Two causes, one trace. Sensor offset and altered report yield identical reported temperatures. An independent thermometer reveals the discrepancy, while its cause remains unresolved.

Text equivalent

In one case, an offset develops inside a temperature sensor. In the other, the transmitted report is altered by the same amount. The reported temperatures are identical at every sample.

Both reports begin near 40°C. From 6 to 10 seconds, an additional offset increases smoothly from 0°C to 4°C. The independent thermometer continues to follow the true temperature, oscillating between 39.6°C and 40.4°C.

The discrepancy is visible. Its cause remains unresolved.

Calibration evidence or access records would be needed to investigate the cause further. The independent thermometer alone cannot distinguish a sensor fault from an altered report.

Method and evidence

These are calculated traces: 201 samples from t = 0 to 20 seconds at 0.1-second intervals. Both plots use horizontal limits of 0–20 seconds and vertical limits of 38–46°C.

T(t) = 40 + 0.4 sin(2πt/10) °C
s = clamp((t − 6)/4, 0, 1)
d(t) = 4(3s² − 2s³) °C

Case A: sensor offset b(t) = d(t). Case B: report alteration a(t) = d(t). Both reported traces are T(t) + d(t). The independent thermometer reads T(t).

Download calculated data (CSV)