On the Issue of Decoupled Decoding of Codes Derived from Quaternion Orthogonal Designs

Authors

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

Date of this Version

9-2009

Comments

Published in 3rd International Conference on Signal Processing and Communication Systems, Omaha, Nebraska, 28-30 September 2009

Abstract

Quaternion orthogonal designs (QODs) have been previously introduced as a basis for orthogonal space-time polarization block codes (OSTPBCs). This note will serve to correct statements concerning the optimality of a decoupled maximum-likelihood (ML) decoding algorithm. It will be shown that when compared to coupled decoding, the decoupled decoding is only optimal in certain cases. This raises several open problems concerning the decoding of OSTPBCs.