Performance evaluation of super-orthogonal space-time trellis codes using a moment generating function-based approach

A new class of space-time codes called super-orthogonal trellis codes was introduced that combine set-partitioning with a super set of orthogonal space-time block codes in such a way as to provide full diversity with increased rate and improved coding gain over previous space-time trellis code (STTC) constructions. Here, we extend the moment generating function-based method, which was previously applied to analyzing the performance of space-time block orthogonal and trellis codes, to the above-mentioned super-orthogonal codes. It is shown that the maximum-likelihood metric and expressions for the pairwise error probability previously developed for the Alamouti (1998) space-time block code combined with multidimensional trellis-coded modulation can be readily extended to the super-orthogonal case. As such, the evaluation of the pairwise error probability for the latter can be performed in a similar manner to that previously described with the specific results depending on the particular trellis code design.

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

[2]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[3]  Byeong Gi Lee,et al.  New bounds of pairwise error probability for space-time codes in Rayleigh fading channels , 2002, 2002 IEEE Wireless Communications and Networking Conference Record. WCNC 2002 (Cat. No.02TH8609).

[4]  Michael P. Fitz,et al.  Improved high-rate space-time codes via orthogonality and set partitioning , 2002, 2002 IEEE Wireless Communications and Networking Conference Record. WCNC 2002 (Cat. No.02TH8609).

[5]  Ran Gozali,et al.  Space-Time Codes for High Data Rate Wireless Communications , 2002 .

[6]  Zhiyuan Yan,et al.  Improved 8- and 16-state space-time codes for 4PSK with two transmit antennas , 2001, IEEE Communications Letters.

[7]  Dariush Divsalar,et al.  Introduction to Trellis-Coded Modulation With Applications , 1991 .

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

[9]  Giorgio Taricco,et al.  Exact pairwise error probability of space-time codes , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[10]  Hamid Jafarkhani,et al.  Super-orthogonal space-time trellis codes , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

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

[12]  Marvin K. Simon.  Evaluation of average bit error probability for space-time coding based on a simpler exact evaluation of pairwise error probability , 2001, Journal of Communications and Networks.

[13]  J. Craig.  A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations , 1991, MILCOM 91 - Conference record.

[14]  G. Turin.  The characteristic function of Hermitian quadratic forms in complex normal variables , 1960 .