In some ways, the thermal noise is very similar to shot noise in that we have a signal, which is effectively thermal current, or thermal signal, and associated with that is an element of noise that turns out to be related to the square root of the amount of dark current that we have. What I’d like to do in this video is talk about thermal noise, or thermal signal and the noise associated with that thermal signal. Here Steve Chambers explains what it is, what it means for your images and how we get around it by cooling our cameras. Since this is an effect that arises from the CCD manufacturing process, each hot-pixel location will remain fixed and can therefore be corrected.It’s common to hear us talking about our cooled CCD cameras, but why exactly do we cool them? Following on from our look at read noise and shot noise, the third type of noise associated with CCD cameras is dark current, or thermal signal. These pixels will repeatedly have higher backgrounds than the vast majority of pixels. Those pixels that have a higher-than-average dark current are known as hot pixels. Remember, the dark current specification is an ensemble average of the entire array. Occasionally, an individual pixel may have a different dark current generation rate than the rest of the CCD array. Again, even at a 30-second exposure, dark current noise barely contributes to the total camera system noise. Similarly, for a 30-second exposure we find that the total system noise equals 14.1 electrons. Thus, the dark current noise generated in a 4-second exposure has virtually no effect on the total camera system noise. Using 13 electrons/pixel as the read noise and the dark current noise calculated above (2 e-/p) for a 4-second exposure, the total camera noise is calculated as follows: Again, using the previously mentioned camera as an example, we can easily compare the relative sizes of these noise sources. In the low-light regime, the significant noise sources are read noise and dark current noise. Noise sources in CCD cameras add in quadrature (the square root of the sum of the squares). Since dark current noise follows Poisson statistics, the rms dark current noise is the square root of the dark current or, in this case, 2 e-/p. For a 4-second exposure, a total of 4 electrons/pixel are generated (1.0 e-/p/s x 4 sec). ![]() For instance, a given camera might have a dark current specification of 1.0 e-/p/s. Dark current noise is the statistical variation of this specification. Dark Current NoiseĮach high-performance CCD camera carries a dark current specification. Boron implantation into the epitaxial silicon layer and proper biasing of the various clock phases drive the dark current electrons away from the potential wells that comprise a pixel, thus reducing the number of electrons per pixel per second (e-/p/s) collected due to dark current. The largest contribution to dark current results from the interface between the silicon dioxide and epitaxial silicon layer within the CCD. MPP devices are fabricated and operated in such a way as to significantly reduce thermal charge generation (dark current). ![]() Some CCDs operate in multi-pinned-phase (MPP) mode. Ideally, the dark current noise should be reduced to a point where its contribution is negligible over a typical exposure time. CCDs can be cooled either with thermoelectric coolers (TECs) or liquid nitrogen to reduce this effect. Additionally, this increase in signal also carries a statistical fluctuation known as dark current noise. These electrons are captured by the CCD’s potential wells and counted as signal. Electrons are created over time that are independent of the light falling on the detector. Dark current arises from thermal energy within the silicon lattice comprising the CCD.
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