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

TL;DR

This paper introduces a new class of high-rate, training-embedded SSD distributed space-time block codes from complex orthogonal designs, improving rate and diversity in relay networks.

Contribution

It presents a novel construction of training-embedded CODs that maintain single-symbol decodability and achieve higher rates in relay networks with fewer than 10 relays.

Findings

TE-CODs include training symbols for high rate and SSD property

TE-CODs achieve full diversity for arbitrary constellations

Non-square TE-CODs outperform existing SSD DSTBCs in relay networks with fewer than 10 relays

Abstract

Distributed Space-Time Block Codes (DSTBCs) from Complex Orthogonal Designs (CODs) (both square and non-square CODs other than the Alamouti design) 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, a new class of high rate, training-embedded (TE) SSD DSTBCs are constructed from TE-CODs. The proposed codes include the training symbols in the structure of the code which is shown to be the key point to obtain high rate as well as the SSD property. TE-CODs are shown to offer full-diversity for arbitrary complex constellations. Non-square TE-CODs are shown to provide higher rates (in symbols per channel use) compared to the known SSD DSTBCs for relay networks with number of relays less than $10.$