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Analysis of bit error probability for imperfect timing synchronization in virtual MISO networks

This paper considers a virtual multiple-input single-output (VMISO) network, where spatially separated single-antenna radios cooperatively transmit the same data to a destination. The existing works for the VMISO system assume perfect synchronization between the nodes. However, in this paper, we investigate the effects of imperfect timing synchronization on the performance of this network. For that purpose, we develop a statistical model for the timing errors and derive the expressions for the bit error probability (BEP) using this model. The results indicate that the BEP performance is degraded due to imperfect timing synchronization and the BEP is dependent upon the number of radios per cluster, signal-to-noise ratio (SNR) and the distance disparities between the nodes.