I pasted the report below but unfortunately none of the charts (Matlab figures) got copied (only their names). I would be more than happy to e-mail the report (a word docx) to anyone interested.
In a nutshell, I have measured the noise power density spectrum of ~ 60 devices. Data sets are obtained using a 1Khz sampling rate (noise density out to 500Hz), ~ 500K samples (500 seconds, noise density down to 0.002Hz), 32-channel 16bit A/D converter rated at 1/2LSB full bandwidth (250Khz) noise floor (NI_USB-6218 device) and Matlab to generate digital 69th order FIR equiripple low pass filter with 10Hz stop band and all statistical and Fourier analysis.
On the good nodes, everything matches up extremely well with the spec sheet - 1.5nv/rtHz 10 hz to 500 hz, 17nTrms 0.002Hz to 10Hz.
On the problem nodes, post filter, is see the 17nTrms noise distribution centered around 2 different "DC" fields with the two distributions about 120nT apart. Temporally there is a "shearing" step function between the two "static" field measurements. Since I am sampling 30 devices in parallel and only a small percentage of the nodes exhibit the shear and of those at different points in time, I am quite confident it is not an environmentally induced effect.
Any idea as to why these "problem" devices exhibit this shearing / bi-modal nature?
Note it is intermittent. Some devices I see shearing almost anytime I look at them, some only some of the time, some (what I call the good ones) have not exhibited it throughout all my observations to date (doesn't mean they wont some day I guess).
Again, without the charts the report below is hard to read (picture is worth a thousand words) but I will be happy to e-mail the word doc with pictures to anyone interested in helping me identify (and hopefully fix) this issue.
Experiment 1 – Investigate noise source(s) in HF-system.
Set-up:
- 10 HF Nodes x 3-axis per node = 30 axis’s (A/D channels, flux gate sensors).
- A/D at +/- 5V Full Scale, Differential Input Mode with 16 Bit resolution, 1KHz sample rate.
- 158uV LSB
- Software Low Pass Filter
- Fpass = 1Hz (Target Transfer function within 1db of DC gain up to Fpass)
- Fstop = 10Hz (Target above this frequency attenuated by 100db or more)
- Flux Gate Rshunt = 100 ohm
- 4(v/v) * 12.2 (A/Tesla) * 100(ohm) * 17e-9 (Tesla rms) = 83uV rms ~ ½ LSB
- Component spec. 17nTesla rms, 0.1Hz to 10 HZ pink noise integrated over band
- Component spec. 1.5nT / root(Hz) above 10 Hz white noise
- 32 Channels in DAQ, 28 attached to respective Flux Gate axis, remaining 4 attached as follows:
- Channel 16 always shorted at screw terminals via 0 ohm jumper
- Channel 32 always ~ 5ft long 2 conductor cable, unshielded, floating (open at far end)
- Channel 18 and 21 grounded via 1K ohm resistor under two conditions
- Condition 1 – 1K resistor at screw terminals of DAQ, cable back to axis disconnected from DAQ
- Condition 2 – Cable reconnected to DAQ (~5ft long), disconnected from axis, 1K resistor across analog differential lines in connector (i.e. far end of the cable). Cable shield grounded to DAQ A-gnd at DAQ end of cable, floating at node end of cable.
Objectives:
- Measure Low Pass Filtered A/D noise floor (condition 1, channels 16 18, 21)
- Measure Cable induced / environmental noise floor (condition 2, channels 18, 21)
- Measure Flux Gate Low Pass Filtered noise floor and compare against specified 17nT rms
- Investigate nature of noise floor of any Flux gates that don’t meet spec.
Procedure:
- For each condition, take 5 successive 50 second scans (250 seconds of total data, 250K samples / channel).
- Filter data and analyze results as appropriate.
Data: Condition 1
Charts below show measured standard deviation (50,000 samples / channel / chart) for each of 5 runs under cond-1. Blue series = filtered data.
Cond-1-scan1 Cond-1-scan2
Cond-1-scan3 Cond-1-scan4
Cond-1-scan5
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Most axis channels @ ~ 0.5 LSBs, ~ 17nTrms, at spec. Ch’s 16, 18, 21 ~ 0.05 counts << axis channels indicates A/D internal noise floor sufficient Axis’s 6, 22, 26 consistently a little high - out of spec Axis 28 – intermittently high - out of spec (1 of 5 scans) |
Data: Condition 2
Charts below show measured standard deviation (50,000 samples / channel / chart) for each of 5 runs under cond-2 (5ft cable on 1K ohm channels). Blue series = filtered data.
