Without explicit details its hard to help, the low pass filter (anti aliasing) needs to be determined. what are you even measuring ?
a differential front end can be used to further exterminate noise, averaging as well (this a code thing) what is your accepted noise floor ? 500uV, 1mV, 10mv ? AM335x has a SAR ADC at +/-2 LSB, so dont expect to much out of it.
but then again, we dont know what your parameters / requirements are.
So I don't think the requirements are tight enough to require an in-depth analysis (besides this, I'm not sure I'm competent enough to perform such an analysis). But, let me give what details I can.
We are measuring tensile force from this
25 lb S-beam load cell. This load cell is being provided with +5V/GND. The resistors are nominally 350 ohm. We found that the differential voltage changes by about 0.5 mV/lb (this was found using an amplifier, so I'm fairly certain of its precision within +/-0.05 mV). Next, we have an instrumentation amplifier with a gain of 160 (The
AD829). This amplifier has some built-in low-pass filtering. The output of this amp would go through the voltage protection, followed by the ADC, which I think is going to remain the Beaglebone ADC.
I know it's pretty vague, but the nature of the measurements being made does not require ultra-high precision, so it's something we're going to get as good as we can without spending a huge sum of money or time. Assuming the system has less noise than the ADC, I get a rough figure of the precision this should give us as follows:
The force sensor has a sensitivity of 0.0005 [V/lb].
0.0005 [V/lb] * 160 = 0.08 [V/lb] (at the instrumentation amp output)
The ADC is running from a 1.8 V reference, and can be assumed accurate within +/- 2 LSB. The minimum dV we can expect to be accurately read from the ADC is:
2/4095*1.8 = 0.000879 [V/2 div]
The system force/ADC division is thus
(0.000879 [V/2 div]) / (0.08 [V/lb]) ~= 0.011 [lb/2 div] = 0.176 [oz/2 div] = 0.049 [Newton/2 div].
There is of course going to be some noise from the environment/instrumentation amplifier and some nonlinearities, but are those going to affect the precision we can expect from the system? Are there other factors that I didn't account for? I think I need to wrap this design up today. These numbers also make me feel pretty comfortable, even if they are a factor of 2 or 3 off because we really don't need that much precision. Accuracy/drift is something I'd be more concerned about, but I've done enough tests to be confident that won't be a problem unless I bodge up the voltage protection or use resistor values that are far too low.
Edit: I forgot to mention that we only need to measure up to 15 lb. The ADC should max out at 20-22 lb so as long as we have proper voltage protection for the ADC, the measurement range is fine.
Edit2: I butchered some of the unit notation. It should be better now.