Abstract
Construction of quaternion design for Space-Time-Polarization Block Codes (STPBCs) is a hot but difficult topic. This letter introduces a novel way to construct high dimensional quaternion designs based on any existing low dimensional quaternion orthogonal designs(QODs) for STPBC, while preserving the merits of the original QODs such as full diversity and simple decoding. Furthermore, it also provides a specific schema to reach full diversity and maximized code gain by signal constellation rotation on the polarization plane.
