On some MIMO coded modulations based on hadamard matrices

In this paper we consider the coded modulation for Multiple Input Multiple Output (MIMO) channels described earlier in [1]. We study the Permutation Free (PF) and Permutation and Repetition Free (PRF) codes and their cardinality. We propose a new lower bound on PF and PRF code cardinality. We compare it to existing codes cardinality and to the existing upper bound. Then we study the error correction efficiency of these codes with computer simulation. The results of the simulation show that error correction efficiency increases with the length of the PF or PRF code.