Abstract- Coding with a single fixed rate may not achieve the maximum throughput of a compound channel if the transmitter only has access to channel state statistics. Superposition coding for broadcast channels can be employed to increase the through-put. We study the optimal rate allocation for finite level superposition coding to maximize the through-put. Results show 2-level superposition coding is ad-equate to achieve most of the throughput gain in a quasi-static Rayleigh fading channel. Introduction- This paper investigates how to maximize data throughput in compound channels with probability distributions on channel states. The focus is the quasi-static fading channel, a typical channel model for high speed wireless data transmission. A common approach to communicat
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