An analytic design of 2-space-time trellis code by function range set expansion

We offer an analytic design of optimal 2-space-time trellis codes. The design uses function range set expansion, which achieves better performance compared to known codes. The function range set is the encoder output value range of this trellis finite state machine. The output then is used to modulate the phase (m-PSK) to transmit. The resultant code is non-uniform and can be viewed as an extension of Tarokh´s (see IEEE Transactions on Information Theory, vol.44, p.744-65, March 1998) work. When the range set size equals to the number of states it reduces to Tarokh´s uniform code. Simulations also show that function range set expansion design outperforms state space expansion design in both frame error rate (FER) and decoding complexity. Our 4 states16-PSK STTC can achieve the similar performance of Tarokh´s 32 states 4-PSK STTC.