Does a shared temperature coefficient put a floor under an array of cheap gyros?

What it found

Follow-up to sensing-imuarray. Each gyro has a temperature coefficient c_i = μ + s·e_i; under a temperature ramp the shared mean μ leaves an angle-error floor μrT²/2 that no array size removes. In the illustrative case (100 s) a 3× better unit can be matched at 10–15 units up to 0.1 °C/min but at no size from 0.3 °C/min; a 10× better one at none from 0.1 °C/min. Compensating both grades equally brings the array size back near k² only at about 2% residual tempco. Monte Carlo matches the closed form within 1%. Stylised: assumed tempcos, no real IMU data, no prices claimed.

A figure from its own output

Paper, code and results

• README and method
• Experiments and results
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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.