On the diversity-multiplexing trade-off of diamond half-duplex relay channels

We study the diversity-multiplexing trade-off (DMT) of diamond relay channels. A diamond network contains a transmitter, two relays and a receiver. DMT of a network represents a fundamental trade-off between the reliability and rate of transmission with the diversity and multiplexing gains for wireless networks with fading channels. In this paper, we compute the DMT of full-duplex diamond relay channels and find the DMT of QMF communication strategy for half-duplex diamond relay channels. Also, a new genetic algorithm is introduced to solve the DMT of static QMF strategy for half-duplex diamond relay channels. By simulation, it is shown than the running time of the genetic algorithm is much better than the running time of finding the DMT of SQMF using grid based optimization techniques. The novelty of the proposed genetic algorithm is in using creative crossover and mutation operators in the algorithm which improved the results.