Trading-off transmission rate with transmit diversity in differential detection

In this paper we construct a method where rate can be trade-off for diversity in differential detection transmit diversity. Specifically, we show for the case 3 and 4 transmit and M receive antennas, when using the PSK constellation, it is possible to double the rate of differential transmit diversity schemes (from 3/4 symbols per channel use to 1.5 symbols per channel use) while achieving 2(M-1) level diversity with extremely simple encoding and decoding.