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In this paper, the authors investigate how to send space time codes with full diversity and low decoding complexity for Z channels using pre-coders with any number of users. They assume that they have J transmitters each with J transmit antennas and J receivers each with J receive antennas. Each transmitter sends code words to respective receiver at the same time. They propose an orthogonal transmission scheme that combines space time codes and array processing to achieve low-complexity decoding and full diversity for transmitted signals. This is the first general scheme for any number of users which can achieve low-complexity decoding and full diversity for any transmitted code word in Z channel when all the users transmit at the same time.
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