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OP227 датащи(PDF) 12 Page - Analog Devices |
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OP227 датащи(HTML) 12 Page - Analog Devices |
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12 / 16 page ![]() REV. A OP227 –12– The differential gain Ad is 1 + 2R1/R0 and the common-mode input VCM is rejected. While output error due to input offsets and noise are easily determined, the effects of finite gain and common-mode rejec- tion are more subtle. CMR of the complete instrumentation amplifier is directly proportioned to the match in CMR of the input op amps. This match varies from 97 dB to 110 dB mini- mum for the OP227. Using 100 dB, then the output response to a common-mode input VCM would be: VA V O CM dCM [] =¥10 5– CMRR of the instrumentation amplifier, which is defined as 20 log10Ad/ACM, is simply equal to the CMRR of the OP227. While this CMRR is already high, overall CMRR of the complete amplifier can be raised by trimming the output stage resistor network. Finite gain of the input op amps causes a scale factor error and a small degradation in CMR. Designating the open-loop gain of op amp A1 as AO1, and op amp A2 as AO2, then the following equation approximates output: V R RA A AV R RA A V O OO dd OO CM 1 1 1 0 11 21 0 11 12 12 ++ Ê Ë Á ˆ ¯ ˜ + Ê Ë Á ˆ ¯ ˜ Ê Ë ÁÁ ˆ ¯ ˜˜ – This can be simplified by defining AO as the nominal open-loop gain and A0 as the differential open-loop gain. Then: V R RA AV R R A A V O O dd O O CM 1 1 1 0 1 21 0 2 + + Ê Ë Á ˆ ¯ ˜ D The high open-loop gain of each amplifier within the OP227 (700,000 minimum at 25 ∞C in RL ≥ 2 kW) assures good gain accuracy even at high values of Ad. The effect of finite open- loop gain on CMR can be approximated by: CMRR A A O O 2 D If AO/AO were 6% and AO were 600,000, then the CMRR due to finite gain of the input op amps would be approximately 140 dB. R1 R1 R2 R2 A3 A1 A2 R2 R0 VCM – 1/2Vd VCM + 1/2Vd V1 V2 1/2 OP227 VO OP27 VO = (1 + 2R1 ) Vd R0 R2 1/2 OP227 Figure 4. Three Op Amp Instrumentation Amplifier Using OP227 and OP27 The unity-gain output stage contributes negligible error to the overall amplifier. However, matching of the four resistor R2 network is critical to achieving high CMR. Consider a worst- case situation where each R2 resistor had an error of ± R2. If the resistor ratio is high on one side and low on the other, then the common-mode gain will be 2 R2/2 R2. Since the output stage gain is unity, CMRR will then be R2/2 R2. It is common practice to maximize overall CMRR for the total instrumenta- tion amplifier circuit. |
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