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Bounding the performance of a narrowband MUD receiver

A new bound on the performance of multiuser receivers in fading channels is presented. The bound is based on a novel criterion for decomposability of error sequences. Although the bound development is in the context of a narrowband multiuser system, the improved bounds can be applied directly to CDMA multiuser systems over a fading channels. Several examples demonstrate the tightness of the new bound, relative to previous results from the literature.