摘要
分形理论是研究一类不规则、混乱复杂,但其局部和整体具有相似性体系的科学。分形维数是分形理论中用于描述对象的不规则度和自相似性的基本度量。文章以符合朗伯-比尔定律的光谱信号为研究对象,在概述分形几何基本原理的基础上,提出了以分形维数作为光谱识别特征的方法,运用相空间重构得出了光谱信号的分形维数,通过对光谱信号的分形维数进行比较,达到识别不同光谱的目的,最后举例对该方法进行了说明。
The fractal theory is a discipline that studies a kind of irregular and chaotic object with similarity of its part and whole. The fractal dimension is a basic index mark of irregularity and self-similarlty in the fractal theory. The present paper takes the spectral signal according with Lambert-beer＇ law as the object, introduces the basic theory of fractal geometry in brief, puts forward the method of fractal dimension as the feature of spectral signal recognition, makes use of reconstructing phase space to gain the fractal dimension of spectral signal, compares different nal, and gives an example for explanation. values of the fractal dimension to recognize different spectral signal, and gives an example for explanation.
出处
《光谱学与光谱分析》
SCIE
EI
CAS
CSCD
北大核心
2006年第4期772-774,共3页
Spectroscopy and Spectral Analysis
基金
国家自然科学基金重点项目(69476023)
国家"863"项目(2004AA4040
2004AA404023)
国家自然科学基金(60308007)
重庆市"十五"攻关项目(73418149)资助
关键词
分形
分形维数
光谱分析
光谱识别
Fractal
Fractal dlmension
Spectral analysis
Spectral signal recognition
