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LM9040 Datasheet(PDF) 5 Page - National Semiconductor (TI)

[Old version datasheet] Texas Instruments acquired National semiconductor.
Part # LM9040
Description  Dual Lambda Sensor Interface Amplifier
PDF  10 Pages
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Manufacturer  NSC [National Semiconductor (TI)]
Direct Link  http://www.national.com
Logo NSC - National Semiconductor (TI)

LM9040 Datasheet(HTML) 5 Page - National Semiconductor (TI)

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Differential Input Circuit (Continued)
The differential input impedance is a function of the value of
the input capacitor array and the sampling frequency The
capacitor CBIAS is used to generate a bias voltage across
the Differential Input impedance (ZDIFF) This bias voltage is
similar to the Lambda Sensor output voltage at the stoichio-
metric air-fuel mixture (l e 1) The bias voltage is set by the
ratio of CIN and CBIAS and the value of VCC
The resulting bias voltage across the Differential Input is
defined as
VBIAS e
VCC  CBIAS
(CIN a CBIAS)
With CBIAS e 07286 pF CIN e 7421 pF FCLOCK e
100 kHz and VCC e 5V
VBIAS e
5
 7286E-13
(74213E-12 a 7286E-13)
VBIAS e 447 mV
In effect the result is the same as forcing a bias current
through the Differential Input impedance
The bias current is defined as
IBIAS e VCC  CBIAS  FCLOCK
IBIAS e 3643 nA
The Differential Input impedance is defined as
ZDIFF e
1
(CIN a CBIAS)  FCLOCK
ZDIFF e 1227 MX
This bias voltage will be developed across the Differential
Input impedance (ZDIFF) if there is no other path available
from the non-inverting input pin for IBIAS and the inverting
input has a current path to ground See
Figure 5 During
normal operating conditions IBIAS will have a negligible ef-
fect on accuracy
TLH12372 – 15
FIGURE 5 Equivalent Input Bias Circuit
Differential Input Filtering
Since each input is sampled independently an anti-aliasing
filter is required at the amplifier inputs to ensure that the
input signal does not exceed the Nyquist frequency
This external low-pass filter is implemented by adding a ca-
pacitor (CDIFF) across the differential input See Figure 6
This forms an RC network across the differential inputs in
conjunction with the required external 4 kX resistors and
the differential input impedance (ZDIFF) The capacitor se-
lected should be small enough to have minimal effect on
gain accuracy in the application yet large enough to filter
out unwanted noise Given that the FC of the LM9040 is
typically 500 Hz the use of a 001 mF capacitor will general-
ly provide adequate filtering with less than b04 dB of input
attenuation at 500 Hz and approximately b28 dB at 50 kHz
A larger value capacitor can be used if needed but a value
larger than typically 002 mF will begin to dominate the cut-
off frequency of the application This capacitor must be a
low leakage and low ESR type so that circuit performance is
not degraded
TLH12372 – 16
FIGURE 6 Differential and Common Mode Filtering
Common Mode Filtering
The differential input sampling of the LM9040 actually re-
duces the effects of common mode input noise at low fre-
quencies The time interval between the sampling of the
inverting input and the non-inverting input is one half of a
clock period A change in the common mode voltage during
this short time interval can cause an error in the charge
stored on CIN This will result in an error seen on the output
voltage For a sine-wave common mode voltage the mini-
mum common mode rejection is
CMRR e 2
 q  FCMR  (05FCLOCK)  453
Where FCMR is the frequency of the common mode signal
and FCLOCK is the clock frequency
5



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