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文中针对IEEE 802.15.3a信道下UWB能量检测系统的“检测窗口内多径能量和的概率密度求解”与“捕获性能指标计算的平均方式”两个理论问题,以簇生点过程描述检测窗口内的随机变量,给出多径能量和均值及方差的闭合解,并以对数正态分布近似其概率密度,推导出捕获命中集的闭合表达式.同时分别基于“检测概率平均”和“信道样本平均”两种方式,结合Markov链和信号流图推导出信号捕获的平均性能指标,并深入分析了两种平均方式的适用条件.实验结果表明,点过程模型的命中集在不同信道条件的两种平均方式下都具有较好的适用性;不同的平均方式下捕获性能具有明显差别,需要针对系统应用背景加以区分使用.
Aiming at the two theoretical problems of the UWB energy detection system in the IEEE 802.15.3a channel, such as “solving multipath energy and probability density in detection window” and “average method of calculating acquisition performance index” The random variables in the window are detected to give the closed-form solution of multipath energy and mean and variance, and the closed-form expression of the captured hit set is derived by approximating its probability density with a logarithmic normal distribution.At the same time, “And ” Channel Sample Average ", combining with Markov chain and signal flow diagram, the average performance of signal acquisition is deduced and the applicable conditions of two averaging methods are analyzed in depth.The experimental results show that Hit sets have better applicability under the two averaging methods of different channel conditions. There are obvious differences in capturing performance under different averaging methods, which need to be differentiated according to the system application background.