Cond-2-scan1 Cond-2-scan2
Cond-2-scan3 Cond-2-scan4
Cond-2-scan5
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Most axis channels remain @ ~ 0.5 LSBs, ~ 17nTrms, at spec. Ch’s 16, 18, 21 remain @ ~ 0.05 counts << axis. Implies cabling not picking up any significant noise from local environment.
Axis’s 6, 22, 26 consistently a little high again Axis 28 – intermittently high again. Axis 3 – intermittently high as well. |
Additional Analysis:
Below shows standard deviations obtained when combining the 5 scans of each condition into a pair of data sets (250K samples, 250 seconds / condition x 2 conditons).
Problem axis’s 6, 22, 26 and 28 (4 total)
Intermittent axis’s 3, 11, 31 (3 total) statistically significant difference between conditions
All other channels (23 axis’s total) at spec ~ 0.5 LSBs ~ 17n Tesla RMS 0.1Hz to 10Hz
Cabling add’s no signaficant noise to signal levels of A/D control channels (driven by 1K ohm)
Post filtered A/D internal noise floor (with or without external 5ft cabling) ~ 10x lower than sensors at specified operating point.
Additional Analysis:
Combine all 10 scans into a single data set (500K samples x 32 Channels) and look at distrubition of events.
Control Axis 18, Std = 0.06 LSBs ~ 1.8nT rms centered about 0 LSBs
Typical Axis 8, Std = 0.50 LSBs ~ 17nT rms, centered about 0 LSBs (note X bins below 10x above)
Problem Axis 22, Std = 1.36 LSBs ~ 23nT, bi-modal distribution, 17nTstd at each peak but two peaks, results in overall 23nT rms
Note Bi-modal distribution, peaks ~ 3 LSBs (~102nT) apart.
Distribution around either peak is correct noise width, problem is two peaks ????
Below is the time series (over 500 seconds) of a control channel (terminated with 1K ohm, channel 18) and a Typical axis channel (channel 8), i.e. one that is within spec all 10 scans.
And below problem channel 6 (all 500 seconds and a time zoom) illustrating bi-modal issue
Experiment 2 – Modify Gain (Rshunt) by a factor of 5x (100 ohm to 500 ohm) on typical channel 8 and problem channel 22 and examine impact.
Setup – Identical to Experiment 1 condition 2 except for gain modifications to channels 8 and 22
Objective – see if both random noise and bi-model characteristic are effected proportionately with gain change.
Procedure – Run 5 scans of 50 seconds each condition 2 with new gain on 2 channels (8 and 22)
Data:
Exp2-scan1 Exp2-scan2
Exp2-scan3 Exp2-scan4
Exp2-scan5
From Experiment 1
Problem axis’s 6, 22, 26 and 28 (4 total)
Intermittent axis’s 3, 11, 31 (3 total) statistically significant difference between conditions
All other channels (23 axis’s total) at spec ~ 0.5 counts ~ 17n Tesla RMS 0.1Hz to 10Hz
From Experiment 2
Add axis 4 to intermittent axis list (4 total now)
Channel 8 (typ) and 22 (problem) show elevated noise as compared to Exp 1 as expected.
Combine data from 5 scans into single 250K sample, 250 second data set and get stats
Channel 8 and 22 show elevated noise from experiment 1 but not at expected 5x.
- Channel 8 Exp. 1 0.50 counts Exp. 2 1.56 counts 3.6x < 5.0x
- Channel 22 Exp. 1 1.35 counts Exp. 2 4.86 counts 3.1x < 5.0x
Look at distribution of channels 8 and 22 over 250K samples
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Still Bi-modal Standard deviation Exp1 1.35 LSBs Exp2 4.86 LSBs Gain impact < 5x (some of the random noise is due to the 4x diff-amp + cabling + a/d, all unaffected by Rshunt change so less than 5x is not a surprise) Bimodal step separation Exp1 ~ 3 LSBs Exp2 ~ 15 LSBs Gain impact ~ 5x Indicates all the bi-modal anomaly is in the flux gate sensor |
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Still non-bimodal Standard deviation Exp1 0.5 LSBs Exp2 4.86 LSBs Gain impact > 5x again, some noise is due to diff-amp etc. so not a surprise
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Conclusion – Bi-modal nature of “problem channels” associated with Flux Gate portion of chip.
250 second Time series of channel 22 (Gain modified problem channel) also illustrating the bi-modal step size increased by ~ 5x from experiment 1 (original 100 ohm Rshunt). Again, supporting the conclusion that the bi-modal step issue is effected by the gain (i.e. within the flux gate sensor).
250 second Time series of channel 8 (Gain modified typical channel) shows no bi-modal nature but ~ 3x increase in “random” voltage noise consistent with increased sensor gain (100 to 500 ohms on Rshunt).