The systematic study of relaying and cooperation in the context of digital communication goes back to the work of Van der Meulen [1] and Cover and El Gamal [2]. The basic relay channel of [1, 2] consists of a source, a destination, and a relay node. The system models in [1, 2] are either discrete memoryless channels (DMC), or continuous-valued channels which are characterized by constant (nonrandom) links and additive white Gaussian noise. The study of cooperative wireless communication is a more recent activity that started in the late 1990s, and since then has seen explosive growth in many directions. Our focus is specifically on aspects of cooperative communication related to cellular radio. Aside from the fading model, the defining aspects of a cellular system are base stations that are connected to an infrastructure known as the backhaul, which has a much higher capacity and better reliability than the wireless links. The endpoints of the system are mobiles that operate subject to energy constraints (battery) as well as constraints driven by the physical size of the device that lead to bounds on computational complexity and the number of antennas, among other considerations. There are multiple mobiles in each cell as well as frequency reuse, leading to intracell interference and intercell interference, respectively. The exponential path-loss laws lead to significant variations in signal power at various points in the cell. In this chapter we are concerned with cooperative radio communication that specifically engages one or more of these defining aspects. Within the context of cellular radio, cooperative communication may be used to enhance capacity, improve reliability, or increase coverage. It may be used in the uplink or the downlink. In the communication between a base station and a mobile, the cooperating entity may be another base station, another mobile, or a dedicated (often stationary) wireless relay node. The cooperating entity may have various amounts of information about the source data and channel state information. Cooperation may happen in the physical layer, data link layer, network layer, transport layer, or even higher layers. The large number of different
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