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Influences of the signal border extension in the discrete wavelet transform in EEG spike detection

机译:离散小波变换中信号边界扩展对脑电信号尖峰检测的影响

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Introduction The discrete wavelet transform is used in many studies as signal preprocessor for EEG spike detection. An inherent process of this mathematical tool is the recursive wavelet convolution over the signal that is decomposed into detail and approximation coefficients. To perform these convolutions, firstly it is necessary to extend signal borders. The selection of an unsuitable border extension algorithm may increase the false positive rate of an EEG spike detector. Methods In this study we analyzed nine different border extensions used for convolution and 19 mother wavelets commonly seen in other EEG spike detectors in the literature. Results The border extension may degrade an EEG spike detector up to 44.11%. Furthermore, results behave differently for distinct number of wavelet coefficients. Conclusion There is not a best border extension to be used with any EEG spike detector based on the discrete wavelet transform, but the selection of the most adequate border extension is related to the number of coefficients of a mother wavelet.
机译:引言离散小波变换在许多研究中用作脑电信号峰值检测的信号预处理器。该数学工具的固有过程是对信号进行递归小波卷积,将其分解为细节和近似系数。为了进行这些卷积,首先必须扩展信号边界。选择不合适的边界扩展算法可能会增加EEG尖峰检测器的误报率。方法在本研究中,我们分析了用于卷积的9种不同边界扩展和19种在其他EEG尖峰检测器中常见的子波。结果边界扩展可能会使EEG峰值检测器降级高达44.11%。此外,对于不同数量的小波系数,结果的表现也不同。结论基于离散小波变换的任何EEG尖峰检测器都没有最佳的边界扩展,但是最合适的边界扩展的选择与母子波的系数数量有关。

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