Order-statistics minimum error detector for optimal delay detection in multipath Rayleigh fading channel context

In this paper, we address the problem of delay detection for mobile localization in a multipath Rayleigh fading channel. A new methodology for delay detection, in presence of closely spaced interfering paths, is introduced, namely the Order-Statistics Minimum Error Rate (OS-MER) detector. The latter is based on the minimization of the error probability instead of minimizing only the miss probability for a Constant False Alarm Rate (CFAR). Results show that the OS-MER detector is well adapted to this specific problem and overcomes, in particular, the CFAR- based detector.