07-15-2009 04:35 PM
I have a PCI-6255 board that I'm planning to use for some sensitive measurements. I'm trying to put together an end-to-end error budget and I have a couple questions.
My model is in terms of analog-to-digital converter counts (also known as LSB in your data sheet).
In the Absolute Accuracy table on page 5 of the NI 615x Specifications I see a column labeled Random Noise, (uVrms). I think I understand the residual gain error, residual offset error, and associated Tempco, and the INL error but the Random Noise is puzzling me.
Here is why: on the +/- .2V range, the random noise is 16 uV. On this range, the ADC resolution is 6.1 uV so the random noise is about 2.6LSB If I look at the +/-5V range I see a random noise of 140uV. On this range, the ADC resolution is 305uV so the random noise is well under one LSB.
Therefore, in my error budget I can use "1 LSB" for the random noise when on the 5V range but I have to use "2.6" or "3" LSB when on the .2V range.
I expect a signal of aproximately 150mV riding on a 2.5V DC level. I was concerned I might need to offset the signal (remove the 2.5V dc) in order to use the +/-.2 volt range to get better resolution. I also thought I would get better noise performance too. In looking at the numbers here though it looks like I would be better off using the +/-5V range (assuming it gives good enough resolution) because the readings have less noise counts (even though it is more noise volts).
I can account for the Gain Error and Offset Error by injecting known signals and doing a "software correction". Not sure, but I believe I can also correct for the INL if I use a polynomial fit of 2nd or 3rd order. It's the random noise I'm having problems understanding.
Here's the question: what is the Random Noise shown in the AI Accuracy table for the 625x boards? Can you give an example of how NI might have measured it?
Secondly, note 2 says "Sensitivity is the smallest voltage change that canbe detected. It is a fucntion of noise." Was this measured with a signal-to-noise ratio of "1" or "2" or some other standard, or is this a calculated value?
Thanks MG |
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07-16-2009 08:05 PM
The Gaussian Distribution Function is often used to describe noise. The Random Noise spec'd in the accuracy table is one standard deviation of the noise probabilty distribution and was likely calculated using statistical analysis. That is why the Noise Uncertainty takes into consideration a coverage factor of 3 which accounts for most of the distribution.
In regards, to the Sensitivity spec, this requires a far more detailed explanation, but essentially this is an industry standard specification that takes into account further statistical analysis done on a signal when attributed with noise. I believe dithering is a compoenent of this measurement.