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首页> 外文会议>Annual Allerton Conference on Communication, Control, and Computing; 20040929-1001; Monticello,IL(US) >Design of Minimum Error-rate Space-time Codes via Stochastic Approximation
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Design of Minimum Error-rate Space-time Codes via Stochastic Approximation

机译：基于随机近似的最小误码率时空码设计

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摘要

Linear dispersion (LD) codes are a good candidate for high data rate MIMO signaling. Traditionally LD codes were designed by maximizing the average mutual information, which cannot guarantee good error performance. This paper presents a design scheme for LD codes that directly minimizes bit/block error probability in (possibly spatially correlated) fading MIMO channels with an arbitrary receiver. For MIMO systems employing LD codes, the bit or block error probability does not admit an explicit form. Therefore, we can not use deterministic optimization methods to design the LD codes with minimum error rate. In this work, we propose a simulation-based optimization methodology for the design of LD codes through stochastic approximation and simulation-based gradient estimation. The gradient estimation is done using the score function method originally developed in the discrete event system community. The proposed method can be applied to design the minimum error-rate LD codes for a variety of decoder structures including the maximum likelihood decoder and various suboptimal decoders. It can also take into account the knowledge of spatial fading correlation at the transmitter and receiver ends. Simulation results show that codes generated by the new algorithm generally outperform the codes designed based on algebraic number theory.
机译：线性色散（LD）码是高数据速率MIMO信令的理想候选者。传统上，LD代码是通过最大化平均互信息来设计的，这不能保证良好的错误性能。本文提出了一种用于LD码的设计方案，该方案可通过任意接收器直接最小化（可能在空间上相关的）衰落MIMO信道中的位/块错误概率。对于采用LD码的MIMO系统，误码或误码概率不允许采用显式形式。因此，我们不能使用确定性优化方法来设计具有最小错误率的LD码。在这项工作中，我们提出了一种通过随机逼近和基于仿真的梯度估计来设计LD代码的基于仿真的优化方法。梯度估计是使用最初在离散事件系统社区中开发的得分函数方法完成的。所提出的方法可以应用于设计用于包括最大似然解码器和各种次优解码器的各种解码器结构的最小错误率LD码。它还可以考虑在发射机和接收机端的空间衰落相关性的知识。仿真结果表明，新算法生成的代码总体上优于基于代数数论设计的代码。

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