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Updated: Jul 2, 2025

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从随机调制信号生成的数字UPWM信号的频谱分析
Konstantinos Kaleris1,2, Emmanouil Psarakis3, John Mourjopoulos4
1Audio and Acoustic Technology Group, Wire Communications Laboratory, Department of Electrical & Computer Engineering, University of Patras, Rion Campus, 26500, Patras, Greece. kkaleris@upnet.gr.
Scientific reports
|February 22, 2024
概括
这项研究表明,统一采样脉冲宽度调制 (UPWM) 信号的离散里叶变换 (DFT) 可以仅使用输入信号统计来估计. 这简化了UPWM对随机输入的信号分析.
科学领域:
- 信号处理 信号处理
- 随机过程 随机过程
- 里埃分析 里埃分析
背景情况:
- 统一采样脉冲宽度调制 (UPWM) 在信号处理中至关重要.
- 用随机输入分析UPWM信号的光谱特性是复杂的.
- 现有的方法往往需要大量的数据或计算资源.
研究的目的:
- 开发一种方法,从输入信号统计数据直接估计UPWM信号的离散里埃变换 (DFT).
- 为了证明统计信息足以准确地对UPWM信号进行DFT估计.
- 为分析和设计具有已知的输入属性的UPWM系统提供一个框架.
主要方法:
- 使用独立且相同分布的随机变量的ergodic输入序列.
- 证明DFT估计器从时间窗口输入信号观测得出的一致性.
- 为参数定义的概率密度函数开发具有线性复杂性的DFT系数的闭式表达式.
主要成果:
- 仅从输入信号统计数据可以准确估计UPWM信号的DFT.
- 通过时间窗口观测获得一致的DFT估计值.
- 对于具有简单概括概率密度函数的信号,可以实现线性复杂性估计.
- 通过与快里叶变换 (FFT) 评估进行比较验证.
结论:
- 输入信号的统计性质足以用于UPWM信号的DFT估计.
- 拟议的方法为UPWM信号分析提供了一种计算效率高的方法.
- 这项工作为UPWM系统设计和分析提供了一个强大的数学框架.
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