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Direct-sequence spread-spectrum multiple-access communications with random signature sequences: a large deviations analysis

机译:具有随机签名序列的直接序列扩频多址通信:大偏差分析

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摘要

A direct-sequence spread-spectrum multiple-access bit-error probability analysis is developed using large-deviations theory. Let m denote the number of interfering spread-spectrum signals and let n denote the signature sequence length. Then the large deviations limit is as n to infinity with m fixed. A tight asymptotic expression for the bit-error probability is proven, and in addition, recent large-deviations results with the importance sampling Monte Carlo estimation technique are applied to obtain accurate and computationally efficient estimates of the bit-error probability for finite values of m and n. The large-deviations point of view is compared also to the conventional asymptotics of central limit theory and the associated Gaussian approximation. The Gaussian approximation is accurate and the ratio m is moderately large and all signals have roughly equal power. In the near/far situation, however, the Gaussian approximation is quite poor. In contrast, large-deviations techniques are more accurate in the near/far situation, and it is here that these methods provide some important practical insight.
机译:利用大偏差理论发展了直接序列扩频多址误码概率分析方法。设m表示干扰扩频信号的数量,设n表示签名序列的长度。则大偏差极限为n到无穷大,且m固定。证明了误码概率的紧渐近表达式,此外,最近的重要偏差蒙特卡罗估计技术的大偏差结果被用于获得m有限值的误码概率的准确且计算有效的估计和大偏差的观点也与中心极限理论的常规渐近线和相关的高斯近似进行了比较。高斯近似准确,m / n之比适中,所有信号的功率大致相等。但是,在近/远情况下,高斯近似值非常差。相反,大偏差技术在近/远情况下更为准确,并且在这里,这些方法提供了一些重要的实践见解。

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