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Recently Li and Xia have proposed a transmission scheme for wireless relaynetworks based on the Alamouti space time code and orthogonal frequencydivision multiplexing to combat the effect of timing errors at the relay nodes.This transmission scheme is amazingly simple and achieves a diversity order oftwo for any number of relays. Motivated by its simplicity, this scheme isextended to a more general transmission scheme that can achieve fullcooperative diversity for any number of relays. The conditions on thedistributed space time code (DSTC) structure that admit its application in theproposed transmission scheme are identified and it is pointed out that therecently proposed full diversity four group decodable DSTCs from precodedco-ordinate interleaved orthogonal designs and extended Clifford algebrassatisfy these conditions. It is then shown how differential encoding at thesource can be combined with the proposed transmission scheme to arrive at a newtransmission scheme that can achieve full cooperative diversity in asynchronouswireless relay networks with no channel information and also no timing errorknowledge at the destination node. Finally, four group decodable distributeddifferential space time codes applicable in this new transmission scheme forpower of two number of relays are also provided.

Distributed Space Time Codes with Low Decoding Complexity for Asynchronous Relay Networks