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Distributed Space-Time Block Codes (DSTBCs) from Complex Orthogonal Designs(CODs) (both square and non-square CODs other than the Alamouti design) areknown to lose their single-symbol ML decodable (SSD) property when used intwo-hop wireless relay networks using amplify and forward protocol. For such anetwork, in this paper, a new class of high rate, training-embedded (TE) SSDDSTBCs are constructed from TE-CODs. The proposed codes include the trainingsymbols in the structure of the code which is shown to be the key point toobtain high rate as well as the SSD property. TE-CODs are shown to offerfull-diversity for arbitrary complex constellations. Non-square TE-CODs areshown to provide higher rates (in symbols per channel use) compared to theknown SSD DSTBCs for relay networks with number of relays less than $10.$

High-Rate, Distributed Training-Embedded Complex Orthogonal Designs for Relay Networks