[EDIT] INA118 should read INA188. Datasheet values are those of the 188 but the pricing was for the INA118. the 188 is < $2.
I can't help with the source of the spike but TIDUBV4A seems to be a way to demonstrate the design calculations use of an INA118 rather than a good design. It also seems to have a few errors.
Firstly, why are they using an instrumentation amp given the Rogowski coil [EDIT]
has a single ended output can be grounded to produce a single-ended output? Presumably because the purpose of the design idea is to showcase the INA118? In-amps are expensive ($7 for the INA118 @ 1K) and have some performance disadvantages compared to single ended opamps. In the case of the INA118 it is quite noisy at 12.5nV/rt(Hz). Its maximum gain drift @ gains > 1 is 50ppm/C which is pretty poor. It doesn't include the gain setting resistors' tempco (25ppm in this design), which they have overlooked in their error analysis, taking overall gain drift to 75ppm/C.
A pair of 10ppm resistors costs less than $0.30 coupled with a $0.22 TLV6741 should outperform the INA118 solution.
More importantly, by referencing the low impedance Rogowski coil to ground only via 100K input biasing resistors will make this design very vulnerable to picking up common mode noise which could easily exceed the supply rails of the amp. The document bizarrely assumes a common mode voltage of 0.005328V for the error analysis. I wonder where that number came from and why so precise? I guess it was measured in their test setup but is a very odd number to use for the error analysis. It doesn't matter much given the CM error contribution is insignificant.
Perhaps a more interesting question is why bother with an amplifier at all? The ADS131 ADC they suggest has approx 760nVrms input noise with a 12X PGA setting and 4V reference which is less than the 2.9uV noise (273ppm) shown in Table 5. However, that number makes no sense to me given INA118 12.5nV/rt(Hz) noise (RTI) and 1500Hz bandwidth (plus a small but negligable contribution from output noise) which amounts to 484nV. The calculation shown multiplies this by 6 for some reason unknown to me. The same formula appears in the INA118 datasheet on page 26. Surely this is wrong?
As to errors, the document specifies 100x gain but the schematic and BOM show 500x (Rg = 100 ohms). Not really a problem but confusing.
In the error analysis they show .8ppm gain linearity error which should probably be 8ppm. Again no big deal. Most importantly though they state:
From Table 3 through Table 6, the worst case resolution error for the INA188 at a bandwidth of 1.5 kHz is 2.92μV, which is less than expected value.
That overlooks the gain drift with temperature which they calculated at 3000ppm (32uV) but didn't include for some reason. It is actually 4500ppm if you include the gain setting resistors 25ppm TC.
I've probably got some or all of the above wrong so would appreciate some feedback.