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Distributed Space-Time Block Codes (DSTBCs) from Complex Orthogonal Designs (CODs) (both square and non-square), Coordinate Interleaved Orthogonal Designs (CIODs), and Clifford Unitary Weight Designs (CUWDs) are known to lose their Single-Symbol ML Decodable (SSD) property when used in two-hop wireless relay networks using amplify and forward protocol. For such a network, in this paper, three new classes of high rate, Training-Symbol Embedded (TSE) SSD DSTBCs are constructed: TSE-CODs, TSE-CIODs, and TSE-CUWDs. The proposed codes include the training symbols inside the structure of the code which is shown to be the key point to obtain the SSD property along with the channel estimation capability. TSE-CODs are shown to offer full-diversity for arbitrary complex constellations and the constellations for which TSE-CIODs and TSE-CUWDs offer full-diversity are characterized.
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