计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2009年
33期
120-121,137
,共3页
混沌%相空间重构%嵌入延迟矢量%嵌入维数
混沌%相空間重構%嵌入延遲矢量%嵌入維數
혼돈%상공간중구%감입연지시량%감입유수
chaos%phase space reconstruction%embedding delay vector%embedding dimension
对文献[5] 提出的Cao方法进行了改进,提出一种新的多嵌入延迟相空间重构方法,不仅能够判断最小嵌入维数,还能够确定最佳时间延迟矢量.Cao方法的应用领域得以扩展,使得相空间重构问题可以在一个判断标准下完成.数值仿真结果表明,该改进方法在处理包含多个强烈周期成分的信号时比目前常用的单一嵌入延迟方法有明显优势.
對文獻[5] 提齣的Cao方法進行瞭改進,提齣一種新的多嵌入延遲相空間重構方法,不僅能夠判斷最小嵌入維數,還能夠確定最佳時間延遲矢量.Cao方法的應用領域得以擴展,使得相空間重構問題可以在一箇判斷標準下完成.數值倣真結果錶明,該改進方法在處理包含多箇彊烈週期成分的信號時比目前常用的單一嵌入延遲方法有明顯優勢.
대문헌[5] 제출적Cao방법진행료개진,제출일충신적다감입연지상공간중구방법,불부능구판단최소감입유수,환능구학정최가시간연지시량.Cao방법적응용영역득이확전,사득상공간중구문제가이재일개판단표준하완성.수치방진결과표명,해개진방법재처리포함다개강렬주기성분적신호시비목전상용적단일감입연지방법유명현우세.
Cao method proposed in Ref.5 is only applied to determine embedding dimension.The improved Cao method presented extends the Cao method's application field.This new method can be used to estimate not only embedding dimension but also embedding delay vector.Using the new method,it is possible to settle the phase space reconstruction problem by a multiple delay embedding.The numerical simulation results show preliminarily that the improved method is suitable and valid in phase space re construction of time seties.Especially in dealing with the time series consisting of multiple strong periodicities with greatly dif-feting timescales,the new method has obvious advantage over other uniform delay embedding methods.