A Construction for Quaternion Orthogonal Designs
نویسندگان
چکیده
This paper provides a general construction technique for rectangular matrices whose elements are quaternion variables and whose column vectors are formally orthogonal. These matrices are named quaternion orthogonal designs, in parallel with the well-known constructs of real and complex orthogonal designs. The proposed construction technique provides the first infinite family of this type of quaternion orthogonal design. It is shown that the proposed construction technique can be used to build a quaternion orthogonal design with no zero entries, which may be important in future applications of these designs as quaternion space-timepolarization block codes.
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