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浙江大学学报(工学版)  2026, Vol. 60 Issue (10): 2287-2298    DOI: 10.3785/j.issn.1008-973X.2026.10.020
机械工程、能源工程     
基于遍历加权包络谱的推进器调制线谱提取方法
伍柯霖1(),孙宇航1,徐佳峰1,童威棋1,董攀1,2,吴大转1,*()
1. 浙江大学 能源工程学院,浙江 杭州 310027
2. 中石化国际事业宁波有限公司,浙江 宁波 315040
Extraction method of modulation frequencies of propulsor based on traversal weighted envelope spectrum
Kelin WU1(),Yuhang SUN1,Jiafeng XU1,Weiqi TONG1,Pan DONG1,2,Dazhuan WU1,*()
1. College of Energy Engineering, Zhejiang University, Hangzhou 310027, China
2. SINOPEC International (Ningbo) Co. Ltd, Ningbo 315040, China
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摘要:

水下目标被动声学探测场景中的实测声信号的信噪比低,推进噪声调制线谱的提取受到阻碍. 为此,提出针对叶片式水下推进器调制线谱提取的增强解调方法——遍历加权包络谱(TWES). 建立叶片式水下推进器辐射噪声的循环平稳信号模型,推导其循环平稳特征;提出频域相关峭度指标,构造依赖于轴频先验信息的加权函数;构建适用于有轴频先验信息场景下的遍历加权包络谱. 仿真分析结果表明,本研究方法能在信噪比低至?16 dB的情况下提取到调制线谱,且在不同信噪比下的解调性能均优于对比方法;泵喷推进器和螺旋桨的辐射噪声数据分析结果表明,本研究所提方法可在强烈噪声干扰下提取推进器轴叶频调制线谱,对轴叶频的解调检测能力优于传统解调方法和前沿解调方法.

关键词: 推进器被动声学探测循环平稳分析窄带包络解调谱相关包络谱    
Abstract:

Capturing characteristic modulation frequencies of propulsor noise can be challenging, as the actual acoustic signals in the scenario of passive acoustic detection exhibit extremely low signal-to-noise ratios. To tackle this challenge, an enhanced demodulation method, the Traversal Weighted Envelope Spectrum (TWES), was proposed, tailored for extracting the modulation frequencies of blade-type marine propulsor noise. First, the cyclostationary model for blade-type marine propulsor noise was established, and its cyclostationary signature was derived in detail. Then, the indicator Frequency-domain Correlated Kurtosis (FCK) was proposed, and a weighting function relying on prior knowledge of shaft frequency was constructed. Ultimately, the TWES was constructed for situations with prior knowledge of shaft frequency. Simulation results showed that the proposed TWES showed better demodulation performance than other benchmark methods even in the situation of SNR=?16 dB. The demodulation detection capability of TWES under low SNR levels was validated by experimental data from the pump jet and the propeller. The comparison with the classical demodulation methods and state-of-the-art demodulation methods further verified the superiority of the proposed TWES.

Key words: propulsor noise    passive acoustic detection    cyclostationary analysis    narrowband envelope demodulation    spectral correlation    envelope spectrum
收稿日期: 2025-07-10 出版日期: 2026-07-29
CLC:  TB 535  
基金资助: 国家自然科学基金资助项目(52406058,U2341242,U23B20107).
通讯作者: 吴大转     E-mail: wukelin@zju.edu.cn;wudazhuan@zju.edu.cn
作者简介: 伍柯霖(1994—),男,助理研究员,博士,从事特种流体机械智能运维研究. orcid.org/0000-0002-8342-5930. E-mail:wukelin@zju.edu.cn
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引用本文:

伍柯霖,孙宇航,徐佳峰,童威棋,董攀,吴大转. 基于遍历加权包络谱的推进器调制线谱提取方法[J]. 浙江大学学报(工学版), 2026, 60(10): 2287-2298.

Kelin WU,Yuhang SUN,Jiafeng XU,Weiqi TONG,Pan DONG,Dazhuan WU. Extraction method of modulation frequencies of propulsor based on traversal weighted envelope spectrum. Journal of ZheJiang University (Engineering Science), 2026, 60(10): 2287-2298.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.10.020        https://www.zjujournals.com/eng/CN/Y2026/V60/I10/2287

图 1  推进噪声循环平稳特性的示意图
参数取值
1) 注:3 500~6 000 Hz和14 000~16 500 Hz为二阶循环平稳成分所在的频带,7 500~12 500 Hz为二阶循环平稳噪声所在的频带,高斯白噪声分布在全频带范围内
采样频率$ F_{{\mathrm{s}}} $/kHz40
轴频$ {f}_{\text{SF}} $/Hz21
轴频谐波最高阶次$ i $10
叶频$ {f}_{\text{BPF}} $/Hz147
叶频谐波最高阶次$ j $10
载波$ v(t) $信号功率/dB40
载波$ v(t) $频率范围/Hz3 500~6 000,
14 000~16 5001)
幅值$ A_{i} $, $ A_{j} $1
相位$ \phi_{i} $, $ \phi_{j} $0
噪声调制频率$ \alpha_{N} $/Hz50
噪声谐波最高阶次$ k $18
噪声载波$ v_{N}(t) $信号功率/dB45
噪声载波$ v_{N}(t) $频率范围/Hz7 500~12 500
幅值$ B_{k} $1
相位$ \varphi_{k} $0
冲击个数5
冲击时长/s0.1
冲击频率范围/Hz5 000~10 000
表 1  仿真信号参数设置
图 2  自适应阈值曲线构造过程
图 3  仿真信号的解调频带选择结果
图 4  仿真信号的解调分析结果
图 5  基于蒙特卡洛模拟的解调性能评价与对比
设计参数数值
额定转速/(r·min?1)1 260
设计进速系数0.79
设计流速/(m·s?1)3.17
叶轮直径/m0.2
叶轮叶片数7
导叶叶片数11
表 2  泵喷推进器设计参数
图 6  泵喷推进器辐射噪声的解调分析结果(转速为1260 r/min)
图 7  水下航行器的湖试实验示意图
参数数值
工作频率/Hz20~20 000
接收灵敏度/dB?185±1
前置放大器增益/dB26
最大操作水深/m700
表 3  水听器性能参数
参数数值
通道数量2
最大采样频率/Hz102 400
幅值精度±0.025%(23 ℃, ±5 ℃)
通道匹配幅值<±0.065 dB, 相位<0.11°
工作温度范围/℃?40~70
耦合方式IEPE, TEDS, DC单端,DC差分,AC单端,AC差分
表 4  数据采集仪性能参数
图 8  推进器水声信号的解调分析结果(转速为768 r/min)
方法次数CNR
FK EESEESIESTWES
第1次测试0.710.810.732.47
第2次测试0.850.860.851.85
第3次测试0.730.790.701.22
表 5  不同解调方法对于轴叶频及其谐波的检测能力对比
图 9  推进器水声信号的解调分析结果(转速为1150 r/min)
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