High Precision Linear Hall-Effect Sensor IC
With an Open Drain Pulse Width Modulated Output
A1356
10
Allegro MicroSystems, LLC
115 Northeast Cutoff
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com
For purposes of specification, the Sensitivity Drift Due to Pack-
age Hysteresis, Sens
PKG
, is defined as:
Sens
(25癈)2
Sens
(25癈)1
Sens
(25癈)1
Sens
PKG
=
?SPAN class="pst A1356LKB-T_2172166_2">
100%
,
(9)
where Sens
(25癈)1
is the programmed value of sensitivity at T
A
=
25癈, and Sens
(25癈)2
is the value of sensitivity at T
A
= 25癈,
after temperature cycling T
A
up to 150癈, down to 40癈, and
back to up 25癈.
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.
Linearity Error is calculated separately for the positive
(Lin
ERRPOS
) and negative (Lin
ERRNEG
) applied magnetic fields.
Linearity error (%) is measured and defined as:
Sens
BPOS2
Sens
BPOS1
Sens
BNEG2
Sens
BNEG1
1
Lin
ERRPOS
=
?SPAN class="pst A1356LKB-T_2172166_2">
100%
,
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
1
Lin
ERRNEG
=
?SPAN class="pst A1356LKB-T_2172166_2">
100%
,
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
(10)
where:
|D
(Bx)
D
(Q)
|
B
x
Sens
Bx
=
.
(11)
and B
POSx
and B
NEGx
are positive and negative magnetic fields,
with respect to the quiescent duty cycle output such that B
POS2
=
2 ?B
POS1
and B
NEG2
= 2 ?B
NEG1
.
Then:
Lin
ERR
max( Lin
ERRPOS
, Lin
ERRNEG
)
=
.
(12)
Note that unipolar devices only have positive linearity error
(LIN
ERRPOS
).
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,
Sym
ERR
(%), is measured and defined as:
Sens
BPOS
Sens
BNEG
1
Sym
ERR
=
?SPAN class="pst A1356LKB-T_2172166_2">
100% ,
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
(13)
where Sens
Bx
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.
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:
D
B
(max) D
B
(min)
2
J
DC
= ?/DIV>
,
(14)
where D
B
(max) and D
B
(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. J
D
is given in % D.
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