 and A1389 provide ratiometric
output. This means that the Quiescent Voltage Output, VOUT(Q)
magnetic sensitivity, Sens, and clamp voltages, VCLPHIGH and
VCLPLOW, are proportional to the supply voltage, VCC. In other
words, when the supply voltage increases or decreases by a
applied magnetic field. Consider two magnetic fields, B1 and B2.
Ideally, the sensitivity of a device is the same for both fields, for
a given supply voltage and temperature. Linearity error is present
when there is a difference between the sensitivities measured at
B1 and B2.
,
certain percentage, each characteristic also increases or decreases
by the same percentage. Error is the difference between the
measured change in the supply voltage relative to 5 V, and the
measured change in each characteristic.
Linearity Sensitivity Error, LINERR , is calculated separately for
positive (LinERR+) and negative (LinERR– ) applied magnetic
fields. LINERR (%) is measured and defined as:
Sens
(B+)(2)
1–
LinERR+
=
=
100 (%)
100 (%)
(7) The ratiometric error in quiescent voltage output, RatVOUT(Q)
(%), for a given supply voltage, VCC, is defined as:
×
×
Sens(B+)(1)
Sens(B–)(2)
VOUT(Q)(VCC) / V
OUT(Q)(5V)
1–
LinERR–
1–
RatVOUT(Q)
=
100 (%)
×
(12)
Sens
(B–)(1)
VCC / 5 (V)
where:
The ratiometric error in magnetic sensitivity, RatSens (%), for a
given supply voltage, VCC, is defined as:
|VOUT(Bx)
V
|
–
OUT(Q)
SensBx
=
(8)
Bx
Sens(VCC) / Sens
VCC / 5 (V)
(5V)
1–
RatSens
=
100 (%)
(13)
×
and Bx are positive and negative magnetic fields, with respect to
the quiescent voltage output, such that
The ratiometric error in the clamp voltages, RatVOUTCLP (%), for
a given supply voltage, VCC, is defined as:
|B(+)(2)| > |B(+)(1)| and |B(–)(2)| > |B(–)(1)
The effective linearity error is:
|
VCLP(VCC) / V
CLP(5V)
1–
RatVOUTCLP
=
100 (%)
(14)
×
LinERR max(|Lin
| |LinERR– |)
,
=
ERR+
(9)
VCC / 5 (V)
The output voltage clamps, VCLPHIGH and VCLPLOW, limit the
where VCLP is either VCLPHIGH or VCLPLOW
.
Allegro MicroSystems, LLC
115 Northeast Cutoff
7
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com
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