High Precision Linear Hall-Effect Sensor
With an Open Drain Pulse Width Modulated Output
A1356
For purposes of specification, the Sensitivity Drift Due to Pack-
2 × BPOS1 and BNEG2 = 2 × BNEG1.
age Hysteresis, ∆SensPKG, is defined as:
Then:
Sens(25°C)2 – Sens(25°C)1
,
100%
∆SensPKG
=
×
LinERR max(LinERRPOS , LinERRNEG
)
.
=
(9)
(12)
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.
Note that unipolar devices only have positive linearity error
(LINERRPOS).
Symmetry Sensitivity Error The magnetic sensitivity of
A1356 device is constant for any two applied magnetic fields
of equal magnitude and opposite polarities. Symmetry error,
SymERR (%), is measured and defined as:
Linearity Sensitivity Error The A1356 is designed to provide
a linear output in response to a ramping 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 differ-
ence between the sensitivities measured at B1 and B2.
SensBPOS
SensBNEG
1–
SymERR
,
100%
=
×
(13)
where SensBx is as defined in equation 11, and BPOS and BNEG
are positive and negative magnetic fields such that |BPOS| =
|BNEG|. Note that the symmetry error specification is only valid
for bipolar devices.
Linearity Error is calculated separately for the positive
(LinERRPOS) and negative (LinERRNEG ) applied magnetic fields.
Linearity error (%) is measured and defined as:
Sens
BPOS2
1–
LinERRPOS
Jitter The duty cycle of the PWM output may vary slightly over
time despite the presence of a constant applied magnetic field and
a constant carrier frequency for the PWM signal. This phenom-
enon is known as jitter, and is defined as:
,
,
=
=
100%
100%
×
×
SensBPOS1
Sens
BNEG2
1–
LinERRNEG
(10)
(11)
Sens
BNEG1
DB(max) – DB(min)
where:
J
,
DC = ±
(14)
2
|D(Bx)
D
|
–
(Q)
where DB(max) and DB(min) are the maximum and minimum
duty cycles at a constant applied magnetic field, B, measured
over 1000 PWM clock periods with a constant applied magnetic
field. JD is given in % D.
SensBx
.
=
Bx
and BPOSx and BNEGx are positive and negative magnetic fields,
with respect to the quiescent duty cycle output such that BPOS2
=
Allegro MicroSystems, Inc.
115 Northeast Cutoff
10
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com