To deal with the uncertain relationship between random variables and harmonic spectrum in existing random pulsewidth modulation (PWM), this article links the uniformly distributed random carrier sequence probabilistic parameters with harmonic distributed in the frequency domain, offers an approach to selecting a random carrier sequence. Based on random slope PWM, the formula for 3-dB bandwidth of harmonic power spectrum is deduced. Then, some useful conclusions are also drawn under random carrier sequence obeying uniform distribution. The 3-dB bandwidth formula leads to a method of selecting the main probability statistical parameters. The method has laid a theoretical foundation for the design and selection of random variables in random PWM, provided a scientific reference for the study of random PWM technology, which is used to reduce electromagnetic interference and mechanical vibration.

中文翻译：

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基于均匀分布的随机斜率PWM概率统计参数的表征与选取

针对现有随机脉宽调制(PWM)中随机变量与谐波频谱之间的不确定关系，本文将均匀分布的随机载波序列概率参数与频域分布的谐波联系起来，提供了一种随机载波序列的选择方法。基于随机斜率PWM，推导了谐波功率谱3dB带宽的计算公式。然后，在服从均匀分布的随机载波序列下也得出了一些有用的结论。3-dB 带宽公式导致了一种选择主要概率统计参数的方法。该方法为随机PWM中随机变量的设计和选择奠定了理论基础，为随机PWM技术的研究提供了科学参考，