Randomized cooperative precoding and diversity analysis over doubly selective channels

Multiple-input multiple-output (MIMO) systems exploit transmit diversity to combat the effect of fading channels. Recently, a new paradigm known as cooperative communication was proposed that achieves the same transmit diversity as the MIMO system. However unlikely MIMO system which requires multiple antennas, cooperative communications use the scheme of sharing single antenna to generate a virtual multi-antenna system. In this paper we explore the attainable diversity of decentralized schemes in cooperative communications using random matrices in doubly-selective channels. We show that the decentralized scheme is easily adapted to block space-time precoding schemes which utilize both spatial and temporal diversity, and characterize the attainable diversity of that scheme.