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Nonparametric distributed sequential detection via universal source coding

机译:通过通用源编码进行非参数分布式顺序检测

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We consider nonparametric or universal sequential hypothesis testing when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution. These algorithms are primarily motivated from spectrum sensing in Cognitive Radios and intruder detection in wireless sensor networks. We use easily implementable universal lossless source codes to propose simple algorithms for such a setup. The algorithms are first proposed for discrete alphabet. Their performance and asymptotic properties are studied theoretically. Later these are extended to continuous alphabets. Their performance with two well known universal source codes, Lempel-Ziv code and KT-estimator with Arithmetic Encoder are compared. These algorithms are also compared with the tests using various other nonparametric estimators. Finally a decentralized version utilizing spatial diversity is also proposed and analysed.
机译:当零假设下的分布是完全已知的,但替代假设对应于其他一些未知分布时,我们考虑进行非参数或通用顺序假设检验。这些算法主要来自认知无线电中的频谱感应和无线传感器网络中的入侵者检测。我们使用易于实现的通用无损源代码为这种设置提出简单的算法。该算法首先针对离散字母提出。从理论上研究了它们的性能和渐近性质。后来这些扩展为连续字母。比较了它们与两个众所周知的通用源代码(Lempel-Ziv代码)和带算术编码器的KT估计器的性能。这些算法也与使用其他各种非参数估计量的测试进行了比较。最后,还提出并分析了利用空间多样性的分散版本。

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