Correction to “The Theory of Quaternion Orthogonal Designs”

Authors

Tadeusz Wysocki, University of Nebraska-LincolnFollow
Beata J. Wysocki, University of Nebraska-LincolnFollow
Sarah Spence Adams, Franklin W. Olin College of EngineeringFollow

Date of this Version

2009

Comments

Published in IEEE Transactions on Signal Processing, Vol. 57, No. 8, August 2009. © 2009 IEEE.

Abstract

Seberry et al. claimed that even though the dual-polarized transmission channel cannot be considered as described by means of a single quaternionic gain, the maximum-likelihood (ML) decoding rule can be decoupled for orthogonal space–time-polarization block codes (OSTPBCs) derived from quaternion orthogonal designs (QODs) [1, Sec. IV]. Regretfully, a correction is necessary, and we will show that decoupled decoding using the method presented therein is only optimal for codes derived from certain QODs, not from arbitrary QODs as previously suggested.