中文摘要：

针对齿轮的振动特点，设计了复合过完备时频字典，利用基追踪方法在匹配信号特征结构、直接提取特征信息方面的优势分析了齿轮箱的现场测试振动信号．根据基追踪分解结果，在时频联合域内提取了齿轮局部损伤的周期性冲击特征，识别了齿轮点蚀缺陷．与短时Fourier变换和小波变换等时频分析方法进行了对比分析，验证了基追踪检测齿轮损伤的有效性．

英文摘要：

Regarding the characteristics of gear vibration, a compound over-complete time-frequency dictionary was designed. Basis pursuit, which is effective in matching the characteristic structure of signals globally and extracting the time-frequency information directly, was employed to analyze the vibration signals of both a healthy gearbox and a faulty one. Periodic impacts characterizing the vibration of localized damaged gears were extracted in the joint time-frequency domain, and gear tooth pitting was identified. In comparison with traditional time-frequency analysis methods, such as short time Fourier transform and wavelet transform, basis pursuit is effective in detecting gear damage.