利用多通道测量数据的频谱分析对复杂系统进行功能断层扫描

IF 0.7 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
M. N. Ustinin, A. I. Boyko, S. D. Rykunov
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引用次数: 0

摘要

摘要 提出了一种从电磁场确定复杂生物和物理系统结构的新方法。该方法基于多通道时间序列的频谱分析。通过对长期时间序列进行积分,实现了傅立叶变换的优化。还可以对给定频率进行微调,以提高信噪比。在分析详细的多通道频谱时,在每个频率重建信号,并对得到的场图求解逆问题。使用一个基本源的模型可以通过穷举搜索正确解决逆问题。找到的所有频率的基本源集合代表了所研究的复杂系统的功能结构。该方法已在计算机和物理模型上得到验证,并成功应用于各种生物问题。将脑电图分离为来自大脑的信号和生理噪声的结果已经获得。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Functional Tomography of Complex Systems Using Spectral Analysis of Multichannel Measurement Data

Functional Tomography of Complex Systems Using Spectral Analysis of Multichannel Measurement Data

Abstract

A new method has been proposed for determining the structure of complex biological and physical systems from their electromagnetic fields. The method is based on spectral analysis of multichannel time series. Optimization of the Fourier transform is achieved by integrating long-term time series. Fine tuning to a given frequency is also possible to increase the signal-to-noise ratio. When analyzing a detailed multichannel spectrum, the signal is reconstructed at each frequency and the inverse problem is solved for the resulting field map. Using the model of one elementary source allows one to correctly solve the inverse problem by exhaustive search. The set of found elementary sources for all frequencies represents the functional structure of the complex system being studied. The method was verified on computer and physical models, after which it was successfully applied in various biological problems. The separation of the encephalogram into a signal from the brain and physiological noise was obtained.

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来源期刊
PATTERN RECOGNITION AND IMAGE ANALYSIS
PATTERN RECOGNITION AND IMAGE ANALYSIS Computer Science-Computer Graphics and Computer-Aided Design
CiteScore
1.80
自引率
20.00%
发文量
80
期刊介绍: The purpose of the journal is to publish high-quality peer-reviewed scientific and technical materials that present the results of fundamental and applied scientific research in the field of image processing, recognition, analysis and understanding, pattern recognition, artificial intelligence, and related fields of theoretical and applied computer science and applied mathematics. The policy of the journal provides for the rapid publication of original scientific articles, analytical reviews, articles of the world''s leading scientists and specialists on the subject of the journal solicited by the editorial board, special thematic issues, proceedings of the world''s leading scientific conferences and seminars, as well as short reports containing new results of fundamental and applied research in the field of mathematical theory and methodology of image analysis, mathematical theory and methodology of image recognition, and mathematical foundations and methodology of artificial intelligence. The journal also publishes articles on the use of the apparatus and methods of the mathematical theory of image analysis and the mathematical theory of image recognition for the development of new information technologies and their supporting software and algorithmic complexes and systems for solving complex and particularly important applied problems. The main scientific areas are the mathematical theory of image analysis and the mathematical theory of pattern recognition. The journal also embraces the problems of analyzing and evaluating poorly formalized, poorly structured, incomplete, contradictory and noisy information, including artificial intelligence, bioinformatics, medical informatics, data mining, big data analysis, machine vision, data representation and modeling, data and knowledge extraction from images, machine learning, forecasting, machine graphics, databases, knowledge bases, medical and technical diagnostics, neural networks, specialized software, specialized computational architectures for information analysis and evaluation, linguistic, psychological, psychophysical, and physiological aspects of image analysis and pattern recognition, applied problems, and related problems. Articles can be submitted either in English or Russian. The English language is preferable. Pattern Recognition and Image Analysis is a hybrid journal that publishes mostly subscription articles that are free of charge for the authors, but also accepts Open Access articles with article processing charges. The journal is one of the top 10 global periodicals on image analysis and pattern recognition and is the only publication on this topic in the Russian Federation, Central and Eastern Europe.
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