A full diversity PIC group decoding for a family of space-time block codes

A partial interference cancellation (PIC) group decoding as well as a full diversity design criterion were recently proposed for space-time block code. The PIC group decoding complexity is between the lowest linear decoding complexity and the highest ML decoding complexity, and so is the code rate. Based on the criterion for the PIC group decoding, families of space-time block codes were also proposed recently. However, the interference cancellation operator is hard to determine and with the direct zero-forcing (ZF) PIC group decoding, these codes may not achieve the full diversity. In this paper, we propose a new PIC group decoding method for these existing codes, which has a similar decoding complexity to the ZF PIC group decoding, but achieves full diversity (or nearly).