The aim of this research is to experimentally validate a Gauss-Markov model, previously developed by our
group, for the non-uniformity parameters of infrared (IR) focal plane arrays (FPAs). The Gauss-Markov model
assumed that both, the gain and the offset parameters at each detector, are random state-variables modeled by a
recursive discrete-time process. For simplicity, however, we have regarded here the gain parameter as a constant
and assumed that solely the offset parameter follows a Gauss-Markov model. Experiments have been conducted
at room temperature and IR data was collected from black-body radiator sources using microbolometer-based
IR cameras operating in the 8 to 12 μm. Next, well-known statistical techniques were used to analyze the offset
time series and determinate whether the Gauss-Markov model truly fits the temporal dynamics of the offset. The
validity of the Gauss-Markov model for the offset parameter was tested at two time scales: seconds and minutes.
It is worth mentioning that the statistical analysis conducted in this work is a key in providing mechanisms for
capturing the drift in the fixed pattern noise parameters.
KEYWORDS: Cameras, Staring arrays, Near infrared, Thermal modeling, Imaging systems, Temperature metrology, Cooling systems, Data modeling, Systems modeling, Hyperspectral imaging
Our group has developed a Planck physics-based model for the input/output behavior of near infrared (NIR)
hyperspectral cameras. During the validation of the model, experiments conducted using an NIR hyperspectral
camera have shown that, when thermal radiation is used as the camera input and no illumination is present,
the output offset happens to be thermally dependent, yet independent of the wavelengths in the NIR band. In
this work, the effect of the incident temperature on the amount of output offset in NIR hyperspectral cameras
has been experimentally studied and introduced in our previous model for such cameras. The experimental
study has been conducted using an NIR hyperspectral camera in the range of 900 to 1700 [nm] and a controlled
illumination set-up, while different input temperatures have been controlled by means of black-body radiator
sources. The thermal-dependent offset is modeled phenomenologically from experimental data. Initial results
have shown a non-linear dependence between the offset and the temperature. This thermal-offset dependence
can be used to generate new NIR hyperspectral models, new non-linear calibration procedures, and establish a
basis for the study of time dependent variations of the NIR thermal-offset.
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