Construction of amicable orthogonal designs of quaternions

This paper introduces some construction methods for amicable orthogonal designs over the real and quaternion domain which have not been explored for code design before. The proposed construction methods generate a large number of amicable orthogonal designs of quaternions. It is also shown that amicable orthogonal designs of quaternions can be used to construct restricted quaternion orthogonal designs which can be applied as orthogonal space-time-polarization block codes for wireless communications.