We propose a new post-processing technique for the detection of faint companions and the estimation of
their parameters from adaptive optics (AO) observations. We apply the optimal linear detector, which is the
Hotelling observer, to perform detection, astrometry and photometry on real and simulated data. The real
data was obtained from the AO system on the 3m Lick telescope1.
The Hotelling detector, which is a prewhitening matched filter, calculates the Hotelling test statistic which
is then compared to a threshold. If the test statistic is greater than the threshold the algorithm decides that a
companion is present. This decision is the main task performed by the Hotelling observer. After a detection is
made the location and intensity of the companion which maximise this test statistic are taken as the estimated
We compare the Hotelling approach with current detection algorithms widely used in astronomy. We discuss
the use of the estimation receiver operating characteristic (EROC) curve in quantifying the performance of the
algorithm with no prior estimate of the companion's location or intensity. The robustness of this technique to
errors in point spread function (PSF) estimation is also investigated.