Diversity Block Code: A Trade-off for Multiplexing and Diversity Gains

Multiple antennas at both transmitter and receiver have been proposed in the literature to obtain spatial multiplexing or diversity based on the system requirement. Analytical approaches have been found in the literature, suggesting obtainable trade-off between multiplexing and diversity. However, there exists no implementable demonstration to achieve the same. In this study, a generator polynomial for a block code namely diversity block code has been proposed that demonstrates achievable trade-off between multiplexing and diversity. It is found that at low signal to noise ratio, the proposed codes provides the best bit error rate performance in comparison to its counterparts, systems with spatial multiplexing and transmit diversity. Beyond 7dB SNR, the system with the proposed code is being superior to the system with spatial multiplexing