Latency Analysis for Sequential Detection in Low-Complexity Binary Radio Systems
Latency Analysis for Sequential Detection in Low-Complexity Binary Radio Systems
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DOI：
10.1109/tcomm.2019.2946309
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发表时间：
2019-05
影响因子：
8.3
通讯作者：
M. Stein;Michael Fauss
中科院分区：
文献类型：
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作者：
M. Stein;Michael Fauss
我们考虑快速决策以支持两种可能的物理信号模型之一的问题，同时通过具有最小数字化复杂性的传感设备获取数值测量结果。因此，可用于统计处理的数字数据流是二进制的，并且表现出时间和空间依赖性。为了处理棘手的多元二元数据模型，我们首先考虑指数族分布的顺序检验。在这个通用概率框架内，我们确定了对数似然比和 Kullback-Leibler 散度的自适应近似。结果允许为二进制无线电系统设计顺序检测器，并根据 Wald 的经典论证分析它们的平均运行时间。特别是，派生的测试利用了刻入二进制测量值的模拟传感器信号的时空相关结构。作为一种应用，我们考虑用于认知无线电和 GNSS 频谱监控的二进制传感架构规范，其中我们的结果将顺序检测延迟描述为时间过采样和天线数量的函数。最后，我们评估所提出算法的效率，并通过蒙特卡罗模拟说明我们分析的准确性。
We consider the problem of making a quick decision in favor of one of two possible physical signal models while the numerical measurements are acquired by sensing devices featuring minimal digitization complexity. Therefore, the digital data streams available for statistical processing are binary and exhibit temporal and spatial dependencies. To handle the intractable multivariate binary data model, we first consider sequential tests for exponential family distributions. Within this generic probabilistic framework, we identify adaptive approximations for the log-likelihood ratio and the Kullback-Leibler divergence. The results allow designing sequential detectors for binary radio systems and analyzing their average run-time along classical arguments of Wald. In particular, the derived tests exploit the spatio-temporal correlation structure of the analog sensor signals engraved into the binary measurements. As an application, we consider the specification of binary sensing architectures for cognitive radio and GNSS spectrum monitoring where our results characterize the sequential detection latency as a function of the temporal oversampling and the number of antennas. Finally, we evaluate the efficiency of the proposed algorithms and illustrate the accuracy of our analysis via Monte-Carlo simulations.