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Measurement Extraction for a Point Target From an Optical Sensor | IEEE Journals & Magazine | IEEE Xplore

Measurement Extraction for a Point Target From an Optical Sensor


Abstract:

This paper considers the measurement extraction for a point target from an optical sensor's focal plane array (FPA) with a dead zone separating neighboring pixels. Assumi...Show More

Abstract:

This paper considers the measurement extraction for a point target from an optical sensor's focal plane array (FPA) with a dead zone separating neighboring pixels. Assuming that the energy density of the target deposited in the FPA conforms to a Gaussian point spread function and that the noise mean and variance in each pixel are proportional to the pixel area (i.e., according to a Poisson noise model), we derive the Cramér-Rao lower bound (CRLB) for the covariance of the estimated target location. It is observed that that there is an optimal pixel size that minimizes the CRLB for a given dead-zone width, and the maximum likelihood estimator is shown to be efficient via Monte Carlo runs for moderate-to-large signal-to-noise ratios. The test statistic for target detection is derived and it is shown to be a matched filter at the estimated location. The distributions of the test statistic under both hypotheses are derived using some approximations. The detection probability is then obtained.
Published in: IEEE Transactions on Aerospace and Electronic Systems ( Volume: 54, Issue: 6, December 2018)
Page(s): 2735 - 2745
Date of Publication: 18 April 2018

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