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用信号奇异度确定边界的数值方法

A Numerical Method for Boundary Determination with Signal Singularity Degree
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摘要 根据测量信号在边界处具有奇异点这一特点,以Lipschitz指数α定量刻划信号在奇异点处的奇异程度,利用小波分析的“变焦距”特性分析测量信号,确定奇异点的位置并计算相应的奇异度Lipschitz指数α,最后将α值相等或相近的奇异点顺序连接作为边界.对几种含奇异变化的学术信号中Lipschitz指数α随信号奇异程度变化的计算表明,α在奇异点处随信号的奇异程度单调变化,因而可以将其作为边界划分的定量标准. Based on the feature that signal singular points often appear at the boundary and its singularity is described by Lipschitz α, wavelet transform,because of its automatic zooming property , is applied to signal analysis to detect signal singular points and calculate the singularity degree Lipschitz a at the same time. The boundary is therefore determined by linking the singular points with same or approximate α values. Some academic signals including singular point are studied and the results show that Lipschitz α is monodromic so that it can be treated as a quantity parameter for boundary determination.
出处 《海洋通报》 CAS CSCD 北大核心 1999年第2期70-75,共6页 Marine Science Bulletin
关键词 Lipschitz指数 信号奇异度 边界划分 海洋观测 Lipschitz α signal singularity boundary determination
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