计算机工程与设计
計算機工程與設計
계산궤공정여설계
COMPUTER ENGINEERING AND DESIGN
2015年
2期
401-405
,共5页
经验模式分解%张力格林样条插值%三次样条插值%过冲%均值曲线
經驗模式分解%張力格林樣條插值%三次樣條插值%過遲%均值麯線
경험모식분해%장력격림양조삽치%삼차양조삽치%과충%균치곡선
empirical mode decomposition%Green’s spline interpolation in tension%cubic spline interpolation%overshoot%mean curve
经典经验模式分解采用三次样条插值方法求取信号的均值曲线，其存在较严重的过冲现象，造成最终的分解误差较大。针对上述问题，提出一种基于张力格林样条的均值曲线插值方法。以相邻极值点的中点为插值节点，采用张力格林样条插值直接获得信号的均值曲线。实验结果表明，该方法在保证插值曲线光滑性的基础上，可以消除三次样条在插值节点间出现的过分振荡现象，一定程度上克服过冲问题，基于极值中点的一次插值能进一步降低信号分解的误差。
經典經驗模式分解採用三次樣條插值方法求取信號的均值麯線，其存在較嚴重的過遲現象，造成最終的分解誤差較大。針對上述問題，提齣一種基于張力格林樣條的均值麯線插值方法。以相鄰極值點的中點為插值節點，採用張力格林樣條插值直接穫得信號的均值麯線。實驗結果錶明，該方法在保證插值麯線光滑性的基礎上，可以消除三次樣條在插值節點間齣現的過分振盪現象，一定程度上剋服過遲問題，基于極值中點的一次插值能進一步降低信號分解的誤差。
경전경험모식분해채용삼차양조삽치방법구취신호적균치곡선，기존재교엄중적과충현상，조성최종적분해오차교대。침대상술문제，제출일충기우장력격림양조적균치곡선삽치방법。이상린겁치점적중점위삽치절점，채용장력격림양조삽치직접획득신호적균치곡선。실험결과표명，해방법재보증삽치곡선광활성적기출상，가이소제삼차양조재삽치절점간출현적과분진탕현상，일정정도상극복과충문제，기우겁치중점적일차삽치능진일보강저신호분해적오차。
In the classic EMD,the mean curves are obtained using cubic spline interpolation.However,serious overshoots may often occur,and the decomposition errors are large in the final.In response to these problems,an interpolation method of the mean curve was proposed based on the Green’s spline in tension.The midpoints of the adj acent extreme points were used as in-terpolation nodes,and the mean curve was obtained using Green’s spline interpolation in tension.Experimental results show that excessive oscillation of cubic spline between the interpolation nodes can be eliminated without deteriorating the smoothness of the interpolation curve,and serious overshoots disappear to some extent.Moreover,the decomposition errors of signals can be fur-ther reduced using one interpolation based on the midpoints of extremes.
