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On the optimum design of space-time linear-dispersion codes
Journal article   Peer reviewed

On the optimum design of space-time linear-dispersion codes

J B Wang, X D Wang and M Madihian
IEEE transactions on wireless communications, v 4(6), pp 2928-2938
01 Nov 2005

Abstract

Engineering Engineering, Electrical & Electronic Science & Technology Technology Telecommunications
In this paper, we propose to design linear-dispersion (LD) codes by minimizing the union bound based on the exact pairwise error probability (PEP). We find that the original programming is not convex, and we present a convex relaxation to the optimization problem. We employ the gradient descent methods to numerically search the optimum dispersion matrices. Simulation results show that codes optimized by the new criterion generally outperform the codes designed based on algebraic number theory. When the knowledge of spatial-fading correlation is available in advance for the design, significant gain relative to the codes designed without knowledge of channel correlation can be achieved by taking into account the correlation structure while performing the optimization. We demonstrate how to exploit knowledge of transmit and receive correlation in designing the LD codes. Numerical and simulation examples show that knowledge of transmit correlation has a large impact on the optimum performance of the LD codes. Furthermore, additional gain can be achieved from the knowledge of receive correlation.

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Web of Science research areas
Engineering, Electrical & Electronic
Telecommunications
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