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3.3 Ramp linearization (PHT-P, PHT-C)

synopsis:  (1) statistical uncertainty increase due to reset level variations within a staring measurement at a constant flux level. The statistical uncertainty is probably small: less than 2% unless the measurement is very long. (2) residual systematic photometric uncertainty for multi-filter and multi-aperture staring observations especially with detectors P3, C100 and C200. The residual systematic uncertainty after correction is estimated to be at most 10%. (3) residual systematic photometric uncertainty for measurements in which the signals cover a high dynamic range such as in maps with bright features and in chopped observations. The estimated systematic uncertainty is at most 10%. (4) systematic photometric uncertainty in PHT-S observations. Since the integration ramps for PHT-S observations are not linearized the residual systematic error is probably better than 20%.

limitations and applicability:
(1) no correction applied for PHT-S (2) strong signals with low bias detectors are not properly corrected.

description:
Removal of systematic non-linearities (``kinks'') in integration ramps by adding to each read-out voltage a positive or negative voltage in order to obtain a linear or ``straight'' integration ramp. It is assumed that the deviation from non-linearity only depends on the read-out voltage level. This correction is applied to all detectors except PHT-S.

purpose correction:
The integration ramps are not straight but show systematic kinks and curvatures. The non-linearities cause systematically different slopes (signal level) for different parts of the ramp making the ramp signal an ill-defined parameter and a sensitive function of the voltage range covered by a ramp. The correction is based on the assumption that the deviation from linearity only depends on the CRE voltage level of a read-out. Consequently, a ``straight'' ramp is derived by adding a voltage correction to each read-out. The corrections were obtained from an empirical integration ramp constructed from averaging many representative integration ramps. The deviations of this average ramp from a generic straight ramp yield the correction terms (${\Delta}V$) as a function of read-out voltage. For the low bias-detectors (P3, C100 and C200) the non-linearity is not only a function of CRE voltage, but also a function of the detector photo-current. The charge accumulated on the integration ramp feeds back and reduces the bias voltage ("debiasing"). This effect depends on the voltage difference due to the charges above the reset voltage level. The stronger the photo-current, the bigger the downward curvature of the integration ramps. No specific correction is made for this effect. It should be noted that also all calibration observations were linearized with the same correction tables.

uncertainty/noise introduced:
In case the reset level changes within a measurement, the uncertainties in ${\Delta}V$ widens the signal distribution. Since the reset level changes only slowly in time for measurements of the same signal strength the contribution to the statistical uncertainty is small, less than a few percent is estimated. However, the reset level changes when the signal level varies. This can happen in obsevations using multi-filter, multi-aperture, chopped or mapping modes.

For PHT-S which is not corrected at all, and for P3, C100 and C200 which are low bias detectors, the ramp non-linearity is not removed completely. Since different signal strengths require different corrections, the residual error may cause systematic uncertainties depending on the signal strength.

auxillary data:
Cal-G files: PPCRELIN, PC1CRELIN, and PC2CRELIN. These files also contain the statistical uncertainties of the corrections.

keyword(s):
none


next up previous contents
Next: 3.4 Ramp deglitching Up: 3. Derive SPD level Previous: 3.2 Discarding saturated read-outs
ISOPHOT Error Budgets: Derive_SPD Processing Steps, Version 1.0, SAI/98-091/Dc