  A partial interference cancellation (PIC) group decoding based space-time
block code (STBC) design criterion was recently proposed by Guo and Xia, where
the decoding complexity and the code rate trade-off is dealt when the full
diversity is achieved. In this paper, two designs of STBC are proposed for any
number of transmit antennas that can obtain full diversity when a PIC group
decoding (with a particular grouping scheme) is applied at receiver. With the
PIC group decoding and an appropriate grouping scheme for the decoding, the
proposed STBC are shown to obtain the same diversity gain as the ML decoding,
but have a low decoding complexity. The first proposed STBC is designed with
multiple diagonal layers and it can obtain the full diversity for two-layer
design with the PIC group decoding and the rate is up to 2 symbols per channel
use. But with PIC-SIC group decoding, the first proposed STBC can obtain full
diversity for any number of layers and the rate can be full. The second
proposed STBC can obtain full diversity and a rate up to 9/4 with the PIC group
decoding. Some code design examples are given and simulation results show that
the newly proposed STBC can well address the rate-performance-complexity
tradeoff of the MIMO systems.
