New group product differential unitary space-time codes with simplified design and detection

A new differential unitary space-time code is presented that is a product of group diagonal matrices of different orders and a unitary Vandermonde matrix. Design is simplified through properties of the union bound on block error probability for the presented code. Detection is simplified via properties of the diagonal matrices which form a cyclic group. Superior performance to best known differential space-time codes is shown, particularly for 3, 5 and 6 transmit antennas.