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IMAGING PERFORMANCE OF A CCD DETECTOR        271











                                  DR                                              S/N







                                   0        2        4        6        8       10
                                           (4×)     (2×)              (1×)
                                                     Gain (e/ADU)

                       Figure 14-10
                       The effect of gain on dynamic range and signal-to-noise ratio. As gain is increased, the
                       number of electrons/ADU decreases. For example, for a gain factor of 1 , 2 , and 4 , the
                       number of electrons/ADU is typically 8, 4, and 2 electrons/ADU, respectively. By convention,
                       1  gain is usually defined as the saturating number of electrons per pixel divided by the
                       read noise of the camera. For images exposed to give a constant accumulated electrons,
                       increasing the gain causes the dynamic range (number of gray level steps) to increase
                       exponentially. While having a large number of gray levels can be beneficial, notice that as the
                       gain increases, the S/N ratio, the measure of signal clarity, decreases. For images exposed
                       to give a constant number of ADUs, increasing the gain decreases the S/N.



                       where the signal voltage is amplified by multiplication by a constant factor. Gain is usu-
                       ally applied when there are a limited number of photons and it is desirable to utilize a
                       large number of gray levels. The disadvantage of increasing the gain is a corresponding
                       decrease in the accuracy of digitization; at high gain, the noise from inaccurate digitiza-
                       tion can cause images to look grainy. There is a limit to how much gain can be applied,
                       because at very high gain, image quality deteriorates. Nevertheless, by increasing the
                       gain, the exposure time can be reduced, while retaining a large number of gray levels.


                       IMAGING PERFORMANCE OF A CCD DETECTOR

                       Image quality can be described in terms of four quantifiable criteria: resolution of time
                       (sampling rate), resolution of space (ability to capture fine details without seeing pix-
                       els), resolution of light intensity (number of gray-level steps or dynamic range), and
                       signal-to-noise ratio (clarity and visibility of object signals in the image). As we will
                       see, it frequently occurs that not all four criteria can be optimized simultaneously in a
                       single image or image sequence. For example, to obtain a timed sequence of a live flu-
                       orescent specimen, it may be necessary to reduce the total exposure time to avoid photo-
                       bleaching and phototoxicity. This can be accomplished by exposing the specimen less
                       often (loss of temporal resolution), binning the image (loss of spatial resolution), and/or
                       by applying a high gain (reduction in dynamic range and S/N ratio). Alternatively, to
                       maximize dynamic range in a single image requiring a short exposure time, you could
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