In this paper, two-hop parallel N -relay networks are considered and the diversitymultiplexing tradeoff (DMT) is derived over Gamma-Gamma free-space optical (FSO) channels with identical average received signal to noise rations in all links. In the derivations, both local and global channel state information (CSI) are investigated. In the local CSI case, the node only knows its incoming link conditions, while in the global CSI case, the nodes are aware of all the CSIs in the network. The listening and transmitting times at the relays as variables in the DMT derivation are further considered which are later used to optimize the performance of the network. It is demonstrated that the optimal DMT is obtained with the static quantize map and forward (SQMF) and dynamic quantize map and forward (DQMF) strategies for different ranges of the multiplexing gain. In addition, the optimal schedule of relays in the DQMF strategy is determined as a function of the local channel conditions in the relays.
INTRODUCTIONFree-space optical (FSO) communication provides high channel bandwidth at low cost and inherent security using near-infrared (NIR) carrier frequencies in the optical band [1]. These benefits make FSO systems appealing for various applications in terrestrial and satellite communication links. However, despite their important advantages, the performance of terrestrial FSO systems are affected by atmospheric fading. Parallel relay networks are one of the ways to eliminate this defect in FSO systems [2]. One of the fundamental metrics to characterize the performance of an FSO system is the optimality of the diversitymultiplexing tradeoff (DMT). In [3], the authors introduce the DMT metric in an FSO system for Log-normal, Gamma-Gamma, and negative exponential channel models. Parallel relaying connects the source and the destination through several parallel sets of relays that are assumed to use orthogonal channels for relaying the information simultaneously [4,5]. Also, a direct link might exist based on the propagation conditions. Since the destination node receives the same data via multiple independent different paths, parallel relaying systems can enhance the reliability and/or capacity in FSO systems. This model of cooperative communications was presentedThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.