Resource Allocation for Wireless Fading Relay Channels: Max-Min Solution

As a basic information-theoretic model for fading relay channels, the parallel relay channel is first studied, for which lower and upper bounds on the capacity are derived. For the parallel relay channel with degraded subchannels, the capacity is established, and is further demonstrated via the Gaussian case, for which the synchronized and asynchronized capacities are obtained. The capacity achieving power allocation at the source and relay nodes among the subchannels is characterized. The fading relay channel is then studied, for which resource allocations that maximize the achievable rates are obtained for both the full-duplex and half-duplex cases. Capacities are established for fading relay channels that satisfy certain conditions.