Algebraic identification for optimal nonorthogonality 4 × 4 complex space-time block codes using tensor product on quaternions

Ming Yang Chen, Hua Chieh Li, Soo Chang Pei

研究成果: 雜誌貢獻文章同行評審

12 引文 斯高帕斯(Scopus)

摘要

The design potential of using quaternionic numbers to identify a 4 × 4 real orthogonal space-time block code has been exploited in various communication articles. Although it has been shown that orthogonal codes in full-rate exist only for 2 Tx-antennas in complex constellations, a series of complex quasi-orthogonal codes for 4 Tx-antennas is still proposed to have good performance recently. This quasi-orthogonal scheme enables the codes to reach the optimal nonorthogonality, which can be measured by taking the expectation over all transmit signals of the ratios between the powers of the off-diagonal and diagonal components. This correspondence extends the quaternionic identification to the above encoding methods. Based upon tensor product for giving the quaternionic space a linear extension, a complete necessary and sufficient condition for identifying any given complex quasi-orthogonal code with the extended space is generalized by considering every possible two-dimensional ℝ-algebra.

原文英語
頁(從 - 到)324-330
頁數7
期刊IEEE Transactions on Information Theory
51
發行號1
DOIs
出版狀態已發佈 - 2005 一月 1

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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