Symbol error probability optimisation in three-phase bidirectional amplify-and-forward relaying systems

Abstract

This study deals with the error probability optimisation problem in three-phase bidirectional amplify and forward relaying systems. Different from the common two-phase strategy, in the three-phase counterpart, the relay power is split into two different terminals in terms of data error probability. With such a three-phase division, the authors present a unified optimisation algorithm based on the exact symbol error probability (SEP) and its upper bound expression. In addition, by virtue of the dual decomposition algorithm, the authors derive the optimal power allocation and demonstrate its uniqueness at both terminals and the relay node. Moreover, the unified optimisation algorithm can be reduced to some special cases, such as the maximum minimisation problem and unbalanced link problem. The proposed results reveal that the proposed algorithm has a significant impact on SEP reduction.

Keywords

• minimisation
• error statistics
• amplify and forward communication
• relay networks (telecommunication)
• symbol error probability optimisation
• two-phase strategy
• relay power
• data error probability
• three-phase division
• unified optimisation algorithm
• symbol error probability
• upper bound expression
• dual decomposition algorithm
• optimal power allocation
• relay node
• maximum minimisation problem
• unbalanced link problem
• sep reduction
• three-phase bidirectional amplify and forward relaying systems