Codes for differential signals in the presence of large numbers of antennas

We consider the design of codes for differential space-time modulation in the presence of large numbers of transmit and/or receive antennas. Based on the novel upper bound on the pairwise-error probability of differential space-time modulation for large numbers of antennas, we show that Euclidean distance is an appropriate code performance indicator in the large-array regime. For two transmit antennas, we use the new design criterion to obtain new differential codes with large minimum Euclidean distance. Simulations of bit-error-rate confirms that the new codes has improved the performance of differential codes for large numbers of receive antennas.