Linearity Error is calculated separately for the positive
(Lin
ERRPOS
) and negative (Lin
ERRNEG
 ) applied magnetic fields.
Linearity error (%) is measured and defined as:
 
=
? ,

Lin
ERRPOS
D
(+B?
 D
(Q)
  
D
(+B)
D
(Q)
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
=
? ,

Lin
ERRNEG
D
(B?
 D
(Q)
  
D
(B)
D
(Q)
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
?/DIV>
 
(10)
where:
 
|D
(Bx)

 D
(Q)
|
B
x
Sens
Bx
=
.
 
(11)
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 an 
A1354 device is constant for any two applied magnetic fields of
equal magnitude and opposite polarities. Symmetry error,
Sym
ERR
(%), is measured and defined as:
 
=
? ,

Sym
ERR
D
(Q)
 D
(B)
  
D
(+B)
D
(Q)
?/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, Jitter
PWM
 (%), and is defined as:
 
D
Bmax
 D
Bmin
2
?/DIV>
Jitter
PWM
=
,
 
(14)
where D
Bmax
 and D
Bmin
 are the maximum and minimum duty
cycles measured the over 1000 PWM clock periods with a con-
stant applied magnetic field.
Resolution The ability to derive the value of the applied mag-
netic field from the device output is affected by jitter. The resolu-
tion of the magnetic field, RES
PWM
 (G), is defined as:
 
Jitter
PWM
Sens
RES
PWM
=
.
 
(15)
High Precision 2-Wire Linear Hall Effect Sensor IC
with Pulse Width Modulated Output
A1354
11
Allegro MicroSystems, Inc.
115 Northeast Cutoff
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com
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