In this paper, we propose a distributed linear dispersion coding (DLDC) for two-way cyclic prefixed single-carrier (CP-SC) relay networks. Two CP-SC sources exchange the information within two time phases with the aid of multiple relay nodes in the frequency selective fading channels. The DLDC is proposed to be implemented across relay nodes, which provides signals the linear dispersion over space-frequency-domain, meanwhile with its simple equivalent implementation in time-domain. The average signal-to-noise ratio and pairwise error probability have been analyzed, which proves that the proposed DLDC achieves space and frequency diversity gains.
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