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基于稀疏逼近与压缩感知的脑电信号重构研究

[The reconstruction study of EEG signal based on sparse approximation & compressive sensing].

作者信息

Wu Min, Wei Zhihui, Tang Liming, Sun Yubao, Xiao Liang

机构信息

Nanjing General Hospital of Nanjing Area Command, Nanjing, Jiangsu 210002, China.

出版信息

Zhongguo Yi Liao Qi Xie Za Zhi. 2010 Jul;34(4):241-5.

Abstract

OBJECTIVE

Due to random sampling of non-adaptive, high-quality reconstruction of the original signal, one-dimensional non-stationary multi-channel EEG signal can be achieved automatic detection and analysis.

METHODS

A new multicomponent redundant dictionaries with the atoms of the Gaussian function and its first and second derivatives was built in the paper, and reconstructed signal base on compressed sensing measurement model.

RESULTS

The selected dictionary atoms can more effectively match the EEG signals in a variety of transient characteristics of the waveform, allowing the formation of EEG signal is more sparse matching pursuit decomposition. With the theory based on compressed sensing signal sampling, only half of the original signal with different sample size can be used to reconstruct the original signal quality, the important instantaneous features of the waveform can well be maintained.

CONCLUSION

Signal sampling based on the theory of compressed sensing contains enough information of the original signal, using the prior conditions of EEG signals (or compressibility) sparsity, high-dimensional signal and original image can be reconstructed through a certain decoding of linear or nonlinear model.

摘要

目的

通过对非自适应的原始信号进行随机采样、高质量重构,实现一维非平稳多通道脑电信号的自动检测与分析。

方法

本文构建了一种新的具有高斯函数及其一阶和二阶导数原子的多分量冗余字典,并基于压缩感知测量模型重构信号。

结果

所选取的字典原子能够更有效地匹配脑电信号波形的多种瞬态特征,使得脑电信号形成更稀疏的匹配追踪分解。基于压缩感知信号采样理论,只需不同采样点数的原始信号的一半即可重构出质量较好的原始信号,波形的重要瞬时特征能够得到很好的保留。

结论

基于压缩感知理论的信号采样包含了原始信号足够的信息,利用脑电信号稀疏性(或可压缩性)的先验条件,通过一定的线性或非线性模型解码可重构高维信号和原始图像。

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