As a last noise source, the RTS pixels will be added to the pixel model and simulation tool developed. RTS pixels are characterized by a strange behavior : their (dark) level “jumps” up and down between two (or more) levels. By means of the CDS circuit, these two levels can be converted in even three levels. In this blog, the CDS will be excluded.
By means of the mathematical model 100+ dark images were generated at various exposure times (between 0 s and 65 s). The result of this exercise in dark can be seen in the following four figures :
- Figure 1 contains the average dark signal (left axis), and its fixed-pattern noise component (right axis) as a function of the integration time (horizontal axis). (See previous blogs to learn how the calculation of the fixed-pattern noise is done.)
- Figure 2 shows the dark fixed-pattern noise versus the dark signal, based on the data shown in Figure 1.
- Figure 3 contains the average dark signal (left axis), and its temporal noise component (right axis) as a function of the integration time (horizontal axis). (See previous blogs to learn how the calculation of the fixed-pattern noise is done.)
- Figure 4 shows the dark current temporal noise versus the dark signal, based on the data shown in Figure 3.

Figure 1 : Dark current and its FPN component as a function of the exposure time.
As can be seen in Figure 1, the average dark signal is linear with the integration time, at least for the exposure times that do not saturate the pixel. This indicates that the dark current is responsible for the signal in dark. The linear relation between the dark signal and the exposure time (texp expressed in ms !), shown in Figure 1, holds for the linear part of the curve. Notice that the expression, as well as the curve, shows the presence of a DC offset. The curve of the fixed-pattern noise, shown on the right axis, is not influenced by this DC offset. The slope of the curve representing the FPN as a function of the integration or exposure time is not influenced by the RTS pixels either. This is not surprising because any RTS behavior will be totally independent of the exposure time.
From the two formulas shown, it can be deduced that the FPN component is 1/6.6 or 15.2 % of the dark signal in the linear region and becomes 4.9 % of the full-well level when the pixels are saturated. The latter is representing the pixel non-uniformity in saturation.

Figure 2 : Dark FPN versus dark signal.
The corresponding “PTC” curve is illustrated in Figure 2 : the FPN versus the (dark) signal is shown. From this PTC curve several interesting parameters can be deduced :
- The DSNU can be found to be equal to : 1/100.747 = 0.179 or 17.9 % at 30oC,
- The saturation level : 103.450 = 2818 DN,
- Onset of anti-blooming : 103.320 = 2089 DN,
- The saturation non-uniformity : 102.138 = 137 DN.

Figure 3 : Dark current and its temporal noise component as a function of the exposure time.
Figure 3 shows the dark signal and the temporal noise as function of the exposure time. Not really that much new information can be extracted from these graphs, except the minimum temporal pixel noise being equal to 0.41 DN.

Figure 4 : “PTC” of the sensor.
Figure 4 shows the real Photon Transfer Curve, in which the temporal noise is shown as a function of the signal. The curve shows the part that is directly depending on the dark signal (with a slope of 0.5). The region in the graph showing a collapsing curve indicates the saturation of the pixels.
From the PTC curve the following parameters can be deduced :
- The conversion gain, being equal to 1/100.841 DN/e- = 0.144 DN/e-,
- The onset of anti-blooming = 103.32 DN = 2090 DN,
- The saturation level of the pixels = 103.45 DN = 2818 DN,
Conclusion : the presence of the RTS pixels has no major influence on the PTC curve. All parameters extracted are very similar to a simulation without RTS pixels. To detect the characteristics of the RTS pixels, other tools than the PTC need to be applied.
Next blog will focus on the sensor that has all noise sources (discussed so far) included.
Albert 2010-03-22.


