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Maxim Tuchin , Anton Biryukov , Mikhail Prokhorov, Andrey Zakharov Space Project Laboratory, Sternberg Astronomical Institute, Lomonosov Moscow State University. On Random and Systematic Errors of a Star Tracker. Comparing real and estimated random errors.
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Maxim Tuchin, Anton Biryukov,Mikhail Prokhorov, AndreyZakharov Space Project Laboratory,Sternberg Astronomical Institute,Lomonosov Moscow State University On Random and Systematic Errors of a Star Tracker
The effect of shot noise of star fluxdecreases with the increase of signal from star ~ Shot noise of background (light scattering) Random dark signal componentcan be reduced by cooling the sensor Readout noise of the sensorreading out with a lower frequency Estimation of random error Random error sources
Image pixelization Limitation of the analyzed area while measuring coordinates Different sensitivity of the sensor elements (PRNU) Inhomogeneous sensitivity within a sensor element Dark current non-uniformity (DCNU) Effect of "hot" pixels Displacing effect of electron traps Various aberrations Differences in the spectral sensitivity of elements (SRNU) Non-uniformity of gains, bias Degradation of sensor and optics Etc. Systematic error sources
Using integrated signal from pixels rather then signal distribution function across focal plane Using limited area instead of whole focal plane i.e. using instead of Pixelization and bounded area errors
Error of star image position depending on image size Using PSF , where S – signal from the star, – radius with 80% of signal within
Shift of measured coordinatesdepending on position within pixel Large size star images Small size star images Bounded area effect Pixelization effect
Sensor elements have different levels of thermo generation rate of electrons Non-uniformity is high (up to 20-30%) It leads to increased errors Dark current non-uniformity
Effect of DCNU on the position error Note: SNR is signal-to-noise ratio with DCNU=0 and reflects the signal’s strength
Effect of DCNU on the star image detection Note: SNR is signal-to-noise ratio with DCNU=0 and reflects signal’s strength
DCNU changes with Total Dose Irradiation and after annealing High Accuracy Star Tracker (HAS)Version 2 CMOS Active Pixel image Sensor (CMOS APS) Source: HAS2 Detailed Specification - ICD
Cooling the sensor • We can forget about DS (except “hot” pixels) • Additional elements to design • More power consumption • Heat dumping problem • Increased effects of electron traps • Dark signal estimation • Increasing requirements to calculation capabilities • Less accuracy due to additional noise • Recalibrations are highly recommended Solutions to DCNU problem
To achieve the high accuracy one should • Do ground-based calibrations • Store fair-sized calibration data (like bias or sensitivity maps) onboard • Provide for various corrections during data reduction • Cool the sensor or calculate dark signal • Do some space-based calibrations Conclusions