Golden space-time block-coded modulation

IEEE Transactions on Information Theory

Volumn 55, Issue 2, 2009, Pages 584-597

  Luzzi, Laura ^a   Othman, Ghaya Rekaya Ben ^a   Belfiore, Jean Claude ^a   Viterbo, Emanuele ^b  

^a TELECOM PARISTECH   (France)

^b UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Coding gain; Golden Code; Reed Solomon codes; Space time block codes

Indexed keywords

BEAMFORMING; BLOCK CODES; CONTROL THEORY; DECODING; FADING (RADIO); HAMMING DISTANCE; INFORMATION THEORY; MIM DEVICES; MODULATION; MULTIPLEXING; REED-SOLOMON CODES; SPACE TIME ADAPTIVE PROCESSING; TURBO CODES;

BLOCK-CODED MODULATIONS; CODING GAIN; GOLDEN CODE; LOWER BOUNDS; MULTIPLE INPUT MULTIPLE OUTPUTS; POWER OF TWOS; RING STRUCTURES; SET PARTITIONING; SIMULATION RESULTS; SLOW FADING CHANNELS; SPACE-TIME BLOCK CODED; SPACE-TIME BLOCK CODES; SPACE-TIME CODES; UNCODED;

FADING CHANNELS;

EID: 61349104436     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.2009846     Document Type: Article

References (18)

1. V. Tarokh, N. Seshadri, and A. R. Calderbank, "Space-time codes for high data rate wireless communication: Performance criterion and code construction," IEEE Trans. Inf. Theory, vol. 44, pp. 744-765, 1998.
2. J.-C. Guey, M. P. Fitz, M. R. Bell, and W.-Y. Kuo, "Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels," in Proc. IEEE VTC '96, pp. 136-140.
3. C. Hollanti and J. Lahtonen, "A new tool: Constructing STBCs from maximal orders in central simple algebras," in Proc. Inf. Theory Workshop, 2006, pp. 322-326.
4. C. Hollanti, J. Lahtonen, and H. F. Lu, "Maximal orders in the design of dense space-time lattice codes," IEEE Trans. Inf. Theory, vol. 54, no. 10, pp. 4493-4510, Oct. 2008.
5. C. Hollanti, J. Lahtonen, K. Ranto, and R. Vehkalahti, "On the densest MIMO lattices from cyclic division algebras," IEEE Trans. Inf. Theory, Dec. 2006, submitted for publication.
6. B. A. Sethuraman, B. S. Rajan, and V. Shashidar, "Full-diversity, high-rate space-time block codes from division algebras," IEEE Trans. Inf. Theory, vol. 49, pp. 2596-2616, 2003.
7. J.-C. Belfiore, G. Rekaya, and E. Viterbo, "The Golden Code: A 2 × 2 full-rate space-time code with non-vanishing determinants," IEEE Trans. Inf. Theory, vol. 51, 2005.
8. F. Oggier, G. Rekaya, J.-C. Belfiore, and E. Viterbo, "Perfect space-time blocks codes," IEEE Trans. Inf. Theory, vol. 52, 2006.
9. P. Elia, B. A. Sethuraman, and P. V. Kumar, "Perfect space-time codes with minimum and non-minimum delay for any number of transmit antennas," IEEE Trans. Inf. Theory, vol. 53, pp. 3853-3868, 2007.
10. S. Benedetto and E. Biglieri, Principles of Digital Transmission With Wireless Applications. New York: Kluwer, 1999.
11. P. Elia, K. R. Kumar, S. A. Pawar, P. V. Kumar, and H.-F. Lu, "Explicit, minimum delay space-time codes achieving the diversity-multiplexing gain tradeoff," IEEE Trans. Inf. Theory, vol. 52, pp. 3869-3884, 2006.
12. K. R. Kumar and G. Caire, "Space-time codes from structured lattices," IEEE Trans. Inf. Theory, Apr. 2008, submitted for publication.
13. Y. Hong, E. Viterbo, and J.-C. Belfiore, "Golden space-time Trellis coded modulation," IEEE Trans. Inf. Theory, vol. 53, 2007.
14. D. Champion, J.-C. Belfiore, G. Rekaya, and E. Viterbo, "Partitionning the Golden Code: A framework to the design of space-time coded modulation," presented at the Canadian Workshop on Information Theory, 2005.
15. T. W. Hungerford, Algebra. New York: Springer-Verlag, 1974.
16. G. D. Forney, "Coset codes- Part I: Introduction and geometrical classification," IEEE Trans. Inf. Theory, vol. 34, 1988.
17. M.-F. Vignéras, "Arithmétique des algèbres de quaternions," in Lecture Notes in Mathematics. New York: Springer Verlag, 1980.
18. I. Reiner, Maximal Orders. Oxford, U.K.: Clarendon Press, 2003.