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Linear Relaying (LR) is the extension of amplify-and-forward to full-duplex operation, and consists of relay nodes transmitting (on every channel use) a linear combination of previously received signals. From a practical standpoint, it is one of the most profitable and easily deployed forwarding techniques, as only requires buffering and amplifying capabilities. In this paper, the authors propose to use it at multiple relays in order to enlarge the capacity region of single-antenna Multiple-Access Control (MAC) and Broadcast Channels (BC). Relays are assumed to be fixed, and without own data to transmit. The first part of their contribution is devoted to the MAC.
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