SBAS444E May 2009 – December 2024 ADS1113 , ADS1114 , ADS1115
PRODUCTION DATA
If vn_res represents the input-referred rms noise from all the resistors, vn_op represents the input-referred rms noise of OPA333, and vn_ADC represents the input-referred rms noise of ADS1115, the total input-referred noise of the entire system, vN, can be approximated by Equation 13.
The ADC noise contribution, vn_ADC, is attenuated by the noninverting gain stage.
If the gain of the noninverting gain stage is high (≥ 5), a good approximation for vn_res2 is given by Equation 14. The noise contribution from resistors R2, R4, R5, and R6 when referred to the input is smaller in comparison to R1 and R3 and can be neglected for approximation purposes.
where:
An approximation for the input impedance, RIN, of the application circuit is given by Equation 15. RIN can be modeled as a resistor in parallel with the shunt resistor, and can contribute to additional gain error.
From Equation 14 and Equation 15, a trade-off exists between vN and RIN. If R3 increases, vn_res increases, and therefore, the total input-referred rms system noise, vN, increases. If R3 decreases, the input impedance, RIN, drops, and causes additional gain error.