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.I...