Some 2 × 2 unitary space-time codes from sphere packing theory with optimal diversity product of code size 6

IEEE Transactions on Information Theory

Volumn 50, Issue 12, 2004, Pages 3361-3368

  Wang, Haiquan ^a   Wang, Genyuan ^a   Xia, Xiang Gen ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Differential space time modulation; Optimal diversity product; Packing theory; Unitary space time codes

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); ENCODING (SYMBOLS); HAMILTONIANS; MATRIX ALGEBRA; MODULATION; SIGNAL TO NOISE RATIO;

DIFFERENTIAL SPACE TIME MODULATION; OPTIMAL DIVERSITY PRODUCT; PACKING THEORY; UNITARY SPACE TIME CODES;

CODES (SYMBOLS);

EID: 10644221281     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.838105     Document Type: Article

References (23)

1. T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inform. Theory, vol. 45, pp. 139-157, Jan. 1999.
2. B. M. Hochwald and T. L. Marzetta, "Unitary space-time modulation for multiple-antenna communication in Rayleigh flat fading," IEEE Trans. Inform. Theory, vol. 46, pp. 543-564, Mar. 2000.
3. B. M. Hochwald, T. L. Marzetta, T. J. Richardson, W. Sweldens, and R. Urbanke, "Systematic design of unitary space-time constellations," IEEE Trans. Inform. Theory, vol. 46, pp. 1962-1973, Sept. 2000.
4. D. Agrawal, T. J. Richardson, and R. L. Urbanke, "Multiple-antenna signal constellations for fading channels," IEEE Trans. Inform. Theory, vol. 47, pp. 2618-2626, Sept. 2001.
5. B. M. Hochwald and W. Sweldens, "Differential unitary space-time modulation," IEEE Trans. Commun., vol. 48, pp. 2041-2052, Dec. 2000.
6. B. L. Hughes, "Differential space-time modulation," IEEE Trans. Inform. Theory, vol. 46, pp. 2567-2578, Nov. 2000.
7. B. L. Hughes, "Optimal space-time constellations from groups," IEEE Trans. Inform. Theory, vol. 49, pp. 401-410, Feb. 2003.
8. V. Tarokh and H. Jafarkhani, "A differential detection scheme for transmit diversity," IEEE J. Select. Areas Commun., vol. 18, pp. 1169-1174, July 2000.
9. A. Shokrollahi, B. Hassibi, B. M. Hochwald, and W. Sweldens, "Representation theory for high-rate multiple-antenna code design," IEEE Trans. Inform. Theory, vol. 47, pp. 2335-2367, Sept. 2001.
10. B. Hassibi and B. M. Hochwald, "Cayley differential unitary space-time codes," IEEE Trans. Inform. Theory, vol. 48, pp. 1473-1484, June 2002.
11. X.-B. Liang and X.-G. Xia, "Unitary signal constellations for differential space-time modulation with two transmit antennas: Parametric codes, optimal designs, and bounds," IEEE Trans. Inform. Theory, vol. 48, pp. 2291-2322, Aug. 2002.
12. K. L. Clarkson, W. Sweldens, and A. Zheng, "Fast Multiple Antenna Differential Decoding ," Bell Laboratories, Lucent Technologies, Tech. Rep., 1999.
13. B. Hassibi and M. Khorrami, "Fully-diverse multi-antenna constellations and fixed-point-free Lie group," IEEE Trans. Inform. Theory, submitted for publication.
14. L. Zheng and D. N. C. Tse, "Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel," IEEE Trans. Inform. Theory, vol. 48, pp. 359-383, Feb. 2002.
15. M. Brehler and M. K. Varanasi, "Asymptotic error probability analysis of quadratic receivers in Rayleigh-fading channels with applications to a unified analysis of coherent and noncoherent space-time receivers," IEEE Trans. Inform. Theory, vol. 47, pp. 2383-2399, Sept. 2001.
16. A. Shokrollahi, Design of unitary space-time codes from representation of SU(2). [Online]. Available: http//mars.bell-labs.com
17. A. Shokrollahi, A note on double antenna diagonal space-time codes. [Online]. Available: http//mars.bell-labs.com
18. A. Shokrollahi, Computing the performance of unitary space-time group constellations from their character table. [Online]. Available: http//mars.bell-labs.com
19. C. Schlegel and A. Grant, "Differential space-time turbo codes," IEEE Trans. Inform. Theory, vol. 49, pp. 2298-2306, Sept. 2003.
20. N. J. A. Sloane. [Online]. Available: http://www.research.att.com/~njas/packings
21. T. Hirai, Linear Algebras and Representation Theory. Tokyo, Japan: Sugaku Books, 2001, vol. I, II.
22. J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, 3rd ed. New York: Springer-Verlag, 1999.
23. H. Wang, G. Wang, and X.-G. Xia, Some 2 × 2 unitary space-time codes from sphere packing theory with optimal diversity product of code size. [Online]. Available: http://www.ee.udel.edu/~xxia/Pub.html