Re: Attila Kinali Multi-slope ADC performance questions

>For a project I am doing, I need a high resolution, high linearity ADC.
>As it does not need to be fast, I choose to build a multi-slope ADC
>à la <insert your favorite DMM>. The basic circuit I came up with is attached.
>
>The LTC2380-24 is good for about 1µV at a +/-5V range (including noise
>and INL). The two LT6018 infront of it give it a gain of 8.8 and the
>integrator has a gain of 50 per ms of integration time. Input range is +/-10V.
>
>Unless I am missing something, the noise of the whole system is dominated
>by the input noise of the integrator, namely the 20k resistor that gives
>a noise voltage density of ~18nV/√Hz, plus the 250nVpp low frequency
>noise of the ADA4077
>
>Assuming we use a 100ms integration time, we get an input related
>resolution of 22pV. The input resistor noise over a bandwidth of 10Hz
>is 57nVrms. The low frequency noise of the AD4077 is 250nVpp/3=83nVrms.
>So the total noise ends up being 100nVrms or 300nVpp. Which is
>about 7.8 digits or 25.9bits ENOB.
>
>If we go to 1s integration time, the noise changes to 18nVrms and 177Vpp,
respectively. Added together this becomes 62nVrms or 185nVpp. Which in turn
>is 8 digits or 26.7bits ENOB.
>
>Now to the questions :-)
>
>1) Is my assumption correct, that the integrator dominates the noise
>in this system?

The fig 62 of the AD4077 data sheet shows the the noise corner is below 1.5Hz!
The voltage noise is 7nV/Hz^0.5 and the current voltage noise is 4nV/Hz^0.5
which adds to 8nV/Hz^0.5. The noise bandwidth of a HP3458 166ms measurement
is 6Hz. The AD4077 input noise is 8nV * 6^0.5 = 19.6nVrms
De the auto drift cancellation mode the HP3458 alternates input- and drift
zero measurements. The auto drift cancellation mode bandwidth adds 6/2 = 3 Hz
(average one measurement before and one measurement after the measurement)
With drift cancellation the noise bandwidth is 6 + 3 = 9Hz.
This results in 8nv * 9^0.5 = 24nVrms integrator noise.
The 6Hz bandwidth 20K resistor noise is 18nv/Hz^0.5 * 6^0.5 = 44nVrms
Which add up to 50nVrms total noise.

>2) If I look at the documentation of the HP3458, they reach 28bits at
>166ms integration time. Yet the HP Journal article talks about 100nV/√Hz
>input noise. Ie the noise of the HP3458 is over a factor 5 higher, yet the
>ENOB @100ms is 2 bits better. It barely matches up, when I ignore the
>low frequency noise, but the factor of 5 in noise (or 2.3 bits) difference
>remains. Where does this discrepancy come from?
>
>                                     Attila Kinali

They using 1 bit for the measurement sign and specify the noise floor in rms
which results in (log 1.2 10^8) / log 2 = 26.84 + 1 (sign bit) = 27.84 bits

Henk Peek,   henkp at nikhef.nl



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