基于压缩感知的旋转声源多普勒效应消除方法

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摘要消除旋转声源的多普勒效应是监测旋转机械工作状态和定位旋转声源的前提。当前用于消除旋转声源多普勒效应的方法分为频域和时域两种，但是这两种方法都需要在周向均匀布置大量传声器，这不仅增加了测量成本，而且增加了测量工作量。针对上述问题本文提出了一种基于压缩感知的多普勒效应消除方法，该方法通过在周向随机布置少量传声器完成周向模态幅值的重构，并根据静止柱坐标系与随声源同步旋转的旋转柱坐标系之间的相对运动关系完成多普勒效应的消除。数值仿真和实验研究都表明采用较少传声器随机布置的方法同基于采样定理均匀布置传声器的方法在消除多普勒效应的效果上基本一致，且本文所提方法可有效降低测量成本和测量工作量。

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	张小正
	李银龙
	张永斌
	毕传兴

关键词 ：旋转声源, 多普勒效应, 压缩感知旋转声源, 多普勒效应, 压缩感知

Abstract：Eliminating the Doppler effect of rotating sound sources is the prerequisite for monitoring the working status of rotating machinery and locating the rotating sound sources. The current methods used to eliminate the Doppler effect of rotating sound sources include the frequency-domain method and the time-domain method. However, these methods need to arrange a lot of microphones in the circumferential direction and meet the law of uniform distribution, which not only increases the economic cost, but also raise the measurement loads. In order to solve the deficiencies of those methods, this paper proposes a de-Dopplerization method based on compressed sensing. It achieves the reconstruction of the mode amplitude by randomly arranging fewer microphones in the circumferential direction. Then, the Doppler effect is eliminated according to the relationship of relative motion between the stationary cylindrical coordinate system and the rotating cylindrical coordinate system that rotates synchronously with the sound sources. Numerical simulation and experiments demonstrate that the method of randomly arranging fewer microphones is basically similar to the method of evenly arranging the microphones based on the sampling theorem in eliminating the Doppler effect, and the proposed method can decrease both the measurement cost and loads.

Key words： rotating sound sources Doppler effect compressed sensing

收稿日期: 2020-12-14 出版日期: 2022-06-15

引用本文:

张小正，李银龙，张永斌，毕传兴. 基于压缩感知的旋转声源多普勒效应消除方法[J]. 振动与冲击, 2022, 41(11): 245-251.
ZHANG Xiaozheng, LI Yinlong, ZHANG Yongbin, BI Chuanxing. Doppler effect elimination method of rotating sound source based on compressed sensing. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(11): 245-251.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I11/245

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