Two rank order tests for M-ary detection

Abstract

Abstract-We consider a general -ary detection problem where, given groups of samples each, the problem is to identify which unique group of samples have come from the signal hypothesis. The optimal likelihood ratio test is unrealizable, when the joint distribution of samples is not completely known. In this paper we consider two rank order types of tests termed as the modified rank test (MRT) and the modified rank test with row sort (MRTRS). We examine through simulation, the small sample probability of error performances of MRT and MRTRS for detecting a signal among contaminants. Numerically computable closed -form error expressions are derived for some special cases. Asymptotic (large sample) error rate of MRT is also derived. The results indicate that MRTRS provides improved performance over other previously known rank tests.

Diversity combining in antenna array base station receiver for DS/CDMA system

“…The EGC and a modified rank test (MRT) [3] implement the following decision rules: decide as the signal row if It has been shown in [1], and also verified by us, that for a large number of users ( ), the MAI signal vector can be modeled as spatially white Gaussian. However, this model no longer holds good for a small number of users.…”