（浙江師范大學精密機械研究所，浙江 金華 321004）
摘  要：針對傳統小波脊線提取方法對密集脊線的提取存在著分辨率不足等缺點，提出一種基于相位法的密集小波公共脊線提取方法。通過分析密集單頻疊加信號和密集調頻疊加信號的小波公共脊線的相位特點，利用小波脊線的相位法來提取信號的公共脊線。仿真算例結果表明：該方法能有效地提取出密集小波公共脊線，且方法簡單、準確，具有較快的收斂性。將其應用于實際齒輪箱故障分析中，能有效地提取故障特征，診斷出齒輪箱故障。
中圖分類號：HT165.3；TP277；TN911.2；TP301.6      文獻標志碼：A       文章編號：1674-5124（2013）03-0001-05
Closely wavelet common ridge extraction method based on phase extraction
JIANG Yong-hua， MO Xiao-qiang， YOU Jia-yi， SHEN Meng-jie， SHEN Feng-liang
（Institute of Precision Machinery，Zhejiang Normal University，Jinhua 321004，China）
Abstract: In order to improve the precision of closely wavelet ridge extracted by conventional method， a new method for extracting closely wavelet common ridge based on phase extraction is proposed. The common-ridge phase characteristics of close single frequency signals and frequency modulated signals are fully analyzed， then a common ridge extraction method is put forward based on phase extraction， and finally the problems in signal reconstruction is solved. The proposed method is simple， accurate and with rapid convergence. The results of simulation example show that the proposed method is feasible and effective. Finally， the result of gearbox analysis shows that this method can extract fault characteristics of gearbox effectively.
Key words: wavelet ridge； phase method； closely ridge； wavelet transform