Analysis of Nonlinear Time Series by Bispectrum Methods and its Applications


The Transactions of the Korea Information Processing Society (1994 ~ 2000), Vol. 6, No. 5, pp. 1312-1322, May. 1999
10.3745/KIPSTE.1999.6.5.1312,   PDF Download:

Abstract

The world of linearity, which is regular, predictable and irrelevant to time sequence in most natural phenomenon, is a very small part. In fact, signals generated from natural phenomenon with which we're in contact are showed only slight linearity. Therefore it is very difficult to understand and analyze natural phenomenon with only predictable and regular linear systems. Due to these reasons researches concerning non-linear signals that of analysis were excluded being regarded as noise are being actively carried out. Countless signals generated from nonlinear system have the information about itself, and analyzing those signals are not simple as in the case of linear system. However, if we find the regularity fixed-quantizing these signals and get information from it, that will be able to be used effectively in so many fields. Hence, in this paper we used a higher order spectrum, especially the bispectrum. After we prove the validity applying bispectrum to logistic map, which is typical chaotic signal. Subsequently by showing the result applying for actual signal analysis of EEG according to auditory stimuli, we show that higher order spectra is a very useful parameter in analysis of non-linear signals and the result of EEG anaylsis according to auditory stimuli.


Statistics
Show / Hide Statistics

Statistics (Cumulative Counts from September 1st, 2017)
Multiple requests among the same browser session are counted as one view.
If you mouse over a chart, the values of data points will be shown.


Cite this article
[IEEE Style]
K. E. Soo and L. Y. Jung, "Analysis of Nonlinear Time Series by Bispectrum Methods and its Applications," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 6, no. 5, pp. 1312-1322, 1999. DOI: 10.3745/KIPSTE.1999.6.5.1312.

[ACM Style]
Kim Eung Soo and Lee You Jung. 1999. Analysis of Nonlinear Time Series by Bispectrum Methods and its Applications. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 6, 5, (1999), 1312-1322. DOI: 10.3745/KIPSTE.1999.6.5.1312.