We consider a general point-to-point fading multiple-input multiple-output (MIMO) Gaussian channel. The channel suffers block fading and is with finite channel states, among which there is no degraded order due to the multi-antenna deployment. To guarantee reliable transmissions under the arbitrary unpredictable fading state, we generalize the layered broadcast approach in the channel by inducing the general rate splitting scheme. It assigns the specific sub-message layers for every possible state set and splits the transmission rate by allocating power to each layer. Under this scheme, a generalized broadcast approach is designed to be suitable for multi-antenna transmission. The maximum average rate subject to a transmit power constraint can be determined by a non-convex optimization problem over power allocation and rate tuple. We propose an iterative algorithm based on certain properties that the optimal solution would meet under some necessary conditions. It can output one local optimum for the optimization and thus assist in obtaining a scheme with a decent performance.

We consider a general point-to-point fading multiple-input multiple-output (MIMO) Gaussian channel. The channel suffers block fading and with finite channel states, among which there is no degraded order on state information due to multi-antenna deployment. To guarantee reliable transmissions under arbitrary unpredictable fading states, we generalize the layered broadcast approach in the channel by inducing a rate splitting scheme. It assigns a specific sub-message layer for every possible state set and splits the transmission rate by allocating power to each layer. Under this scheme, a generalized broadcast approach is designed to be suitable for multi-antenna transmission. The maximum average rate under total power constraint can be characterized by an optimization problem. Numerical examples are provided to show the optimality of our transmission scheme within degradedness among different channel state information. Meanwhile, such generalization can also provide a decent performance under the general non-degraded case.