Computing diversity-multiplexing trade-off of static QMF communication strategy in half-duplex diamond relay channels

This paper studies the diversity-multiplexing trade-off (DMT) of half-duplex diamond relay channels. Diversity and multiplexing gains usually evaluate the performance of any relaying strategy, in wireless relay networks with fading channels. DMT captures the fundamental trade-off between these two gains, for communications at high signal to noise ratios (SNR). In this paper, we propose an efficient algorithm that computes the DMT of static-QMF communication strategy in half-duplex diamond relay channels. To find DMT of static QMF, one needs to solve a cumbersome optimization problem. The proposed algorithm, breaks the given optimization to finite
¹
number of sub-optimization problems, each one of which is a quasi-concave optimization problem. Then, using a binary search method, each sub-optimization problem is solved efficiently and the results of sub-optimization problems are combined to find DMT of the static QMF communication in the network.