Annular apertures for angular tracking

Physics – Optics

Scientific paper

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Apertures, Instrument Errors, Laser Ranger/Tracker, Optical Tracking, Signal To Noise Ratios, Annuli, Irradiance, Maximum Likelihood Estimates, Root-Mean-Square Errors, Shot Noise, Speckle Patterns

Scientific paper

The estimation of the angular position of a target based on its image is considered when the image is formed with a telescope possessing an annular pupil and is sensed with a four-quadrant noncoherent detector. The Cramer-Rao lower bound on the estimation error is calculated as a function of the linear obscuration ratio epsilon for unresolved targets in the shot-noise limit. The ratio epsilon influences the error both via the shape of the telescope point spread function (PSF) and via the SNR. The error increase associated with the PSF becomes significant for epsilon not less than 0.5.

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