相关实验视频
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在采样I/Q数据中的白高斯噪声预期峰值与平均功率比
Adam Wunderlich1, Aric Sanders1
1Communications Technology Laboratory, National Institute of Standards and Technology, Boulder, Colorado, 80305 USA.
概括
研究人员得出了射频 (RF) 信号中平均峰值与平均功率比率 (PAPR) 的准确公式,使用样本数和欧勒常数进行近似计算. 这项工作有助于在射频排放中验证白色高斯噪声 (WGN).
科学领域:
- 电气工程 电气工程
- 信号处理 信号处理
- 计量学 计量学 计量学
背景情况:
- 无线电频率 (RF) 计量经常涉及信号功率测量.
- 估计峰值与平均功率比率 (PAPR) 对于量化信号功率动态至关重要.
- 了解信号特征,如白色高斯噪声 (WGN),对于准确的射频测量至关重要.
研究的目的:
- 导出一个闭式的,准确的公式,用于离散时间基带相位和正方形 (I/Q) 白高斯噪声 (WGN) 样本的平均PAPR.
- 为平均峰值因子提供理论结果.
- 分析由于违反WGN假设而导致的PAPR偏差,并展示光谱分析的实际应用.
主要方法:
- 对于离散时间 I/Q WGN 样本的平均 PAPR 的封闭式公式的推导.
- 使用样本数和欧勒常数的自然对数来近似平均PAPR.
- 推导式与现有的近似公式进行比较,并分析了违反WGN假设的情况.
主要成果:
- 获得了平均PAPR的准确公式,该公式很好地通过ln(N) + γ来近似,其中N是样本的数量, γ是欧勒常数.
- 获得了平均峰值因子的理论结果.
- 在采集的I/Q数据中违反了WGN假设时,检查了与预期的PAPR值的偏差.
结论:
- 该公式为计算WGN信号的平均PAPR提供了一个准确的方法.
- 该研究提供了对非理想条件对PAPR测量的影响的见解.
- 在使用光谱图进行光谱分析时,该公式的应用可以在测量的射频辐射中验证WGN特征.
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