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We propose a spectrally efficient transmission scheme for the half-duplex relay channel. In the proposed scheme, the relay combines N detected r-dimensional symbols and generates M new r-dimensional symbols, where M < N , using a linear transformation. The proposed linear transformation preserves the signal energy, and it facilitates decoupled symbol detection at the receiver. We also present an optimized design for the case of complex scalar modulation (r = 2) with N = 2 and M = 1. This designdoi:10.1109/glocom.2007.320 dblp:conf/globecom/KhormujiL07 fatcat:trhax2c2xncndbpwv42netv6la