AI Article Synopsis
- The fractal theory examines irregular and chaotic objects that exhibit self-similarity between their parts and whole, with the fractal dimension serving as a key measure of this irregularity and self-similarity.! -
- This paper discusses the application of fractal geometry to analyze spectral signals in accordance with Lambert-Beer's law, proposing a method to use fractal dimensions for recognizing these signals.! -
- The author demonstrates how to compute the fractal dimension of a spectral signal through reconstructing phase space and illustrates its effectiveness in distinguishing different spectral signals with a practical example.!
Article Abstract
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-similarity 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 values of the fractal dimension to recognize different spectral signal, and gives an example for explanation.
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