Matched-filter bounds for multicarrier communications systems with transmit diversity

In this paper, we consider wireless multi-carrier communications systems applying different transmit antenna diversity techniques. Whereas the transmitter has available multiple antennas, we assume a single antenna at the receiver. Thus, we consider multiple-input single-output multi-carrier transmission systems which are of special interest for downlink mobile radio applications. For these systems, we investigate the matched-filter bounds which represent the performance in an environment free of any interference and, thus, are lower bounds on the achievable performance. Especially, we focus on the analytical determination of the matched-filter bounds for selection diversity, since this transmit antenna diversity technique requires the least amount of preprocessing at the transmitter. Based on the derived matched-filter bounds, selection diversity is investigated in detail and compared to other transmit antenna diversity techniques which are based on the maximum-ratio and the equal-gain transmission principle, respectively