EMD改進(jìn)方法研究及其在燃?xì)廨啓C(jī)工頻特征提取中的應(yīng)用
中國測試崔心瀚1，2， 馬立元1， 魏忠林1， 李世龍1， 王天輝1
摘 要：為抑制經(jīng)驗(yàn)?zāi)B(tài)分解（empirical mode decomposition，EMD）處理過程中的端點(diǎn)效應(yīng)，在整理和研究現(xiàn)有方法的基礎(chǔ)上，提出一種鏡像延拓和極值平移相結(jié)合的端點(diǎn)處理方法，在最大程度地融合兩種傳統(tǒng)方法優(yōu)點(diǎn)的同時盡可能地還原信號邊界特征。該方法通過構(gòu)造特征平行四邊形使延拓極值處于理想?yún)^(qū)域，從而避免三次樣條差值過程中包絡(luò)線與信號交叉的產(chǎn)生，并引入Blackman窗函數(shù)對延拓信號進(jìn)行邊界處理，進(jìn)而有效地控制延拓誤差影響。經(jīng)過仿真信號驗(yàn)證與實(shí)測信號分析，對比鏡像延拓、極值平移與加窗邊界處理方法的端點(diǎn)抑制效果，證明該改進(jìn)方法能有效地抑制分解過程中出現(xiàn)的端點(diǎn)效應(yīng)，并能在高頻噪聲干擾下較完整地提取低頻信息，為燃?xì)廨啓C(jī)工頻特征的獲取提供可靠的保證。
關(guān)鍵詞：經(jīng)驗(yàn)?zāi)B(tài)分解；端點(diǎn)效應(yīng)；鏡像延拓；極值平移；Blackman窗函數(shù)
文獻(xiàn)標(biāo)志碼：A 文章編號：1674-5124（2016）01-0107-07
Improved EMD and its applications in gas turbine power frequency extraction
CUI Xinhan1，2， MA Liyuan1， WEI Zhonglin1， LI Shilong1， WANG Tianhui1
（1. The 4th Department，Ordnance Engineering College，Shijiazhuang 050003，China；
2. Baicheng Ordnance Test Center，Baicheng 137001，China）
Abstract: In order to dispose the end effect during empirical mode decomposition （EMD）， there comes the improved EMD. The treatment of end effect decides the extraction of signal time-frequency characteristics. based on the study of current approaches， an effective method has been proposed in combination with mirror extension and extreme point shifting. The new method comprises the merits of the two traditional approaches and serves as the maximum restoration of signal boundary characteristics. A characteristics parallelogram has been constructed to circumscribe the prolongation extremum within an ideal region， thus preventing the envelope curve from intersecting with the signal during the process of cubic spline interpolation. Blackman window function has been introduced to dispose the extended signal boundary so as to control the influence of prolongation errors. The simulation test and actual measurement show that the method can effectively restrain end diffusion and completely extract low frequency information under the interference of high-frequency noise， compared to mirror extension， extreme point shifting and windowing boundary treatment.
Keywords: EMD; end effect； mirror extension； extreme point shifting； Blackman window function
