高斯多址信道中有界传输的分布式估计与检测
Distributed Estimation and Detection with Bounded Transmissions over Gaussian Multiple Access Channels
摘要：
分布式推理计划，它使用有界传输函数在高斯多址信道被认为是。当传感器测量作为传感器指数的函数可靠性递减时，表征了在其下一致估计和可靠检测是可能的传输函数上的条件。对于分布估计问题，在噪声样本方差有界且传递函数为一对一的条件下，证明了使用有界传递函数的估计方案是强相合的.所提出的估计方案相比，放大和转发技术和其鲁棒性的脉冲传感噪声分布突出。放大和转发方案相比，它也表明，有界传输遭受不一致的估计，如果感测噪声方差趋于无穷大。对于分布式检测问题，通过研究偏转系数也得到了类似的结果。模拟证实了我们的分析结果。
英文摘要：
A distributed inference scheme which uses bounded transmission functions over a Gaussian multiple access channel is considered. When the sensor measurements are decreasingly reliable as a function of the sensor index, the conditions on the transmission functions under which consistent estimation and reliable detection are possible is characterized. For the distributed estimation problem, an estimation scheme that uses bounded transmission functions is proved to be strongly consistent provided that the variance of the noise samples are bounded and that the transmission function is one-to-one. The proposed estimation scheme is compared with the amplify-and-forward technique and its robustness to impulsive sensing noise distributions is highlighted. In contrast to amplify-and-forward schemes, it is also shown that bounded transmissions suffer from inconsistent estimates if the sensing noise variance goes to infinity. For the distributed detection problem, similar results are obtained by studying the deflection coefficient. Simulations corroborate our analytical results.
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