中国科学技术大学学报
中國科學技術大學學報
중국과학기술대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
2014年
9期
786-792
,共7页
经验模态分解%端点效应%局部多项式
經驗模態分解%耑點效應%跼部多項式
경험모태분해%단점효응%국부다항식
EMD%end effect%local polynomial regression
Hilbert-Huang 变换(Hilbert-Huang transform ,HHT )这种完全由数据驱动的自适应时频数据分析算法已经在多个领域得到了广泛推广和应用。但是 HHT 的核心部分经验模态分解(empirical mode decomposition ,EMD)被端点效应问题所困扰。这里结合局部多项式回归,利用局部少量数据在极值序列两端各拓展一个极值点,从而抑制 EMD 的端点效应。模拟实验结果表明,该算法能够有效抑制端点效应,且数据要求不高,运行速度较快。
Hilbert-Huang 變換(Hilbert-Huang transform ,HHT )這種完全由數據驅動的自適應時頻數據分析算法已經在多箇領域得到瞭廣汎推廣和應用。但是 HHT 的覈心部分經驗模態分解(empirical mode decomposition ,EMD)被耑點效應問題所睏擾。這裏結閤跼部多項式迴歸,利用跼部少量數據在極值序列兩耑各拓展一箇極值點,從而抑製 EMD 的耑點效應。模擬實驗結果錶明,該算法能夠有效抑製耑點效應,且數據要求不高,運行速度較快。
Hilbert-Huang 변환(Hilbert-Huang transform ,HHT )저충완전유수거구동적자괄응시빈수거분석산법이경재다개영역득도료엄범추엄화응용。단시 HHT 적핵심부분경험모태분해(empirical mode decomposition ,EMD)피단점효응문제소곤우。저리결합국부다항식회귀,이용국부소량수거재겁치서렬량단각탁전일개겁치점,종이억제 EMD 적단점효응。모의실험결과표명,해산법능구유효억제단점효응,차수거요구불고,운행속도교쾌。
Hilbert-Huang transform (HHT ) is a completely data-driven adaptive algorithm for analyzing time-frequency data .HHT has been widely used in many areas .However ,as a core part of the HHT , empirical mode decomposition (EMD ) is still negatively affected by end effect . Based on the local polynomial regression (LPR) ,one extreme point was added to each of extreme series by few local data to suppress the end effect of EMD .The simulation results show that the LPR-EMD is a practical algorithm that can effectively restrain the end effect and have less constrain on the data and run faster .