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Space-time convolutional codes over GF(p) achieving full 2-level diversity

We consider a design procedure for achieving full 2-level diversity and coding advantage for space-time convolutional codes over GF(p), where p can be any prime number. Using a p-ary constellation (not necessarily PSK), the spectral efficiency is log/sub 2/(p) b/s/Hz. Simple conditions on the generator matrices of a rate R = 1/2 convolutional code are given so that maximum diversity is guaranteed, while reducing the computer search effort. New 2-space-time codes are presented for the 5-PSK and 7-PSK modulations. Simulation results validate the presented code design procedure.