We propose a non-coherent ultra-wideband (UWB) receiver that leverages a single-sample-per-pulse threshold approach to detect the transmitted symbol and is capable of mitigating the impact of impulse noise. Unlike classical detectors, the proposed receiver does not aim for the peak ( $1^{st}$ -order) sample, rather it selects the optimal $\ell ^{th}$ -order one over the samples of a single pulse. We derive the error probability both under additive white Gaussian noise, for which a closed-form expression is obtained, and under the IEEE 802.15.4a channel model. We also conduct extensive simulations and show that the proposed solution significantly outperforms both single peak and energy detection UWB receivers in the presence of impulse noise.

中文翻译：

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基于阶次统计的超宽带接收机设计

我们提出了一种非相干超宽带 (UWB) 接收器，它利用每脉冲单样本阈值方法来检测传输的符号，并能够减轻脉冲噪声的影响。与经典检测器不同，所提出的接收器并不针对峰值（ $1^{st}$ -order) 样本，而是选择最优 $\ell ^{th}$ - 对单个脉冲的样本进行排序。我们在加性高斯白噪声下和在 IEEE 802.15.4a 信道模型下推导出错误概率，获得了封闭形式的表达式。我们还进行了广泛的模拟，并表明在存在脉冲噪声的情况下，所提出的解决方案明显优于单峰和能量检测 UWB 接收器。