Browse > Article

Design of Space-Time Trellis Code with Uniform Error Property  

Jung Young-Seok (School of Electrical Engineering and Computer Science and INMC, Seoul National University)
Lee Jae-Hong (School of Electrical Engineering and Computer Science and INMC, Seoul National University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea TC / v.43, no.8, 2006 , pp. 59-68 More about this Journal
Abstract
The study on the uniform error property of codes has been restricted to additive white Gaussian noise (AWGN) channel, which is generally referred to as geometrical uniformity. In this paper, we extend the uniform error property to space-time codes in multiple-input multiple-output (MIMO) channel by directly treating the probability density functions fully describing the transmission channel and the receiver. Moreover, we provide the code construction procedure for the geometrically uniform space-time trellis codes in fast MIMO channels, which consider the distance spectrum. Due to the uniform error property, the complexity of code search is extensively reduced. Such reduction makes it possible to obtain the optimal space-time trellis codes with high order states. Simulation results show that new codes offer a better performance in fast MIMO channels than other known codes.
Keywords
Uniform error probability; Geometrically uniform codes; Space-time trellis codes; Group codes;
Citations & Related Records
연도 인용수 순위
  • Reference
1 G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. The John Hopkins University Press, 1996
2 R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1985
3 Y. S. Jung and J. H. Lee; 'New measure of coding gain for space-time trellis codes,' in Proc. IEEE ISIT 2001, p, 198, Washington, D.C., U.S.A., June 2001   DOI
4 G. D. Forney, Jr., 'Geometrically uniform codes,' IEEE Trans. Inform Theory, vol. 37, no. 5, pp. 1241-1260, Sept. 1991   DOI   ScienceOn
5 Y. Levy and D. J. Costello, Jr., 'A geometric construction procedure for geometrically uniform trellis codes,' IEEE Trans. Inform Theory, vol. 42, no. 5, pp. 1498-1513, Sept. 1996   DOI   ScienceOn
6 Z. Yan and D. M. Ionescu, 'Geometrical uniformity of a class of space-time trellis codes,' IEEE Trans. Inform Theory, vol. 50, no. 12, pp. 3343-3347, Dec. 2004   DOI   ScienceOn
7 B. L. Hughes, 'Optimal space-time constellations from groups,' IEEE Trans. Inform Theory, vol. ？49, no. 2, pp. 401-410, Feb. 2003   DOI   ScienceOn
8 J. G. Proakis, Digital Communications, 3rd ed. New York: McGRAW-HILL, 1995
9 J. B. Fraleigh, A first course in abstract algebra, Addison-Wesley, 1998
10 V. Tarokh, N. Seshadri, and A. R. Calderbank, 'Space-time codes for high data rate wireless communication: Performance criterion and code construction,' IEEE Trans. Inform Theory, vol. 44, no. 2, pp. 744-765, Mar. 1998   DOI   ScienceOn
11 A. R. Hammons, Jr. and H. El Garnal, 'On the theory of space-time codes for PSK modulation,' IEEE Trans. Inform Theory, vol. 46, no. 2, pp. 524-542, Mar. 2000   DOI   ScienceOn
12 S. Baro, G. Bauch, and A. Hansmann, 'Improved codes for space-time trellis-coded modulation,' IEEE Commun Lett, vol. 4, no. 1, pp, 20-22, Jan. 2000   DOI   ScienceOn
13 Q. Yan and R. S. Blum, 'Optimum space-time convolutional codes,' in Proc. IEEE WCNC, pp. 1351-1355, Chicago, IL, U.S.A, Sept. 2000   DOI
14 M. Tao and R. S. Cheng, 'Improved design criteria and new trellis codes for space-time coded modulation in slow flat fading channels,' IEEE Commun Lett., vol. 5, no. 7, pp. 313-315, July 2000   DOI   ScienceOn
15 W. Firmanto, B. S. Vucetic, and J. Yuan, 'Space-time TCM with improved performance on fast fading channels,' IEEE Commun Lett., vol. 5, no. 4, pp. 154-156, Apr. 2001   DOI   ScienceOn
16 G. Zhou, Y. Wang, Z. Zhang, and K M. Chugg, 'On space-time convolutional codes for PSK modulation,' in Proc. IEEE ICC 2001, 1122-1126, Helsinki, Finland, June 2001   DOI
17 D. Aktas and M. P. Fitz, 'Computing the distance spectrum of space-time trellis codes,' in Proc. IEEE WCNC 2000, pp. 51-55, Chicago, IL, U.S.A., Sept. 2000   DOI