Partitioning techniques for design of multilevel codes for Rayleigh fading channels

We consider the problem of code design for a set of parallel correlated Rayleigh fading channels. This design problem arises whenever a channel can be decomposed into parallel channels, for example in OFDM schemes using Weyl-Heisenberg bases over underspread fading channels. Schemes involving rotations of integer lattices have been proposed in J. Boutros et al. (1998) as a technique for communication over such channels. In this paper, we propose a multilevel coded modulation scheme based on partitioning the integer lattice and protecting these partitions with outer codes.