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LM9040 Datasheet(PDF) 5 Page - National Semiconductor (TI) |
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LM9040 Datasheet(HTML) 5 Page - National Semiconductor (TI) |
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5 / 10 page ![]() 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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