Detection of signals in impulsive noise using median-shift sign

We propose a new detector based on the median-shift sign. We call it the median-shift sign (MSS) detector, which is an extension of the classical sign detector. We first analyze the problem of detecting a DC signal in noise of known probability density function (PDF). The MSS detector with the optimum median-shift value, the optimum MSS detector, has the best performance among the detectors compared in impulsive noise. We also analyze the problem of detecting a DC signal when only partial information is available on the noise. The MSS detectors with constant median-shift values perform better than the sign and Wilcoxon detectors for most signal ranges in impulsive noise