Outage Theorems for MIMO Fading Channels

摘要

The connection between the average frame (codeword) error probability (FEP) of space-time codes and the outage probability over non-ergodic fading multi-input multi-output (MIMO) channels is explored. Three telescoping sets of space-time codes are defined for a given rate and it is shown that FEPs arbitrarily close to the outage probability can be achieved by codes in each set. For the smallest set among the three, which satisfies constraints stricter than the average or maximum energy constraints commonly assumed, it is shown that the outage probability also represents the best achievable FEP in the large framelength limit. Further, this set is also shown to contain precoded universal codes.