A New Full-Rate Orthogonal Space-Time Block Coding Scheme Based on Quaternion

This paper introduces a full rate, full diversity orthogonal space-time block code for 4 transmit antennas. The4times4 codeword matrix consists of four 2times2 Alamouti blocks, and these blocks can be viewed as quaternions which in turn represent rotations in R3. The Alamouti blocks that appear in a codeword are drawn from the icosahedral group. The code is no constellation expansion unlike some full-rate full-diversity codes in the literature. By utilizing the quaternionic form, we can find the decoding algorithm to reduce the complexity of maximum likelihood (ML) coherent decoding.

[1]  Constantinos B. Papadias,et al.  Improved quasi-orthogonal codes through constellation rotation , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  Emanuele Viterbo,et al.  A universal lattice code decoder for fading channels , 1999, IEEE Trans. Inf. Theory.

[3]  A. Robert Calderbank,et al.  Space-Time Codes for High Data Rate Wireless Communications : Performance criterion and Code Construction , 1998, IEEE Trans. Inf. Theory.

[4]  N. J. A. Sloane,et al.  Sphere Packings, Lattices and Groups , 1987, Grundlehren der mathematischen Wissenschaften.

[5]  A. Robert Calderbank,et al.  Space-Time block codes from orthogonal designs , 1999, IEEE Trans. Inf. Theory.

[6]  Siavash M. Alamouti,et al.  A simple transmit diversity technique for wireless communications , 1998, IEEE J. Sel. Areas Commun..

[7]  Hamid Jafarkhani.  A quasi-orthogonal space-time block code , 2001, IEEE Trans. Commun..

[8]  Ari Hottinen,et al.  Minimal non-orthogonality rate 1 space-time block code for 3+ Tx antennas , 2000, 2000 IEEE Sixth International Symposium on Spread Spectrum Techniques and Applications. ISSTA 2000. Proceedings (Cat. No.00TH8536).

[9]  A. Albert.  Structure of Algebras , 1939 .

[10]  Frédérique E. Oggier,et al.  Algebraic Number Theory and Code Design for Rayleigh Fading Channels , 2004, Found. Trends Commun. Inf. Theory.