# Temperature effects

Undeniably there is an effect. A large one, but not something to be worried about. It has been said that all electronic devices are first and foremost temperature sensors. A sizeable proportion of the camera sensor noise generated within the Photonic Instrument is due to Johnson–Nyquist noise, which is highly temperature dependant. And some of our entropy comes from that noise.

You can see from the above chart that a 7°C temperature rise causes the mean JPEG file size to shift upwards by $\approx 6 \sigma$ relative to the cooler measurements. And thus the entropy content of a single frame increases. This also has complicating implications for health checking of the instrument. The effect is surprisingly easy to mitigate though. You just have to know the signum of the temperature coefficient. We know that entropy changes relative to temperature changes are as $\frac{dH}{dT} = \alpha H$, where $\alpha$ is the temperature coefficient. We don’t need to determine $\alpha$ at all. We just need to know whether it’s positive or negative which we can find from the literature or empirically. And then:-

If $\alpha > 1$, determine $H_{\infty}$ at the coolest likely temperature. Appropriate for camera sensors.

If $\alpha < 1$, determine $H_{\infty}$ at the warmest likely temperature. Appropriate for Zener diodes.

Voilà. This technique (whilst time/calendar intensive) avoids any direct temperature control of the entropy source. As the ambient temperature changes, min. entropy has always been measured at the most conservative point on the thermometer. Entropy can only increase from the baseline measurements. We’re excluding direct attacks on the instrument with liquid nitrogen as we’ll see the dudes in the room with the large steaming flask.