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首页> 外文期刊>IEEE Journal on Selected Areas in Communications >Gradient estimation for stochastic optimization of optical code-division multiple-access systems .I. Generalized sensitivity analysis
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Gradient estimation for stochastic optimization of optical code-division multiple-access systems .I. Generalized sensitivity analysis

机译:光码分多址系统随机优化的梯度估计广义敏感性分析

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摘要

For optimizing the performance of optical code-division multiple-access (CDMA) systems, there is a need for determining the sensitivity of the bit-error rate (BER) of the system to various system parameters. Asymptotic approximations and bounds, used for system bit-error probabilities, seldom capture the sensitivities of the system performance. We develop single-run gradient estimation methods for such optical CDMA systems using a discrete-event dynamic systems (DEDS) approach. Specifically, computer-aided techniques such as infinitesimal perturbation analysis (IPA) and likelihood ratio (LR) methods are used for analyzing the sensitivity of the average BER to a wide class of system parameters. It is shown that the above formulation is equally applicable to time-encoded and frequency-encoded systems. Further, the estimates derived are unbiased, and also optimality of the variance of these estimates is shown via the theory of common random variates and importance sampling techniques.
机译:为了优化光码分多址(CDMA)系统的性能,需要确定系统的误码率(BER)对各种系统参数的敏感性。用于系统误码率概率的渐近逼近和界限很少捕获系统性能的敏感性。我们使用离散事件动态系统(DEDS)方法为此类光学CDMA系统开发单次运行梯度估计方法。具体来说,计算机辅助技术,例如无穷微扰动分析(IPA)和似然比(LR)方法,用于分析平均BER对各种系统参数的敏感性。结果表明,上述公式同样适用于时间编码和频率编码的系统。此外,导出的估计是无偏的,并且这些估计的方差的最优性也通过常见随机变量和重要性抽样技术的理论得以显示。

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